From 685873d851adb62ccf1a1db5baa029b9a9386fd6 Mon Sep 17 00:00:00 2001 From: parduino Date: Mon, 19 Oct 2026 11:05:58 -0700 Subject: [PATCH 1/2] Adding rst for TetrahedraUP element and Triangular UP elements --- source/user/manual/model/element.rst | 3 + .../user/manual/model/elements/SSPtetUP.rst | 152 +++++++++++++++ .../model/elements/TenNodeTetrahedronUP.rst | 175 ++++++++++++++++++ source/user/manual/model/elements/Tri31UP.rst | 145 +++++++++++++++ 4 files changed, 475 insertions(+) create mode 100644 source/user/manual/model/elements/SSPtetUP.rst create mode 100644 source/user/manual/model/elements/TenNodeTetrahedronUP.rst create mode 100644 source/user/manual/model/elements/Tri31UP.rst diff --git a/source/user/manual/model/element.rst b/source/user/manual/model/element.rst index 6055281c..7dc4b0a7 100644 --- a/source/user/manual/model/element.rst +++ b/source/user/manual/model/element.rst @@ -172,6 +172,9 @@ The following subsections contain information about **$eleType** and the number elements/TwentyEightNodeBrickUP elements/SSPquadUP elements/SSPbrickUP + elements/Tri31UP + elements/SSPtetUP + elements/TenNodeTetrahedronUP 12. Contact diff --git a/source/user/manual/model/elements/SSPtetUP.rst b/source/user/manual/model/elements/SSPtetUP.rst new file mode 100644 index 00000000..c20c0dae --- /dev/null +++ b/source/user/manual/model/elements/SSPtetUP.rst @@ -0,0 +1,152 @@ +.. _SSPtetUP: + +SSPtetUP Element +^^^^^^^^^^^^^^^^ + +This command constructs an experimental four-node, single-point tetrahedral +element with a stabilized u-p formulation for fluid-saturated porous media. +Displacements and pore pressure use linear interpolation. Use with +``-ndm 3 -ndf 4`` and an ND material supporting ``ThreeDimensional`` behavior. + +.. function:: element SSPtetUP $eleTag $N1 $N2 $N3 $N4 $matTag $fBulk $fDen $k1 $k2 $k3 $e $alpha <$b1 $b2 $b3> <-lumped> + +.. csv-table:: + :header: "Argument", "Type", "Description" + :widths: 18, 12, 70 + + "$eleTag", "integer", "Unique element tag." + "$N1 ... $N4", "integer", "Four distinct corner-node tags; each node has four DOFs." + "$matTag", "integer", "Tag of an ND material supporting a six-component ThreeDimensional copy." + "$fBulk", "float", "Positive pore-fluid bulk modulus." + "$fDen", "float", "Nonnegative pore-fluid mass density." + "$k1 $k2 $k3", "float", "Nonnegative permeability mobilities in the global x; y; and z directions." + "$e", "float", "Nonnegative void ratio; porosity is e/(1+e)." + "$alpha", "float", "Nonnegative pressure-rate gradient stabilization coefficient; units are length squared divided by stress." + "$b1 $b2 $b3", "float", "Optional body accelerations in global x; y; and z; default zero. Supply all three together." + "-lumped", "string", "Optional flag to lump displacement mass only; pressure storage and stabilization remain consistent." + +.. note:: + + The registered element command is case-sensitive: use ``SSPtetUP``. + +Node and pressure conventions +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +Each node has three displacement DOFs and one generalized pressure DOF: + +* DOFs 1-3 are the solid displacements. +* The velocity of DOF 4 is pore pressure. +* The acceleration of DOF 4 is the pore-pressure rate. +* The displacement of DOF 4 is the time integral of pore pressure. + +For example, ``nodeVel $nodeTag 4`` returns pore pressure. To prescribe a drained +boundary with initially zero pressure, fix DOF 4. Either tetrahedral orientation +is accepted, but a zero-volume or numerically degenerate element is rejected. + +Formulation and use +~~~~~~~~~~~~~~~~~~~ + +The element uses one constitutive integration point, constant solid strain, +and exact tetrahedral integrals for consistent mass and fluid storage. +The pressure stabilization matrix is + +.. math:: + + T_{ij} = \alpha V\,\nabla N_i\cdot\nabla N_j, + +where :math:`V` is element volume. It adds artificial compressibility through +the pressure rate. The pressure block of the generalized mass matrix is +:math:`-(S+T)`, where :math:`S` is the storage matrix with coefficient +:math:`n/K_f` and :math:`n=e/(1+e)`. Positive ``alpha`` enables stabilization; +zero disables it. This coefficient is not the dimensionless Biot coefficient. + +Choose ``alpha`` with consistent units and assess mesh, time-step, and parameter +sensitivity. The brick-paper estimate +:math:`\alpha=\alpha_0 h^2/(K_s+4G_s/3)` is a starting point for investigation, +not a calibrated tetrahedral prescription. Here :math:`K_s` and :math:`G_s` +denote the solid-phase bulk and shear moduli used in that estimate. + +Use a transient integrator, such as Newmark, with a general or +symmetric-indefinite solver. Static analysis alone does not assemble the +pressure equations, which are in the generalized mass and damping matrices. +The coupled generalized mass matrix is indefinite. + +The material supplies effective skeleton stresses and the mixture density used +for solid inertia and gravity. ``fDen`` enters the fluid gravity term. The +permeabilities are the mobilities in +:math:`\boldsymbol{q}=\boldsymbol{k}(-\nabla p+\rho_f\boldsymbol{b})`; +hydraulic conductivity must be converted using fluid unit weight when needed. +Rayleigh damping applies only to the displacement block. + +.. warning:: + + This is a research formulation. A linear tetrahedron has no solid hourglass + modes, so no brick hourglass stiffness is added. Pressure stabilization does + not remove bending or drained-skeleton volumetric locking, and does not + guarantee monotone pressure fields. Validate mesh and parameter sensitivity + for the intended application. + +Output and parameters +~~~~~~~~~~~~~~~~~~~~~ + +Valid :ref:`elementRecorder` queries include: + +* ``force`` or ``forces``: 16-component resisting force without inertia. +* ``stress`` or ``stress3D6``: six effective-stress components at the material point. +* ``strain`` or ``strain3D6``: six strain components at the material point. +* ``mass``, ``damping``, and ``stiffness``: the corresponding 16-by-16 matrices. +* ``material 1 ...``: a response supported by the sole material point. + +Stress and strain ordering is ``xx yy zz xy yz xz``; shear strains are engineering +shear strains. Record pore pressure with a Node recorder using ``-dof 4 vel``. +Element parameters ``xPerm``, ``yPerm``, ``zPerm``, and ``alpha`` may be updated +during analysis. Other parameter requests are forwarded to the material. +Boundary tractions and fluid fluxes require consistent nodal loads; no +tetrahedral face-load parser is provided. + +.. admonition:: Example + + These examples create the element and pressure recorder. Add boundary + conditions, loads, and transient analysis commands for a complete analysis. + Numerical values must use a consistent unit system. + + 1. **Tcl Code** + + .. code-block:: tcl + + wipe + model BasicBuilder -ndm 3 -ndf 4 + node 1 0.0 0.0 0.0 + node 2 1.0 0.0 0.0 + node 3 0.0 1.0 0.0 + node 4 0.0 0.0 1.0 + nDMaterial ElasticIsotropic 1 12000.0 0.25 2.0 + element SSPtetUP 1 1 2 3 4 1 24000.0 1.0 1.0e-6 1.0e-6 1.0e-6 0.6 2.0e-5 0.0 0.0 -9.81 + recorder Node -file SSPtetUP_pressure.out -time -node 1 2 3 4 -dof 4 vel + + 2. **Python Code** + + .. code-block:: python + + import openseespy.opensees as ops + + ops.wipe() + ops.model('basic', '-ndm', 3, '-ndf', 4) + ops.node(1, 0.0, 0.0, 0.0) + ops.node(2, 1.0, 0.0, 0.0) + ops.node(3, 0.0, 1.0, 0.0) + ops.node(4, 0.0, 0.0, 1.0) + ops.nDMaterial('ElasticIsotropic', 1, 12000.0, 0.25, 2.0) + ops.element('SSPtetUP', 1, 1, 2, 3, 4, 1, + 24000.0, 1.0, 1.0e-6, 1.0e-6, 1.0e-6, 0.6, 2.0e-5, + 0.0, 0.0, -9.81) + ops.recorder('Node', '-file', 'SSPtetUP_pressure.out', '-time', + '-node', 1, 2, 3, 4, '-dof', 4, 'vel') + +Reference: C. R. McGann, P. Arduino, and P. Mackenzie-Helnwein, +*A stabilized single-point finite element formulation for three-dimensional +dynamic analysis of saturated soils* (2013). The pressure stabilization is +adapted from the brick formulation; that paper does not validate this +tetrahedral implementation. + +Code developed by: Pedro Arduino, University of Washington and Marlio Molina Manrique, Politecnico di Torino. diff --git a/source/user/manual/model/elements/TenNodeTetrahedronUP.rst b/source/user/manual/model/elements/TenNodeTetrahedronUP.rst new file mode 100644 index 00000000..769366e8 --- /dev/null +++ b/source/user/manual/model/elements/TenNodeTetrahedronUP.rst @@ -0,0 +1,175 @@ +.. _TenNodeTetrahedronUP: + +TenNodeTetrahedronUP Element +^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +This command constructs a ten-node displacement / four-node pressure +tetrahedral element for three-dimensional analysis of fluid-saturated porous +media. Quadratic displacement interpolation is used at all ten nodes and +linear pressure interpolation at the four corners. The element has 34 DOFs +and uses ND materials supporting ``ThreeDimensional`` behavior. + +.. function:: element TenNodeTetrahedronUP $eleTag $N1 $N2 $N3 $N4 $N5 $N6 $N7 $N8 $N9 $N10 $matTag $bulk $fDen $k1 $k2 $k3 <$b1 $b2 $b3> + +.. csv-table:: + :header: "Argument", "Type", "Description" + :widths: 18, 12, 70 + + "$eleTag", "integer", "Unique element tag." + "$N1 ... $N4", "integer", "Four corner-node tags; each node must have four DOFs." + "$N5 ... $N10", "integer", "Six midside-node tags in the edge order given below; each node must have three DOFs." + "$matTag", "integer", "Tag of an ND material supporting a six-component ThreeDimensional copy." + "$bulk", "float", "Positive combined storage bulk modulus Kc; the storage coefficient is 1/Kc." + "$fDen", "float", "Nonnegative pore-fluid mass density." + "$k1 $k2 $k3", "float", "Nonnegative permeability mobilities in the global x; y; and z directions." + "$b1 $b2 $b3", "float", "Optional body accelerations in global x; y; and z; default zero." + +Node ordering and model builders +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +Create the corner nodes using ``-ndm 3 -ndf 4``, then switch to +``-ndm 3 -ndf 3`` to create the midside nodes. Both groups remain in the same +domain. Do not create all ten nodes with four DOFs: the element checks the +required DOF count for each node. + +.. csv-table:: Midside-node order + :header: "Node argument", "Edge between corner nodes" + :widths: 25, 40 + + "$N5", "$N1-$N2" + "$N6", "$N2-$N3" + "$N7", "$N3-$N1" + "$N8", "$N1-$N4" + "$N9", "$N3-$N4" + "$N10", "$N2-$N4" + +In particular, node 9 belongs to edge 3-4 and node 10 to edge 2-4. For a +straight-sided tetrahedron, place the six midside nodes at the edge midpoints. +Avoid degenerate or inverted geometry and verify the Jacobian throughout the +element for distorted meshes. + +Pressure and storage conventions +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +At corner nodes, DOFs 1-3 are solid displacements and the velocity of DOF 4 is +pore pressure. Its acceleration is the pressure rate and its displacement is +the time integral of pressure. Midside nodes have displacement DOFs only and +have no independent pressure DOF. A pressure field within the element is +interpolated from the four corner pressures. + +Fix DOF 4 at a corner to impose a drained boundary with initially zero pressure. +Record pressure using a Node recorder with ``-dof 4 vel`` on corner nodes only, +or use the element's ``pressure`` response. + +.. important:: + + ``bulk`` is a combined storage bulk modulus, not automatically the pore-fluid + bulk modulus. The implementation forms + + .. math:: + + S_{ij} = \int_{\Omega} \frac{N_i^p N_j^p}{K_c}\,dV. + + Supply :math:`K_c` corresponding to the intended storage coefficient. + If the intended coefficient is :math:`n/K_f`, use :math:`K_c=K_f/n`. + The element does not accept a void ratio or compute this conversion itself. + +The element has no ``alpha`` argument, no added pressure-gradient stabilization +term, and no ``-lumped`` option. It uses quadratic displacement / linear pressure +interpolation rather than the equal-order stabilized formulation of ``SSPtetUP``. +Solid stiffness and coupled terms use four integration points; displacement +mass uses an 11-point rule. Four constitutive material copies are maintained. + +Use a transient integrator, such as Newmark, with a general or +symmetric-indefinite solver. Pressure storage and coupling are assembled in +the generalized mass and damping matrices; static analysis alone does not +assemble the coupled pressure equations. The generalized pressure-storage +mass block is negative by the shifted u-p convention. + +The material provides effective skeleton stresses and the mixture density used +for displacement inertia and gravity. ``fDen`` enters fluid gravity. Body +inputs are accelerations. The permeabilities are the mobilities in +:math:`\boldsymbol{q}=\boldsymbol{k}(-\nabla p+\rho_f\boldsymbol{b})`; +convert hydraulic conductivity using fluid unit weight when needed. +Rayleigh damping is restricted to displacement blocks. SelfWeight loads are +supported; boundary tractions and fluxes require consistent nodal loads. + +Output and parameters +~~~~~~~~~~~~~~~~~~~~~ + +Valid :ref:`elementRecorder` queries include: + +* ``force`` or ``forces``: 34-component resisting force without inertia. + Aliases are ``globalForce`` and ``globalForces``. +* ``forceIncInertia`` or ``forcesIncInertia``: resisting force including velocity + and acceleration terms. +* ``stress`` or ``stresses``: 24 effective-stress values, six per integration point. +* ``strain`` or ``strains``: 24 strain values, six per integration point. +* ``pressure`` or ``pressures``: four corner pressures in node order 1-4. + Aliases are ``porePressure`` and ``porePressures``. +* ``mass``, ``damping``, and ``stiffness``: 34-by-34 matrices. ``damp`` and + ``coupling`` alias the full damping matrix; ``stiff`` aliases stiffness. +* ``material $matNum ...``: a material response at integration point 1-4. + ``integrPoint`` and ``integrationPoint`` are aliases for ``material``. + +Stress and strain components at each integration point are ordered +``xx yy zz xy yz xz``; shear strains are engineering shear strains. Element +parameters ``xPerm``, ``yPerm``, and ``zPerm`` support permeability updates; +other parameter requests are forwarded to the material points. + +.. admonition:: Example + + These examples create a straight-sided element and pressure recorder. + Add supports, loads, and transient analysis commands for a complete analysis. + The storage example uses porosity 0.375 and fluid bulk modulus 24000.0, + giving a combined storage bulk modulus of 64000.0. Numerical values must + use a consistent unit system. + + 1. **Tcl Code** + + .. code-block:: tcl + + wipe + model BasicBuilder -ndm 3 -ndf 4 + node 1 0.0 0.0 0.0 + node 2 1.0 0.0 0.0 + node 3 0.0 1.0 0.0 + node 4 0.0 0.0 1.0 + model BasicBuilder -ndm 3 -ndf 3 + node 5 0.5 0.0 0.0 + node 6 0.5 0.5 0.0 + node 7 0.0 0.5 0.0 + node 8 0.0 0.0 0.5 + node 9 0.0 0.5 0.5 + node 10 0.5 0.0 0.5 + nDMaterial ElasticIsotropic 1 12000.0 0.25 2.0 + element TenNodeTetrahedronUP 1 1 2 3 4 5 6 7 8 9 10 1 64000.0 1.0 1.0e-6 1.0e-6 1.0e-6 0.0 0.0 -9.81 + recorder Node -file TenNodeTetrahedronUP_pressure.out -time -node 1 2 3 4 -dof 4 vel + + 2. **Python Code** + + .. code-block:: python + + import openseespy.opensees as ops + + ops.wipe() + ops.model('basic', '-ndm', 3, '-ndf', 4) + ops.node(1, 0.0, 0.0, 0.0) + ops.node(2, 1.0, 0.0, 0.0) + ops.node(3, 0.0, 1.0, 0.0) + ops.node(4, 0.0, 0.0, 1.0) + ops.model('basic', '-ndm', 3, '-ndf', 3) + ops.node(5, 0.5, 0.0, 0.0) + ops.node(6, 0.5, 0.5, 0.0) + ops.node(7, 0.0, 0.5, 0.0) + ops.node(8, 0.0, 0.0, 0.5) + ops.node(9, 0.0, 0.5, 0.5) + ops.node(10, 0.5, 0.0, 0.5) + ops.nDMaterial('ElasticIsotropic', 1, 12000.0, 0.25, 2.0) + ops.element('TenNodeTetrahedronUP', 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, + 64000.0, 1.0, 1.0e-6, 1.0e-6, 1.0e-6, 0.0, 0.0, -9.81) + ops.recorder('Node', '-file', 'TenNodeTetrahedronUP_pressure.out', '-time', + '-node', 1, 2, 3, 4, '-dof', 4, 'vel') + +Code developed by: Marlio Molina Manrique, Politecnico di Torino, and Pedro +Arduino, University of Washington. diff --git a/source/user/manual/model/elements/Tri31UP.rst b/source/user/manual/model/elements/Tri31UP.rst new file mode 100644 index 00000000..66f52118 --- /dev/null +++ b/source/user/manual/model/elements/Tri31UP.rst @@ -0,0 +1,145 @@ +.. _Tri31UP: + +Tri31UP Element +^^^^^^^^^^^^^^^ + +This command constructs an experimental three-node, single-point triangle with +a stabilized u-p formulation for plane-strain analysis of fluid-saturated porous +media. Use with ``-ndm 2 -ndf 3`` and an ND material supporting ``PlaneStrain``. + +.. function:: element Tri31UP $eleTag $N1 $N2 $N3 $matTag $thick $fBulk $fDen $k1 $k2 $e $alpha <$b1 $b2> <-lumped> + +.. csv-table:: + :header: "Argument", "Type", "Description" + :widths: 18, 12, 70 + + "$eleTag", "integer", "Unique element tag." + "$N1 $N2 $N3", "integer", "Three distinct corner-node tags; each node has three DOFs." + "$matTag", "integer", "Tag of an ND material supporting a three-component PlaneStrain copy." + "$thick", "float", "Positive out-of-plane thickness." + "$fBulk", "float", "Positive pore-fluid bulk modulus." + "$fDen", "float", "Nonnegative pore-fluid mass density." + "$k1 $k2", "float", "Nonnegative permeability mobilities in the global x and y directions." + "$e", "float", "Nonnegative void ratio; porosity is e/(1+e)." + "$alpha", "float", "Nonnegative pressure-rate gradient stabilization coefficient; units are length squared divided by stress." + "$b1 $b2", "float", "Optional body accelerations in global x and y; default zero. Supply both together." + "-lumped", "string", "Optional flag to lump displacement mass only; pressure storage and stabilization remain consistent." + +Node and pressure conventions +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +DOFs 1 and 2 are solid displacements. The velocity of DOF 3 is pore pressure, +its acceleration is the pore-pressure rate, and its displacement is the time +integral of pore pressure. For example, ``nodeVel $nodeTag 3`` returns pressure. +Fix DOF 3 to impose a drained boundary with initially zero pressure. + +Clockwise and counterclockwise connectivity are accepted; degenerate triangles +are rejected. This element supports plane strain only. Its argument order is +different from the displacement-only ``Tri31`` command. + +Formulation and use +~~~~~~~~~~~~~~~~~~~ + +The solid uses constant strain and one material point. Consistent displacement +mass and fluid storage are integrated exactly. With :math:`A` the triangle area +and :math:`t` its thickness, the pressure stabilization matrix is + +.. math:: + + T_{ij} = \alpha tA\,\nabla N_i\cdot\nabla N_j. + +It enters the pressure block of the generalized mass matrix as :math:`-(S+T)`. +The storage coefficient in :math:`S` is :math:`n/K_f`, with +:math:`n=e/(1+e)`. Positive ``alpha`` enables pressure-rate stabilization; zero +disables it. ``alpha`` is dimensional, rather than a Biot coefficient. + +The quadrilateral-paper estimate +:math:`\alpha=h^2/[4(K_s+4G_s/3)]` can guide initial experiments, but is not +calibrated here for triangles. Here :math:`K_s` and :math:`G_s` are solid-phase +bulk and shear moduli. Specify a length scale and assess mesh, time-step, and +alpha sensitivity. The stabilization adds artificial compressibility to +pressure rate and does not alter steady permeability. + +Use a transient integrator, such as Newmark, and a general or +symmetric-indefinite solver. Static analysis alone omits the pressure equations, +which reside in the generalized mass and damping matrices. The generalized +mass matrix is indefinite. Rayleigh damping affects displacement blocks only. + +The material supplies effective skeleton stresses and the mixture density used +for inertia and gravity. ``fDen`` enters fluid gravity. Body inputs are +accelerations. Permeabilities are the mobilities in +:math:`\boldsymbol{q}=\boldsymbol{k}(-\nabla p+\rho_f\boldsymbol{b})`; +convert hydraulic conductivity using fluid unit weight when needed. + +.. warning:: + + This is a research formulation. A constant-strain triangle has no solid + hourglass modes. The quadrilateral's solid hourglass and enhanced-strain + terms are not added. Pressure stabilization does not remove bending or + drained-skeleton volumetric locking, nor guarantee pressure monotonicity. + +Output and parameters +~~~~~~~~~~~~~~~~~~~~~ + +Valid :ref:`elementRecorder` queries include: + +* ``force`` or ``forces``: nine-component resisting force without inertia. +* ``dynamicForce``: resisting force including velocity and acceleration terms. +* ``stress`` or ``stress2D3``: three effective-stress components. +* ``strain`` or ``strain2D3``: three strain components. +* ``mass``, ``damping``, ``stiffness``, and ``initialStiffness``: nine-by-nine matrices. +* ``material 1 ...``: a response supported by the sole material point. + +Stress and strain ordering is ``xx yy xy``; the shear strain is engineering +shear strain. Record pressure with a Node recorder using ``-dof 3 vel``. +Element parameters ``xPerm``, ``yPerm``, and ``alpha`` support runtime updates. +Other parameter requests are forwarded to the material. + +SelfWeight loads are supported. Apply edge tractions and fluid fluxes as +consistent nodal loads. The upper/lower/left/right pressure arguments of +``SSPquadUP`` are not supported by this triangular element. + +.. admonition:: Example + + These examples create the element and pressure recorder. Add boundary + conditions, loads, and transient analysis commands for a complete analysis. + Numerical values must use a consistent unit system. + + 1. **Tcl Code** + + .. code-block:: tcl + + wipe + model BasicBuilder -ndm 2 -ndf 3 + node 1 0.0 0.0 + node 2 1.0 0.0 + node 3 0.0 1.0 + nDMaterial ElasticIsotropic 1 12000.0 0.25 2.0 + element Tri31UP 1 1 2 3 1 0.7 24000.0 1.0 1.0e-6 1.0e-6 0.6 2.0e-5 0.0 -9.81 + recorder Node -file Tri31UP_pressure.out -time -node 1 2 3 -dof 3 vel + + 2. **Python Code** + + .. code-block:: python + + import openseespy.opensees as ops + + ops.wipe() + ops.model('basic', '-ndm', 2, '-ndf', 3) + ops.node(1, 0.0, 0.0) + ops.node(2, 1.0, 0.0) + ops.node(3, 0.0, 1.0) + ops.nDMaterial('ElasticIsotropic', 1, 12000.0, 0.25, 2.0) + ops.element('Tri31UP', 1, 1, 2, 3, 1, + 0.7, 24000.0, 1.0, 1.0e-6, 1.0e-6, 0.6, 2.0e-5, + 0.0, -9.81) + ops.recorder('Node', '-file', 'Tri31UP_pressure.out', '-time', + '-node', 1, 2, 3, '-dof', 3, 'vel') + +Reference: C. R. McGann, P. Arduino, and P. Mackenzie-Helnwein, +*Stabilized single-point 4-node quadrilateral element for dynamic analysis of +fluid saturated porous media* (2011 preprint). The pressure stabilization is +adapted from the quadrilateral formulation; that paper does not validate this +triangular implementation. + +Code developed by: Pedro Arduino, University of Washington. 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average of nodes 61 and 62 + + + P2 Ground surface + + + y = 30 m · average of nodes 121 and 122 + + + + + + + + + + + HORIZONTAL MOTION INPUT + + + + + + A + t +   + t + h + e +   + b + a + s + e + : +   + ( + ) + = + ( + ) + F + t + c + v + t + x + i + n + + + + + Elastic half-space + Horizontal Lysmer dashpot + + + + + + + + + + + y + + + x + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 2D FREE-FIELD SOIL COLUMN + + + Plane strain / SSPquadUP or Tri31UP / out-of-plane thickness: 2 m + + + Comparison histories: horizontal displacement, vertical displacement and pore pressure. + + + Diamonds mark comparison elevations; circles mark the two averaged nodes. 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zf_>+~7RUJ9bf5i7xGsurWBy~zoZ_Y`$F*d zLGl6FC73F+XS)1aqA_gkT1unk>m6eEo>>LSi%z!486Nq1y?PEBWT> zX29FYZAg+CUWZbwv@px5Weixg!^8BAp-^o-buDnW)TKcBHi`+`R{YbH&`?P3#rQ%{b9zFIEmAs$NhzBvwZ^m z{>= $waterHeight-1.0e-10} { fix $tag 0 0 1 } + } + incr level + set y [expr {$y+$sElemY($k)}] + } +} +foreach {side x} [list 0 0.0 1 $width] { + set tag [expr {2*$level+$side+1}] + node $tag $x $soilThick + puts $nodesInfo "$tag $x $soilThick" + fix $tag 0 0 1 +} +close $nodesInfo + +# Free-field displacement ties; pressures remain independent except drainage. +fix 1 0 1 0 +fix 2 0 1 0 +equalDOF 1 2 1 +for {set level 1} {$level <= $nCells} {incr level} { + equalDOF [expr {2*$level+1}] [expr {2*$level+2}] 1 2 +} + +# Material dimension is 2 (PlaneStrain); remaining parameters match 3D. +set slope [expr {atan($grade/100.0)}] +set g -9.81 +nDMaterial PressureDependMultiYield02 3 2 1.8 9.0e4 2.2e5 32 0.1 \ + 101.0 0.5 26 0.067 0.23 0.06 \ + 0.27 20 5.0 3.0 1.0 \ + 0.0 0.77 0.9 0.02 0.7 101.0 +set xWgt(3) 0.0 +set yWgt(3) [expr $g*cos($slope)] +set uBulk(3) 2.2e6 +set xPerm(3) 1.0e-2 +set yPerm(3) 1.0e-2 +set eVoid(3) 0.77 + +nDMaterial PressureDependMultiYield02 2 2 2.24 9.0e4 2.2e5 32 0.1 \ + 101.0 0.5 26 0.067 0.23 0.06 \ + 0.27 20 5.0 3.0 1.0 \ + 0.0 0.77 0.9 0.02 0.7 101.0 +set xWgt(2) 0.0 +set yWgt(2) [expr $g*cos($slope)] +set uBulk(2) 2.2e6 +set xPerm(2) 1.0e-5 +set yPerm(2) 1.0e-5 +set eVoid(2) 0.77 + +nDMaterial PressureDependMultiYield02 1 2 2.45 1.3e5 2.6e5 39 0.1 \ + 101.0 0.5 26 0.010 0.0 0.35 \ + 0.0 20 5.0 3.0 1.0 \ + 0.0 0.47 0.9 0.02 0.7 101.0 +set xWgt(1) 0.0 +set yWgt(1) [expr $g*cos($slope)] +set uBulk(1) 2.2e6 +set xPerm(1) 1.0e-2 +set yPerm(1) 1.0e-2 +set eVoid(1) 0.47 + + +# One quadrilateral per rectangle: bottom-left, bottom-right, top-right, top-left. +set alpha 1.5e-6 +set cell 0 +set eleTag 0 +set connectivity {} +set elemInfo [open [file join $resultsDir sspquadup_elementInfo.dat] w] +puts $elemInfo "# tag node1 node2 node3 node4 layer cell" +for {set k 1} {$k <= $numLayers} {incr k} { + set firstElement($k) [expr {$eleTag+1}] + for {set j 0} {$j < $nElemY($k)} {incr j} { + set n1 [expr {2*$cell+1}] + set n2 [expr {$n1+1}] + set n3 [expr {$n1+3}] + set n4 [expr {$n1+2}] + incr eleTag + # As in freeField3D_SSPbrickUP.tcl: high permeability during gravity. + # Pass fluid bulk directly; SSPquadUP computes porosity internally. + element SSPquadUP $eleTag $n1 $n2 $n3 $n4 $k $thickness \ + $uBulk($k) 1.0 1.0 1.0 $eVoid($k) $alpha $xWgt($k) $yWgt($k) + lappend connectivity [list $eleTag $n1 $n2 $n3 $n4 $k] + puts $elemInfo "$eleTag $n1 $n2 $n3 $n4 $k [expr {$cell+1}]" + incr cell + } + set lastElement($k) $eleTag +} +close $elemInfo +if {$eleTag != $nSoilElements} { error "Unexpected quadrilateral count" } +puts "SSPquadUP column: $nSoilNodes soil nodes, $nSoilElements quadrilaterals." + +# One horizontal Lysmer dashpot; auxiliary nodes have displacement DOFs only. +model BasicBuilder -ndm 2 -ndf 2 +set dashF [expr {$nSoilNodes+1}] +set dashX [expr {$nSoilNodes+2}] +node $dashF 0.0 0.0 +node $dashX 0.0 0.0 +fix $dashF 1 1 +fix $dashX 0 1 +equalDOF 1 $dashX 1 +set rockVS 700.0 +set rockDen 2.5 +set colArea [expr {$width*$thickness}] +set dashpotCoeff [expr {$rockVS*$rockDen*$colArea}] +uniaxialMaterial Viscous [expr {$numLayers+1}] $dashpotCoeff 1 +element zeroLength [expr {$nSoilElements+1}] $dashF $dashX \ + -mat [expr {$numLayers+1}] -dir 1 +model BasicBuilder -ndm 2 -ndf 3 + +# GiD mesh contains only soil nodes and quadrilaterals. +set meshFile [open [file join $resultsDir sspquadup_freeField2D.flavia.msh] w] +puts $meshFile "MESH ffSSPquadUP dimension 2 ElemType Quadrilateral Nnode 4" +puts $meshFile "Coordinates" +for {set tag 1} {$tag <= $nSoilNodes} {incr tag} { + puts $meshFile "$tag [join [nodeCoord $tag] { }] 0.0" +} +puts $meshFile "End Coordinates" +puts $meshFile "Elements" +foreach entry $connectivity { puts $meshFile [join $entry { }] } +puts $meshFile "End Elements" +close $meshFile + +# Recorder columns: time, followed by node/element tags in ascending order. +# Element stress2D3/strain2D3 have xx, yy, xy (engineering shear strain). +proc recordColumn {prefix recDT} { + global resultsDir nSoilNodes nSoilElements + recorder Node -file [file join $resultsDir ${prefix}displacement.out] \ + -time -dT $recDT -nodeRange 1 $nSoilNodes -dof 1 2 disp + recorder Node -file [file join $resultsDir ${prefix}velocity.out] \ + -time -dT $recDT -nodeRange 1 $nSoilNodes -dof 1 2 vel + recorder Node -file [file join $resultsDir ${prefix}acceleration.out] \ + -time -dT $recDT -nodeRange 1 $nSoilNodes -dof 1 2 accel + recorder Node -file [file join $resultsDir ${prefix}porePressure.out] \ + -time -dT $recDT -nodeRange 1 $nSoilNodes -dof 3 vel + recorder Element -file [file join $resultsDir ${prefix}stress.out] \ + -time -dT $recDT -eleRange 1 $nSoilElements stress2D3 + recorder Element -file [file join $resultsDir ${prefix}strain.out] \ + -time -dT $recDT -eleRange 1 $nSoilElements strain2D3 +} +recordColumn sspquadup_G 0.0 + +# Analysis settings and staged gravity from freeField3D_SSPbrickUP.tcl. +set motionDT 0.005 +set motionSteps 7990 +set duration [expr {$motionDT*$motionSteps}] +# Retain the source model's selected motion timestep, 0.005 s. +set dT $motionDT +set gamma 0.5 +set beta 0.25 +# Rayleigh damping remains disabled, as in freeField3D.tcl. +for {set k 1} {$k <= $numLayers} {incr k} { + updateMaterialStage -material $k -stage 0 +} +constraints Penalty 1.0e14 1.0e14 +test NormDispIncr 1.0e-5 30 1 +algorithm Newton +numberer Plain +system SparseGeneral +integrator Newmark $gamma $beta +analysis Transient +set startT [clock seconds] +set ok [analyze 20 500.0] +if {$ok != 0} { error "Elastic gravity failed at [getTime], code $ok" } +puts "Finished with elastic gravity analysis..." +for {set k 1} {$k <= $numLayers} {incr k} { + updateMaterialStage -material $k -stage 1 +} +set ok [analyze 40 0.05] +if {$ok != 0} { error "Plastic gravity failed at [getTime], code $ok" } +puts "Finished with plastic gravity analysis..." + +# Apply layer permeabilities to the quadrilaterals in each layer. +# SSPquadUP uses hPerm/vPerm; Tri31UP uses xPerm/yPerm. +for {set k 1} {$k <= $numLayers} {incr k} { + setParameter -value $xPerm($k) -eleRange $firstElement($k) $lastElement($k) hPerm + setParameter -value $yPerm($k) -eleRange $firstElement($k) $lastElement($k) vPerm +} +setTime 0.0 +wipeAnalysis +remove recorders +set recDT [expr {10*$motionDT}] +recordColumn sspquadup_ $recDT + +# Same incident-wave velocity record and x-direction force factor as 3D. +set velocityFile [file join $here yerbaNSvelocity.out] +if {![file isfile $velocityFile]} { error "Input motion not found: $velocityFile" } +timeSeries Path 10 -dt $motionDT -filePath $velocityFile -factor $dashpotCoeff +pattern Plain 10 10 { + load 1 1.0 0.0 0.0 +} +constraints Penalty 1.0e14 1.0e14 +test NormDispIncr 1.0e-3 55 1 +algorithm KrylovNewton +numberer Plain +system SparseGeneral +integrator Newmark $gamma $beta +analysis Transient +set ok [analyze $motionSteps $dT] +# Up to two timestep halvings, as in the original; retry only remaining time. +for {set retry 0} {$ok != 0 && $retry < 2} {incr retry} { + set dT [expr {$dT/2.0}] + set remaining [expr {int(ceil(($duration-[getTime])/$dT-1.0e-8))}] + puts "Reducing timestep to $dT at [getTime]; $remaining remaining steps." + set ok [analyze $remaining $dT] +} +if {$ok != 0} { error "SSPquadUP dynamic analysis failed at [getTime], code $ok" } +if {abs([getTime]-$duration) > 1.0e-7} { error "Dynamic analysis ended short of $duration" } +puts "Finished with SSPquadUP dynamic analysis at [getTime] s." +puts "Analysis execution time: [expr {[clock seconds]-$startT}] seconds" +wipe diff --git a/source/user/examples/UWExamples/freeField2D_UPcomparison/freeField2D_Tri31UP.tcl b/source/user/examples/UWExamples/freeField2D_UPcomparison/freeField2D_Tri31UP.tcl new file mode 100644 index 00000000..d77af603 --- /dev/null +++ b/source/user/examples/UWExamples/freeField2D_UPcomparison/freeField2D_Tri31UP.tcl @@ -0,0 +1,255 @@ +# Plane-strain Tri31UP version of freeField3D.tcl. +# Two counterclockwise triangles per original cell (Tri31UP_twoEle_example.tcl). +# Units: kN, m, s. Soil DOFs: ux, uy, integral(p); nodeVel DOF 3 is pressure. +# Same materials, layering, drainage, gravity stages and x input motion as 3D. +# Plane strain omits the original out-of-plane motion and g*sin(slope). +# Thickness=2 m preserves the original 2 m x 2 m base area and x dashpot. +# Original alpha is retained as a starting value, not calibrated for triangles. + +set here [file normalize [file dirname [info script]]] +set resultsDir [file join $here results] +file mkdir $resultsDir +wipe + +# Geometry and mesh (layer 1 is at the bottom). +set soilThick 30.0 +set grade 2.0 +set numLayers 3 +set layerThick(1) 20.0 +set layerThick(2) 8.0 +set layerThick(3) 2.0 +set nElemY(1) 40 +set nElemY(2) 16 +set nElemY(3) 4 +set width 2.0 +set thickness 2.0 +set waterTable 2.0 +set waterHeight [expr {$soilThick-$waterTable}] +set nCells 0 +for {set k 1} {$k <= $numLayers} {incr k} { + set sElemY($k) [expr {$layerThick($k)/$nElemY($k)}] + incr nCells $nElemY($k) +} +set nSoilNodes [expr {2*($nCells+1)}] +set nSoilElements [expr {2*$nCells}] + +# Two nodes at every elevation, numbered left then right, bottom to top. +model BasicBuilder -ndm 2 -ndf 3 +set nodesInfo [open [file join $resultsDir tri31UP_nodesInfo.dat] w] +set level 0 +set y 0.0 +for {set k 1} {$k <= $numLayers} {incr k} { + for {set j 0} {$j < $nElemY($k)} {incr j} { + foreach {side x} [list 0 0.0 1 $width] { + set tag [expr {2*$level+$side+1}] + node $tag $x $y + puts $nodesInfo "$tag $x $y" + if {$y >= $waterHeight-1.0e-10} { fix $tag 0 0 1 } + } + incr level + set y [expr {$y+$sElemY($k)}] + } +} +foreach {side x} [list 0 0.0 1 $width] { + set tag [expr {2*$level+$side+1}] + node $tag $x $soilThick + puts $nodesInfo "$tag $x $soilThick" + fix $tag 0 0 1 +} +close $nodesInfo + +# Free-field displacement ties; pressures remain independent except drainage. +fix 1 0 1 0 +fix 2 0 1 0 +equalDOF 1 2 1 +for {set level 1} {$level <= $nCells} {incr level} { + equalDOF [expr {2*$level+1}] [expr {2*$level+2}] 1 2 +} + +# Material dimension is 2 (PlaneStrain); remaining parameters match 3D. +set slope [expr {atan($grade/100.0)}] +set g -9.81 +nDMaterial PressureDependMultiYield02 3 2 1.8 9.0e4 2.2e5 32 0.1 \ + 101.0 0.5 26 0.067 0.23 0.06 \ + 0.27 20 5.0 3.0 1.0 \ + 0.0 0.77 0.9 0.02 0.7 101.0 +set xWgt(3) 0.0 +set yWgt(3) [expr $g*cos($slope)] +set uBulk(3) 2.2e6 +set xPerm(3) 1.0e-2 +set yPerm(3) 1.0e-2 +set eVoid(3) 0.77 + +nDMaterial PressureDependMultiYield02 2 2 2.24 9.0e4 2.2e5 32 0.1 \ + 101.0 0.5 26 0.067 0.23 0.06 \ + 0.27 20 5.0 3.0 1.0 \ + 0.0 0.77 0.9 0.02 0.7 101.0 +set xWgt(2) 0.0 +set yWgt(2) [expr $g*cos($slope)] +set uBulk(2) 2.2e6 +set xPerm(2) 1.0e-5 +set yPerm(2) 1.0e-5 +set eVoid(2) 0.77 + +nDMaterial PressureDependMultiYield02 1 2 2.45 1.3e5 2.6e5 39 0.1 \ + 101.0 0.5 26 0.010 0.0 0.35 \ + 0.0 20 5.0 3.0 1.0 \ + 0.0 0.47 0.9 0.02 0.7 101.0 +set xWgt(1) 0.0 +set yWgt(1) [expr $g*cos($slope)] +set uBulk(1) 2.2e6 +set xPerm(1) 1.0e-2 +set yPerm(1) 1.0e-2 +set eVoid(1) 0.47 + + +# Two triangles share diagonal bottom-left--top-right in each rectangle. +set alpha 1.5e-6 +set cell 0 +set eleTag 0 +set connectivity {} +set elemInfo [open [file join $resultsDir tri31UP_elementInfo.dat] w] +puts $elemInfo "# tag node1 node2 node3 layer cell" +for {set k 1} {$k <= $numLayers} {incr k} { + set firstElement($k) [expr {$eleTag+1}] + for {set j 0} {$j < $nElemY($k)} {incr j} { + set n1 [expr {2*$cell+1}] + set n2 [expr {$n1+1}] + set n3 [expr {$n1+3}] + set n4 [expr {$n1+2}] + foreach triangle [list [list $n1 $n2 $n3] [list $n1 $n3 $n4]] { + incr eleTag + lassign $triangle a b c + # As in freeField3D.tcl: high permeability during gravity. + # Pass fluid bulk directly; Tri31UP computes porosity internally. + element Tri31UP $eleTag $a $b $c $k $thickness \ + $uBulk($k) 1.0 1.0 1.0 $eVoid($k) $alpha $xWgt($k) $yWgt($k) + lappend connectivity [list $eleTag $a $b $c $k] + puts $elemInfo "$eleTag $a $b $c $k [expr {$cell+1}]" + } + incr cell + } + set lastElement($k) $eleTag +} +close $elemInfo +if {$eleTag != $nSoilElements} { error "Unexpected triangle count" } +puts "Tri31UP column: $nSoilNodes soil nodes, $nSoilElements triangles." + +# One horizontal Lysmer dashpot; auxiliary nodes have displacement DOFs only. +model BasicBuilder -ndm 2 -ndf 2 +set dashF [expr {$nSoilNodes+1}] +set dashX [expr {$nSoilNodes+2}] +node $dashF 0.0 0.0 +node $dashX 0.0 0.0 +fix $dashF 1 1 +fix $dashX 0 1 +equalDOF 1 $dashX 1 +set rockVS 700.0 +set rockDen 2.5 +set colArea [expr {$width*$thickness}] +set dashpotCoeff [expr {$rockVS*$rockDen*$colArea}] +uniaxialMaterial Viscous [expr {$numLayers+1}] $dashpotCoeff 1 +element zeroLength [expr {$nSoilElements+1}] $dashF $dashX \ + -mat [expr {$numLayers+1}] -dir 1 +model BasicBuilder -ndm 2 -ndf 3 + +# GiD mesh contains only soil nodes and triangles. +set meshFile [open [file join $resultsDir tri31UP_freeField2D.flavia.msh] w] +puts $meshFile "MESH ffTri31UP dimension 2 ElemType Triangle Nnode 3" +puts $meshFile "Coordinates" +for {set tag 1} {$tag <= $nSoilNodes} {incr tag} { + puts $meshFile "$tag [join [nodeCoord $tag] { }] 0.0" +} +puts $meshFile "End Coordinates" +puts $meshFile "Elements" +foreach entry $connectivity { puts $meshFile [join $entry { }] } +puts $meshFile "End Elements" +close $meshFile + +# Recorder columns: time, followed by node/element tags in ascending order. +# Element stress2D3/strain2D3 have xx, yy, xy (engineering shear strain). +proc recordColumn {prefix recDT} { + global resultsDir nSoilNodes nSoilElements + recorder Node -file [file join $resultsDir ${prefix}displacement.out] \ + -time -dT $recDT -nodeRange 1 $nSoilNodes -dof 1 2 disp + recorder Node -file [file join $resultsDir ${prefix}velocity.out] \ + -time -dT $recDT -nodeRange 1 $nSoilNodes -dof 1 2 vel + recorder Node -file [file join $resultsDir ${prefix}acceleration.out] \ + -time -dT $recDT -nodeRange 1 $nSoilNodes -dof 1 2 accel + recorder Node -file [file join $resultsDir ${prefix}porePressure.out] \ + -time -dT $recDT -nodeRange 1 $nSoilNodes -dof 3 vel + recorder Element -file [file join $resultsDir ${prefix}stress.out] \ + -time -dT $recDT -eleRange 1 $nSoilElements stress2D3 + recorder Element -file [file join $resultsDir ${prefix}strain.out] \ + -time -dT $recDT -eleRange 1 $nSoilElements strain2D3 +} +recordColumn tri31UP_G 0.0 + +# Analysis settings and staged gravity from freeField3D.tcl. +set motionDT 0.005 +set motionSteps 7990 +set duration [expr {$motionDT*$motionSteps}] +# Retain the source model's selected motion timestep, 0.005 s. +set dT $motionDT +set gamma 0.5 +set beta 0.25 +# Rayleigh damping remains disabled, as in freeField3D.tcl. +for {set k 1} {$k <= $numLayers} {incr k} { + updateMaterialStage -material $k -stage 0 +} +constraints Penalty 1.0e14 1.0e14 +test NormDispIncr 1.0e-5 30 1 +algorithm Newton +numberer Plain +system SparseGeneral +integrator Newmark $gamma $beta +analysis Transient +set startT [clock seconds] +set ok [analyze 20 500.0] +if {$ok != 0} { error "Elastic gravity failed at [getTime], code $ok" } +puts "Finished with elastic gravity analysis..." +for {set k 1} {$k <= $numLayers} {incr k} { + updateMaterialStage -material $k -stage 1 +} +set ok [analyze 40 0.05] +if {$ok != 0} { error "Plastic gravity failed at [getTime], code $ok" } +puts "Finished with plastic gravity analysis..." + +# Apply layer permeabilities to both triangles in every original cell. +for {set k 1} {$k <= $numLayers} {incr k} { + setParameter -value $xPerm($k) -eleRange $firstElement($k) $lastElement($k) xPerm + setParameter -value $yPerm($k) -eleRange $firstElement($k) $lastElement($k) yPerm +} +setTime 0.0 +wipeAnalysis +remove recorders +set recDT [expr {10*$motionDT}] +recordColumn tri31UP_ $recDT + +# Same incident-wave velocity record and x-direction force factor as 3D. +set velocityFile [file join $here yerbaNSvelocity.out] +if {![file isfile $velocityFile]} { error "Input motion not found: $velocityFile" } +timeSeries Path 10 -dt $motionDT -filePath $velocityFile -factor $dashpotCoeff +pattern Plain 10 10 { + load 1 1.0 0.0 0.0 +} +constraints Penalty 1.0e14 1.0e14 +test NormDispIncr 1.0e-3 55 1 +algorithm KrylovNewton +numberer Plain +system SparseGeneral +integrator Newmark $gamma $beta +analysis Transient +set ok [analyze $motionSteps $dT] +# Up to two timestep halvings, as in the original; retry only remaining time. +for {set retry 0} {$ok != 0 && $retry < 2} {incr retry} { + set dT [expr {$dT/2.0}] + set remaining [expr {int(ceil(($duration-[getTime])/$dT-1.0e-8))}] + puts "Reducing timestep to $dT at [getTime]; $remaining remaining steps." + set ok [analyze $remaining $dT] +} +if {$ok != 0} { error "Tri31UP dynamic analysis failed at [getTime], code $ok" } +if {abs([getTime]-$duration) > 1.0e-7} { error "Dynamic analysis ended short of $duration" } +puts "Finished with Tri31UP dynamic analysis at [getTime] s." +puts "Analysis execution time: [expr {[clock seconds]-$startT}] seconds" +wipe diff --git a/source/user/examples/UWExamples/freeField2D_UPcomparison/freeField2D_meshes.py b/source/user/examples/UWExamples/freeField2D_UPcomparison/freeField2D_meshes.py new file mode 100644 index 00000000..ff266f47 --- /dev/null +++ b/source/user/examples/UWExamples/freeField2D_UPcomparison/freeField2D_meshes.py @@ -0,0 +1,121 @@ +"""Plot the exported SSPquadUP and Tri31UP free-field meshes side by side. + +Run: python freeField2D_meshes.py +Reads results/sspquadup_freeField2D.flavia.msh and +results/tri31UP_freeField2D.flavia.msh; writes figures/freeField2D_meshes.png. +""" + +from pathlib import Path +import re + +import matplotlib + +matplotlib.use("Agg") +import matplotlib.pyplot as plt +from matplotlib.collections import LineCollection +from matplotlib.lines import Line2D +from matplotlib.patches import Patch +import numpy as np + + +HERE = Path(__file__).resolve().parent +RESULTS = HERE / "results" +FIGURES = HERE / "figures" +MODELS = ( + ("SSPquadUP", "sspquadup_freeField2D.flavia.msh", "quadrilateral", 4), + ("Tri31UP", "tri31UP_freeField2D.flavia.msh", "triangle", 3), +) +MATERIALS = { + 1: ("tab:blue", "Material 1: 0-20 m"), + 2: ("tab:orange", "Material 2: 20-28 m"), + 3: ("tab:purple", "Material 3: 28-30 m"), +} + + +def read_mesh(path: Path, topology: str, node_count: int): + """Read actual coordinates, connectivity and material tags from GiD.""" + nodes, elements = {}, {} + section = None + header_found = False + for line_number, line in enumerate(path.read_text().splitlines(), 1): + line = line.strip() + if not line or line.startswith("#"): + continue + if line.upper().startswith("MESH "): + header = re.search(r"dimension\s+2\s+ElemType\s+(\w+)\s+Nnode\s+(\d+)", line, re.I) + if header is None or (header[1].lower(), int(header[2])) != (topology, node_count): + raise ValueError(f"{path}:{line_number}: unexpected 2D mesh header") + header_found = True + section = None + elif line.lower() in ("coordinates", "elements"): + section = line.lower() + elif line.lower().startswith("end "): + section = None + elif section == "coordinates": + fields = line.split() + tag = int(fields[0]) + xy = tuple(map(float, fields[1:3])) + if tag in nodes or len(xy) != 2 or not np.isfinite(xy).all(): + raise ValueError(f"{path}:{line_number}: invalid or duplicate node") + nodes[tag] = xy + elif section == "elements": + fields = list(map(int, line.split())) + if len(fields) != node_count + 2 or fields[0] in elements: + raise ValueError(f"{path}:{line_number}: invalid or duplicate element") + elements[fields[0]] = (tuple(fields[1:-1]), fields[-1]) + if not header_found or not nodes or not elements: + raise ValueError(f"{path}: incomplete mesh") + for tag, (connectivity, material) in elements.items(): + if len(set(connectivity)) != node_count or any(node not in nodes for node in connectivity): + raise ValueError(f"{path}: element {tag} has invalid connectivity") + if material not in MATERIALS: + raise ValueError(f"{path}: unsupported material {material}") + xy = np.asarray([nodes[node] for node in connectivity]) + area = 0.5 * np.sum(xy[:, 0] * np.roll(xy[:, 1], -1) - xy[:, 1] * np.roll(xy[:, 0], -1)) + if area <= 0: + raise ValueError(f"{path}: element {tag} has nonpositive area") + return nodes, elements + + +def main() -> None: + meshes = [read_mesh(RESULTS / filename, topology, count) + for _, filename, topology, count in MODELS] + all_xy = np.asarray([xy for nodes, _ in meshes for xy in nodes.values()]) + lower, upper = all_xy.min(axis=0), all_xy.max(axis=0) + figure, axes = plt.subplots(1, 2, figsize=(7, 12), sharex=True, sharey=True, + constrained_layout=True) + for axis, (label, _, _, _), (nodes, elements) in zip(axes, MODELS, meshes): + for material, (color, _) in MATERIALS.items(): + edges = set() + for connectivity, layer in elements.values(): + if layer == material: + for a, b in zip(connectivity, connectivity[1:] + connectivity[:1]): + edges.add(tuple(sorted((a, b)))) + if edges: + segments = [(nodes[a], nodes[b]) for a, b in sorted(edges)] + axis.add_collection(LineCollection(segments, colors=color, linewidths=0.9)) + xy = np.asarray(list(nodes.values())) + axis.scatter(xy[:, 0], xy[:, 1], s=6, color="tab:red", zorder=3) + axis.set_title(f"{label}\n{len(elements)} elements, {len(nodes)} nodes") + axis.set_xlabel("x [m]") + axis.set_xlim(lower[0] - 0.25, upper[0] + 0.25) + axis.set_ylim(lower[1] - 0.5, upper[1] + 0.5) + axis.set_xticks((lower[0], upper[0])) + axis.set_yticks(np.arange(lower[1], upper[1] + 0.1, 5.0)) + axis.set_aspect("equal", adjustable="box") + print(f"{label}: {len(elements)} elements, {len(nodes)} three-DOF nodes") + axes[0].set_ylabel("Elevation y [m]") + handles = [Patch(facecolor=color, label=label) for color, label in MATERIALS.values()] + handles.append(Line2D([], [], color="tab:red", marker="o", linestyle="none", + markersize=4, label="Node: $u_x,u_y,p$")) + figure.legend(handles=handles, loc="outside lower center", ncol=2, fontsize=9) + figure.suptitle("2D plane-strain free-field meshes (true geometric aspect ratio)") + FIGURES.mkdir(parents=True, exist_ok=True) + output = FIGURES / "freeField2D_meshes.png" + figure.savefig(output, dpi=220) + plt.close(figure) + print(f"Wrote {output}") + + +if __name__ == "__main__": + main() diff --git a/source/user/examples/UWExamples/freeField2D_UPcomparison/freeField2D_schematic.py b/source/user/examples/UWExamples/freeField2D_UPcomparison/freeField2D_schematic.py new file mode 100644 index 00000000..6ac02b3c --- /dev/null +++ b/source/user/examples/UWExamples/freeField2D_UPcomparison/freeField2D_schematic.py @@ -0,0 +1,131 @@ +"""Draw the layered 2D free-field problem and history-comparison locations. + +Run: python freeField2D_schematic.py +Writes PNG, SVG and PDF versions into figures/. +""" + +from pathlib import Path + +import matplotlib + +matplotlib.use("Agg") +import matplotlib.pyplot as plt +from matplotlib.patches import Polygon, Rectangle + + +HERE = Path(__file__).resolve().parent +FIGURES = HERE / "figures" +INK = "#19324A" +MUTED = "#53677B" +WATER = "#008CA8" +LAYERS = ( + (1, 0, 20, "#C9DFEF", "#3D759E"), + (2, 20, 28, "#F5D8AA", "#AA7030"), + (3, 28, 30, "#DED5EE", "#7E629F"), +) + + +def dimension(axis, x, lower, upper, label, *, overall=False): + color = INK if overall else MUTED + axis.annotate("", (x, upper), (x, lower), + arrowprops=dict(arrowstyle="<->", color=color, lw=1.1, + shrinkA=0, shrinkB=0)) + for y in (lower, upper): + axis.plot([x - 0.15, -0.15], [y, y], color=color, lw=0.55, alpha=0.5) + axis.text(x - 0.22, (lower + upper) / 2, label, color=color, + fontsize=12 if overall else 10, rotation=90 if overall else 0, + ha="right", va="center") + + +def main() -> None: + plt.rcParams.update({"font.family": "DejaVu Sans", "font.size": 11, + "svg.fonttype": "none"}) + figure = plt.figure(figsize=(11, 10), facecolor="white") + figure.text(0.075, 0.95, "2D FREE-FIELD SOIL COLUMN", fontsize=22, + fontweight="bold", color=INK) + figure.text(0.075, 0.913, "Plane strain / SSPquadUP or Tri31UP / out-of-plane thickness: 2 m", + fontsize=11, color=MUTED) + axis = figure.add_axes((0.075, 0.12, 0.87, 0.76)) + axis.set_xlim(-5, 12) + axis.set_ylim(-6, 35) + axis.axis("off") + # The displayed width is exaggerated for readability; dimensions are actual. + left, right = 0.0, 2.8 + for layer, bottom, top, fill, accent in LAYERS: + axis.add_patch(Rectangle((left, bottom), right, top - bottom, + facecolor=fill, edgecolor="none")) + axis.text((left + right) / 2, (bottom + top) / 2, f"LAYER {layer}", + color=accent, fontsize=12 if layer != 3 else 10, + fontweight="bold", ha="center", va="center") + axis.add_patch(Rectangle((left, 0), right, 30, fill=False, edgecolor=INK, lw=1.6)) + axis.plot([left, right], [20, 20], color=INK, lw=1.0) + # Elastic half-space below the column; not an extra soil layer. + axis.add_patch(Rectangle((-0.2, -1.1), right + 0.4, 1.1, + facecolor="#E6EBF0", edgecolor="#98A8B6", hatch="///", lw=0.5)) + axis.plot([left, right], [0, 0], color=INK, lw=2) + + dimension(axis, -3.0, 0, 30, "30 m", overall=True) + for _, bottom, top, _, _ in LAYERS: + dimension(axis, -0.9, bottom, top, f"{top-bottom} m") + axis.annotate("", (left, 33), (right, 33), + arrowprops=dict(arrowstyle="<->", color=INK, lw=1.1, shrinkA=0, shrinkB=0)) + for x in (left, right): + axis.plot([x, x], [30.5, 33.5], color=MUTED, lw=0.6) + axis.text((left + right) / 2, 33.5, "2 m width", ha="center", color=INK, fontsize=11) + + # Water table coincides with the layer 2 / layer 3 interface. + axis.plot([-0.25, 5.0], [28, 28], color=WATER, lw=1.8, dashes=(5, 3)) + axis.add_patch(Polygon(((4.55, 28.5), (4.95, 28.5), (4.75, 28)), + closed=True, facecolor=WATER, edgecolor=WATER)) + axis.plot([4.9, 5.7], [28, 28], color=WATER, lw=1.0) + axis.text(6.0, 28.0, "WATER TABLE", fontsize=11, color=WATER, + va="center", fontweight="bold") + axis.text(6.0, 26.7, "y = 28 m · 2 m below surface", fontsize=10, color=MUTED) + + # These are representative elevations: each history averages both end nodes. + for name, y, text_y, title, nodes in ( + ("P1", 15, 15, "Mid-column", "61 and 62"), + ("P2", 30, 31.3, "Ground surface", "121 and 122"), + ): + axis.plot([left, right], [y, y], color=INK, lw=1.1, dashes=(3, 3)) + axis.scatter([left, right], [y, y], s=52, facecolor="white", + edgecolor=INK, linewidth=1.6, zorder=5) + axis.scatter([(left + right) / 2], [y], s=46, color=INK, marker="D", zorder=5) + axis.plot([right + 0.12, 5.3, 5.7], [y, text_y, text_y], color=INK, lw=1.0) + axis.text(6.0, text_y, f"{name} {title}", fontsize=12, color=INK, + fontweight="bold", va="center") + axis.text(6.0, text_y - 1.3, f"y = {y} m · average of nodes {nodes}", + fontsize=9.5, color=MUTED) + + # A horizontal incident-wave load and the absorbing boundary act at the base. + axis.annotate("", (right - 0.15, -2.4), (left + 0.15, -2.4), + arrowprops=dict(arrowstyle="<->", color="#BE593C", lw=2.4)) + axis.annotate("", (left, 0), (left, -2.4), + arrowprops=dict(arrowstyle="-", color="#BE593C", lw=1.1)) + axis.text(6.0, -0.8, "HORIZONTAL MOTION INPUT", fontsize=11, + color="#BE593C", fontweight="bold") + axis.text(6.0, -2.15, r"At the base: $F_x(t)=c\,v_{in}(t)$", color=MUTED, fontsize=10) + axis.plot([right + 0.15, 5.5], [-2.4, -2.4], color="#BE593C", lw=1.0) + axis.text((left + right) / 2, -4.0, "Elastic half-space\nHorizontal Lysmer dashpot", + ha="center", va="center", color=MUTED, fontsize=10, linespacing=1.5) + axis.annotate("", (10.0, 4.1), (10.0, 1.1), + arrowprops=dict(arrowstyle="->", color=MUTED, lw=1.1)) + axis.annotate("", (11.4, 1.1), (10.0, 1.1), + arrowprops=dict(arrowstyle="->", color=MUTED, lw=1.1)) + axis.text(9.7, 4.3, "y", color=MUTED, fontsize=10) + axis.text(11.5, 0.9, "x", color=MUTED, fontsize=10) + + figure.text(0.075, 0.075, "Comparison histories: horizontal displacement, vertical displacement and pore pressure.", + fontsize=10, color=INK) + figure.text(0.075, 0.05, "Diamonds mark comparison elevations; circles mark the two averaged nodes. Width exaggerated for clarity.", + fontsize=9, color=MUTED) + FIGURES.mkdir(parents=True, exist_ok=True) + for suffix in ("png", "svg", "pdf"): + output = FIGURES / f"freeField2D_schematic.{suffix}" + figure.savefig(output, dpi=240, facecolor="white") + print(f"Wrote {output}") + plt.close(figure) + + +if __name__ == "__main__": + main() diff --git a/source/user/examples/UWExamples/freeField2D_UPcomparison/freefield_plot_utils.py b/source/user/examples/UWExamples/freeField2D_UPcomparison/freefield_plot_utils.py new file mode 100644 index 00000000..b763a200 --- /dev/null +++ b/source/user/examples/UWExamples/freeField2D_UPcomparison/freefield_plot_utils.py @@ -0,0 +1,105 @@ +"""Shared result readers and formatting for the 2D and 3D plotting scripts.""" + +from pathlib import Path + +import matplotlib + +matplotlib.use("Agg") +import matplotlib.pyplot as plt +import numpy as np + + +RESULTS = Path(__file__).resolve().parent / "results" +N_CELLS = 60 +N_LEVELS = N_CELLS + 1 +N_CORNERS_PER_LEVEL = 4 +N_CORNER_NODES = N_CORNERS_PER_LEVEL * N_LEVELS +N_PRESSURE_NODES = N_CORNER_NODES +N_C3D10_NODES = 1089 +N_TETS_PER_CELL = 6 +LEVELS = {"Mid-column (y = 15 m)": 30, "Top (y = 30 m)": 60} +ELEVATION_NODES = np.linspace(0.0, 30.0, N_LEVELS) +ELEVATION_CELLS = 0.5 * (ELEVATION_NODES[:-1] + ELEVATION_NODES[1:]) + + +def load_complete_rows(path: Path, expected_columns: int) -> np.ndarray: + """Read complete numeric rows, tolerating a result still being written.""" + if not path.is_file(): + raise FileNotFoundError(f"Required dynamic result not found: {path}") + rows = [] + with path.open("r", encoding="utf-8", errors="replace") as stream: + for line_number, line in enumerate(stream, 1): + fields = line.split() + if len(fields) != expected_columns: + if line_number == 1: + raise ValueError(f"{path.name}: expected {expected_columns} columns, " + f"found {len(fields)} in its first row") + continue + try: + rows.append(np.asarray(fields, dtype=float)) + except ValueError: + continue + if not rows: + raise ValueError(f"No complete rows are available in {path}") + return np.vstack(rows) + + +def corner_average(history: np.ndarray, values_per_node: int, level: int) -> np.ndarray: + first = 1 + values_per_node * N_CORNERS_PER_LEVEL * level + last = first + values_per_node * N_CORNERS_PER_LEVEL + return history[:, first:last].reshape(len(history), N_CORNERS_PER_LEVEL, values_per_node).mean(axis=1) + + +def common_histories(*histories: np.ndarray): + common_times = np.round(histories[0][:, 0], 9) + for history in histories[1:]: + common_times = np.intersect1d(common_times, np.round(history[:, 0], 9)) + if common_times.size == 0: + raise ValueError("The histories currently have no common recorded times") + aligned = [] + for history in histories: + lookup = {round(time, 9): index for index, time in enumerate(history[:, 0])} + rows = np.asarray([lookup[float(time)] for time in common_times]) + aligned.append(history[rows]) + return common_times, *aligned + + +def final_row(name: str, expected_columns: int) -> np.ndarray: + path = RESULTS / name + if not path.is_file(): + raise FileNotFoundError(f"Required gravity result not found: {path}") + data = np.loadtxt(path, ndmin=2) + if data.shape[1] != expected_columns: + raise ValueError(f"{path.name}: expected {expected_columns} columns, found {data.shape[1]}") + return data[-1] + + +def displacement_profile(name: str, node_count: int): + history = final_row(name, 1 + 3 * node_count) + corners = history[1:1 + 3 * N_CORNER_NODES] + return history[0], corners.reshape(N_LEVELS, N_CORNERS_PER_LEVEL, 3).mean(axis=1) + + +def pore_pressure_profile(name: str): + history = final_row(name, 1 + N_CORNER_NODES) + return history[0], history[1:].reshape(N_LEVELS, N_CORNERS_PER_LEVEL).mean(axis=1) + + +def element_profile(name: str, values_per_element: int, elements_per_cell: int): + history = final_row(name, 1 + N_CELLS * elements_per_cell * values_per_element) + values = history[1:].reshape(N_CELLS, elements_per_cell, values_per_element).mean(axis=1) + return history[0], values + + +def style_axis(axis, xlabel: str): + axis.set_xlabel(xlabel) + axis.set_ylabel("Elevation y [m]") + axis.grid(alpha=0.3) + + +def profile_limits(*profiles: np.ndarray) -> tuple[float, float]: + """Use all models/components, include zero, and add 5% padding.""" + lower = min(0.0, *(float(np.min(values)) for values in profiles)) + upper = max(0.0, *(float(np.max(values)) for values in profiles)) + padding = 0.05 * (upper - lower) if upper > lower else 1.0e-12 + return lower - padding, upper + padding diff --git a/source/user/examples/UWExamples/freeField2D_UPcomparison/index.rst b/source/user/examples/UWExamples/freeField2D_UPcomparison/index.rst new file mode 100644 index 00000000..fa490977 --- /dev/null +++ b/source/user/examples/UWExamples/freeField2D_UPcomparison/index.rst @@ -0,0 +1,36 @@ +Two-dimensional free-field element comparison +============================================= + +This example compares the gravity and dynamic plane-strain free-field +response of a soil column using :ref:`SSPquadUP` and :ref:`Tri31UP`. +Dynamic displacement and pore-water pressure histories are compared +at mid-column and at the ground surface. + +.. figure:: figures/freeField2D_schematic.png + :alt: Layered two-dimensional free-field soil column with a water table, base motion input, and response comparison locations. + :width: 800px + :align: center + + Soil column used for the two-dimensional free-field response comparison. + +Tcl model files +--------------- + +* :download:`SSPquadUP ` +* :download:`Tri31UP ` + +Input velocity record used by both Tcl models: +:download:`yerbaNSvelocity.out `. +Save this file in the same directory as the Tcl model files. + +Python scripts +-------------- + +* :download:`Gravity-response comparison ` +* :download:`Dynamic-history comparison ` +* :download:`Shared plotting utility ` +* :download:`Column schematic ` +* :download:`Mesh comparison ` + +Keep the Python scripts together beside the ``results`` directory generated +by the Tcl models. The plotting scripts require NumPy and Matplotlib. diff --git a/source/user/examples/UWExamples/freeField2D_UPcomparison/plot_dynamic_history_comparison_2D.py b/source/user/examples/UWExamples/freeField2D_UPcomparison/plot_dynamic_history_comparison_2D.py new file mode 100644 index 00000000..4b02389f --- /dev/null +++ b/source/user/examples/UWExamples/freeField2D_UPcomparison/plot_dynamic_history_comparison_2D.py @@ -0,0 +1,77 @@ +"""Compare SSPquadUP and Tri31UP plane-strain dynamic histories. + +Run: python plot_dynamic_history_comparison_2D.py +Reads results/sspquadup_*.out and results/tri31UP_*.out. +Writes displacement and pore-pressure comparison plots into figures/. +Profiles average the left and right nodes at y=15 m and y=30 m. +""" + +from pathlib import Path + +from freefield_plot_utils import ( + LEVELS, N_LEVELS, RESULTS, common_histories, load_complete_rows, np, plt, +) + + +HERE = Path(__file__).resolve().parent +FIGURES = HERE / "figures" +FIGURES.mkdir(parents=True, exist_ok=True) +NODES_PER_LEVEL = 2 +N_NODES = NODES_PER_LEVEL * N_LEVELS +MODELS = ( + ("SSPquadUP", "sspquadup_", "tab:blue", "-"), + ("Tri31UP", "tri31UP_", "tab:red", "--"), +) + + +def level_average(history: np.ndarray, components: int, level: int) -> np.ndarray: + """Average both nodes' recorded components at one elevation.""" + start = 1 + level * NODES_PER_LEVEL * components + stop = start + NODES_PER_LEVEL * components + return history[:, start:stop].reshape(len(history), NODES_PER_LEVEL, components).mean(axis=1) + + +def plot_histories(histories: list[np.ndarray], pressure: bool) -> Path: + times, *aligned = common_histories(*histories) + components = 1 if pressure else 2 + labels = ("$p$ [kPa]",) if pressure else ("$u_x$ [m]", "$u_y$ [m]") + figure, axes = plt.subplots( + len(LEVELS), components, figsize=(11, 8) if pressure else (13, 9), + sharex=True, squeeze=False, constrained_layout=True, + ) + for row, (location, level) in enumerate(LEVELS.items()): + for model, history in zip(MODELS, aligned): + label, _, color, linestyle = model + values = level_average(history, components, level) + for component, axis in enumerate(axes[row]): + axis.plot(times, values[:, component], color=color, + linestyle=linestyle, lw=1.6, label=label) + for component, axis in enumerate(axes[row]): + axis.set_ylabel(f"{location}\n{labels[component]}") + axis.grid(alpha=0.3) + if row == len(LEVELS) - 1: + axis.set_xlabel("Time [s]") + axes[0, 0].legend(loc="best") + quantity = "pore_pressure" if pressure else "displacement" + figure.suptitle(f"2D free-field {quantity.replace('_', ' ')} histories: SSPquadUP vs Tri31UP") + output = FIGURES / f"dynamic_{quantity}_history_comparison_2D.png" + figure.savefig(output, dpi=200) + plt.close(figure) + print(f"{quantity}: {len(times)} shared recorded times through t={times[-1]:g} s") + return output + + +def main() -> None: + displacements, pressures = [], [] + for label, prefix, _, _ in MODELS: + displacement = load_complete_rows(RESULTS / f"{prefix}displacement.out", 1 + 2 * N_NODES) + pressure = load_complete_rows(RESULTS / f"{prefix}porePressure.out", 1 + N_NODES) + displacements.append(displacement) + pressures.append(pressure) + print(f"{label}: {len(displacement)} displacement rows, {len(pressure)} pressure rows") + for output in (plot_histories(displacements, False), plot_histories(pressures, True)): + print(f"Wrote {output}") + + +if __name__ == "__main__": + main() diff --git a/source/user/examples/UWExamples/freeField2D_UPcomparison/plot_gravity_results_comparison_2D.py b/source/user/examples/UWExamples/freeField2D_UPcomparison/plot_gravity_results_comparison_2D.py new file mode 100644 index 00000000..36e1ef43 --- /dev/null +++ b/source/user/examples/UWExamples/freeField2D_UPcomparison/plot_gravity_results_comparison_2D.py @@ -0,0 +1,92 @@ +"""Compare final SSPquadUP and Tri31UP plane-strain gravity results. + +Run: python plot_gravity_results_comparison_2D.py +Reads results/sspquadup_G*.out and results/tri31UP_G*.out. +Writes figures/gravity_*_comparison_2D.png. +Average two nodes per elevation and two equal-area triangles per original cell. +""" + +from pathlib import Path + +from freefield_plot_utils import ( + ELEVATION_CELLS, ELEVATION_NODES, N_CELLS, element_profile, final_row, + np, plt, profile_limits, style_axis, +) + + +HERE = Path(__file__).resolve().parent +FIGURES = HERE / "figures" +FIGURES.mkdir(parents=True, exist_ok=True) +MODELS = ( + ("SSPquadUP", "sspquadup_", 1, "tab:blue", "-"), + ("Tri31UP", "tri31UP_", 2, "tab:red", "--"), +) + + +def nodal_profile(name: str, components: int) -> tuple[float, np.ndarray]: + """Average the left and right nodes at each original elevation.""" + history = final_row(name, 1 + 2 * (N_CELLS + 1) * components) + values = history[1:].reshape(N_CELLS + 1, 2, components).mean(axis=1) + return history[0], values + + +def plot_profiles(profiles: list[np.ndarray], quantity: str, + labels: tuple[str, ...], nodal: bool) -> Path: + shared_scale = quantity in ("displacement", "pore_pressure", "stress") + limits = profile_limits(*profiles) if shared_scale else None + count = len(labels) + figure, axes = plt.subplots( + 1, count, figsize=(7, 8) if count == 1 else (5 * count, 7), + sharex=shared_scale, sharey=True, squeeze=False, constrained_layout=True, + ) + elevations = ELEVATION_NODES if nodal else ELEVATION_CELLS + for component, axis in enumerate(axes.flat): + for model, values in zip(MODELS, profiles): + label, _, _, color, linestyle = model + axis.plot(values[:, component], elevations, color=color, + linestyle=linestyle, lw=2, label=label) + style_axis(axis, labels[component]) + if limits is not None: + axis.set_xlim(limits) + for interface in (20.0, 28.0): + axis.axhline(interface, color="0.6", ls=":", lw=0.8) + axes.flat[0].legend(loc="best") + figure.suptitle(f"Final 2D gravity {quantity.replace('_', ' ')}: SSPquadUP vs Tri31UP") + output = FIGURES / f"gravity_{quantity}_comparison_2D.png" + figure.savefig(output, dpi=220) + plt.close(figure) + return output + + +def main() -> None: + displacements, pressures, stresses, strains = [], [], [], [] + for label, prefix, elements_per_cell, _, _ in MODELS: + dt, displacement = nodal_profile(f"{prefix}Gdisplacement.out", 2) + pt, pressure = nodal_profile(f"{prefix}GporePressure.out", 1) + st, stress = element_profile(f"{prefix}Gstress.out", 3, elements_per_cell) + et, strain = element_profile(f"{prefix}Gstrain.out", 3, elements_per_cell) + displacements.append(displacement) + pressures.append(pressure) + stresses.append(stress) + strains.append(strain) + print(f"{label}: final displacement/pressure/stress/strain times = {dt:g}/{pt:g}/{st:g}/{et:g}") + outputs = [ + plot_profiles(displacements, "displacement", ("$u_x$ [m]", "$u_y$ [m]"), True), + plot_profiles(pressures, "pore_pressure", ("$p$ [kPa]",), True), + plot_profiles(stresses, "stress", + (r"$\sigma_{xx}$ [kPa]", r"$\sigma_{yy}$ [kPa]", r"$\tau_{xy}$ [kPa]"), False), + plot_profiles(strains, "strain", + (r"$\epsilon_{xx}$", r"$\epsilon_{yy}$", r"$\gamma_{xy}$"), False), + ] + for quantity, profiles, units in ( + ("displacement", displacements, "m"), ("pore pressure", pressures, "kPa"), + ("stress", stresses, "kPa"), ("strain", strains, ""), + ): + difference = np.max(np.abs(profiles[1] - profiles[0])) + print(f"Maximum {quantity} difference (Tri31UP vs SSPquadUP): {difference:.6e} {units}".rstrip()) + for output in outputs: + print(f"Wrote {output}") + + +if __name__ == "__main__": + main() diff --git a/source/user/examples/UWExamples/freeField2D_UPcomparison/yerbaNSvelocity.out b/source/user/examples/UWExamples/freeField2D_UPcomparison/yerbaNSvelocity.out new file mode 100644 index 00000000..e1209541 --- /dev/null +++ b/source/user/examples/UWExamples/freeField2D_UPcomparison/yerbaNSvelocity.out @@ -0,0 +1,7990 @@ + 0.0000000e+000 + 1.8137186e-004 + 3.3846731e-004 + 3.9773823e-004 + 4.0427321e-004 + 4.1893860e-004 + 4.3290092e-004 + 4.4634178e-004 + 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