From 5239c3ad13c331389eb95df6ddebd7ae6a50baf1 Mon Sep 17 00:00:00 2001 From: anne-glerum Date: Thu, 1 Aug 2024 16:49:16 +0200 Subject: [PATCH 1/2] Add benchmark prm --- .../diffusion_of_hill/1_sine_zero_flux_ci.prm | 162 ++ source/simulator/helper_functions.cc | 8 + ...ll_diffusion_field_boundary_conditions.prm | 98 + .../screen-output | 63 + .../solution/solution-00000.0000.gnuplot | 1799 +++++++++++++++++ .../solution/solution-00001.0000.gnuplot | 1799 +++++++++++++++++ .../solution/solution-00002.0000.gnuplot | 1799 +++++++++++++++++ .../statistics | 22 + 8 files changed, 5750 insertions(+) create mode 100644 benchmarks/diffusion_of_hill/1_sine_zero_flux_ci.prm create mode 100644 tests/hill_diffusion_field_boundary_conditions.prm create mode 100644 tests/hill_diffusion_field_boundary_conditions/screen-output create mode 100644 tests/hill_diffusion_field_boundary_conditions/solution/solution-00000.0000.gnuplot create mode 100644 tests/hill_diffusion_field_boundary_conditions/solution/solution-00001.0000.gnuplot create mode 100644 tests/hill_diffusion_field_boundary_conditions/solution/solution-00002.0000.gnuplot create mode 100644 tests/hill_diffusion_field_boundary_conditions/statistics diff --git a/benchmarks/diffusion_of_hill/1_sine_zero_flux_ci.prm b/benchmarks/diffusion_of_hill/1_sine_zero_flux_ci.prm new file mode 100644 index 00000000000..7c40b7f5291 --- /dev/null +++ b/benchmarks/diffusion_of_hill/1_sine_zero_flux_ci.prm @@ -0,0 +1,162 @@ +set Additional shared libraries = libanalytical_topography.so +set Dimension = 2 +set Use years in output instead of seconds = false +set End time = 0.005 +set Maximum time step = 0.0005 +set Output directory = output-1_sine_zero_flux_ci_toppresvel_subtractmeshvel/ +set Nonlinear solver scheme = single Advection, single Stokes +set Pressure normalization = surface +set Surface pressure = 0 + +# 1x1 box with an initial hill topography +subsection Geometry model + set Model name = box + + subsection Box + set X extent = 1 + set Y extent = 1 + end + + subsection Initial topography model + set Model name = function + + subsection Function + set Function constants = A=0.150, L=1. + set Function expression = \ + if(x<0.5,A * sin((x+0.5)*pi),0) + end + end +end + +# Temperature effects are ignored +subsection Initial temperature model + set Model name = function + + subsection Function + set Function expression = 0 + end +end + +subsection Boundary temperature model + set Fixed temperature boundary indicators = bottom, top + set List of model names = initial temperature +end + +subsection Compositional fields + set Number of fields = 3 + set Names of fields = layer_1, layer_2, layer_3 +end + +subsection Initial composition model + set Model name = function + + subsection Function + set Variable names = x,z + set Coordinate system = cartesian #depth + #set Function expression = if(x<.05, 1, 0); if(x>=0.05 && x<0.1, 1, 0); 0 + set Function expression = if(z>1.07, 1, 0); 0; 0 + end +end + +subsection Boundary composition model + set Fixed composition boundary indicators = top + set Allow fixed composition on outflow boundaries = false + set List of model names = function + subsection Function + set Variable names = x,z,t + set Function expression = if(t==0,1,0); 0; if(t==0,0,1) + end +end + +# Free slip on all boundaries +subsection Boundary velocity model + set Tangential velocity boundary indicators = left, right, bottom + set Prescribed velocity boundary indicators = top: function + subsection Function + set Variable names = x,z,t + set Function expression = 0;0 + end +end + +# The mesh will be deformed according to the displacement +# of the surface nodes due to diffusion of the topography. +# The mesh is allowed to move vertical along the left and +# right boundary. +subsection Mesh deformation + set Mesh deformation boundary indicators = top: diffusion + set Additional tangential mesh velocity boundary indicators = left, right + + subsection Diffusion + # The diffusivity + set Hillslope transport coefficient = 0.25 + end +end + +# Vertical gravity +subsection Gravity model + set Model name = vertical + + subsection Vertical + set Magnitude = 0 + end +end + +# One material with unity properties +subsection Material model + set Model name = simple + + subsection Simple model + set Reference density = 1 + set Reference specific heat = 1 + set Reference temperature = 0 + set Thermal conductivity = 1 + set Thermal expansion coefficient = 1 + set Viscosity = 1 + end +end + +# We also have to specify that we want to use the Boussinesq +# approximation (assuming the density in the temperature +# equation to be constant, and incompressibility). +subsection Formulation + set Formulation = Boussinesq approximation +end + +# We here use a globally refined mesh without +# adaptive mesh refinement. +subsection Mesh refinement + set Initial global refinement = 6 + set Initial adaptive refinement = 0 + set Time steps between mesh refinement = 0 + set Strategy = minimum refinement function + subsection Minimum refinement function + set Variable names = x,z + set Coordinate system = cartesian + set Function expression = if(z>0.87,7,3) + end +end + +# We output the computed topography and the analytical topography +# value to file. +subsection Postprocess + set List of postprocessors = velocity statistics, temperature statistics, heat flux statistics, visualization #, analytical topography + + subsection Topography + set Output to file = true + set Analytical solution of example = 1 + set Diffusivity = 0.25 + set Initial sinusoidal topography amplitude = 0.075 + end + + subsection Visualization + set Time between graphical output = 0.0001 + set Output mesh velocity = true + set Interpolate output = false + end +end + +subsection Solver parameters + subsection Stokes solver parameters + set Linear solver tolerance = 1e-7 + end +end diff --git a/source/simulator/helper_functions.cc b/source/simulator/helper_functions.cc index 6bd4a311d4d..bbd63f18b31 100644 --- a/source/simulator/helper_functions.cc +++ b/source/simulator/helper_functions.cc @@ -2306,6 +2306,7 @@ namespace aspect update_quadrature_points | update_JxW_values); std::vector> face_current_velocity_values (fe_face_values.n_quadrature_points); + std::vector> face_current_mesh_velocity_values (fe_face_values.n_quadrature_points); const auto &tangential_velocity_boundaries = boundary_velocity_manager.get_tangential_boundary_velocity_indicators(); @@ -2335,6 +2336,10 @@ namespace aspect fe_face_values.reinit (cell, face_number); fe_face_values[introspection.extractors.velocities].get_function_values(current_linearization_point, face_current_velocity_values); + // get the mesh velocity, as we need to subtract it off of the advection systems + if (parameters.mesh_deformation_enabled) + fe_face_values[introspection.extractors.velocities].get_function_values(mesh_deformation->mesh_velocity, + face_current_mesh_velocity_values); // ... check if the face is an outflow boundary by integrating the normal velocities // (flux through the boundary) as: int u*n ds = Sum_q u(x_q)*n(x_q) JxW(x_q)... @@ -2349,6 +2354,9 @@ namespace aspect boundary_velocity = boundary_velocity_manager.boundary_velocity(face->boundary_id(), fe_face_values.quadrature_point(q)); + if (parameters.mesh_deformation_enabled) + boundary_velocity -= face_current_mesh_velocity_values[q]; + integrated_flow += (boundary_velocity * fe_face_values.normal_vector(q)) * fe_face_values.JxW(q); } diff --git a/tests/hill_diffusion_field_boundary_conditions.prm b/tests/hill_diffusion_field_boundary_conditions.prm new file mode 100644 index 00000000000..dce68418ca5 --- /dev/null +++ b/tests/hill_diffusion_field_boundary_conditions.prm @@ -0,0 +1,98 @@ +# This setup tests the compositional field boundary conditions +# along a deforming boundary. To determine whether a part of the +# boundary experiences in- or outflow, the mesh velocity is +# subtracted from the material velocity. In this test, the +# prescribed material velocity is zero, and only the erosion +# or deposition (decrease or increase in height) by the diffusion +# applied to the surface topography determines whether boundary +# conditions should be applied (inflow/deposition), +# or not (outflow/erosion). + +include $ASPECT_SOURCE_DIR/tests/hill_diffusion.prm + +set Dimension = 2 +set Nonlinear solver scheme = single Advection, single Stokes + +# 1x1 box with an initial hill topography +subsection Geometry model + set Model name = box + + subsection Box + set X extent = 1 + set Y extent = 1 + end + + subsection Initial topography model + set Model name = function + + subsection Function + set Function constants = A=0.150, L=1. + set Function expression = \ + if(x<0.5,A * sin((x+0.5)*pi),0) + end + end +end + +# We here use a globally refined mesh without +# adaptive mesh refinement. +subsection Mesh refinement + set Initial global refinement = 4 +end + +subsection Compositional fields + set Number of fields = 3 + set Names of fields = layer_1, layer_2, layer_3 +end + +subsection Initial composition model + set Model name = function + + subsection Function + set Variable names = x,z + set Coordinate system = cartesian #depth + #set Function expression = if(x<.05, 1, 0); if(x>=0.05 && x<0.1, 1, 0); 0 + set Function expression = if(z>1.07, 1, 0); 0; 0 + end +end + +subsection Boundary composition model + set Fixed composition boundary indicators = top + set Allow fixed composition on outflow boundaries = false + set List of model names = function + subsection Function + set Variable names = x,z,t + set Function expression = if(t==0,1,0); 0; if(t==0,0,1) + end +end + +# Free slip on all boundaries except the top boundary. +subsection Boundary velocity model + set Tangential velocity boundary indicators = left, right, bottom + set Prescribed velocity boundary indicators = top: function + subsection Function + set Variable names = x,z,t + set Function expression = 0;0 + end +end + +# Vertical gravity +subsection Gravity model + set Model name = vertical + + subsection Vertical + set Magnitude = 0 + end +end + +# We output the computed topography +# value to file. +subsection Postprocess + set List of postprocessors = velocity statistics, topography, visualization + + subsection Visualization + set Time between graphical output = 0.0001 + set Output mesh velocity = true + set Interpolate output = false + set Output format = gnuplot + end +end diff --git a/tests/hill_diffusion_field_boundary_conditions/screen-output b/tests/hill_diffusion_field_boundary_conditions/screen-output new file mode 100644 index 00000000000..08d0f9ecf41 --- /dev/null +++ b/tests/hill_diffusion_field_boundary_conditions/screen-output @@ -0,0 +1,63 @@ +----------------------------------------------------------------------------- +----------------------------------------------------------------------------- +----------------------------------------------------------------------------- + +----------------------------------------------------------------------------- +----------------------------------------------------------------------------- +Number of active cells: 256 (on 5 levels) +Number of degrees of freedom: 6,823 (2,178+289+1,089+1,089+1,089+1,089) + +Number of mesh deformation degrees of freedom: 578 + Solving mesh displacement system... 0 iterations. + Added initial topography to grid + +*** Timestep 0: t=0 seconds, dt=0 seconds + Solving mesh displacement system... 0 iterations. + Skipping temperature solve because RHS is zero. + Solving layer_1 system ... 0 iterations. + Skipping layer_2 composition solve because RHS is zero. + Skipping layer_3 composition solve because RHS is zero. + Solving Stokes system (GMG)... 0+0 iterations. + + Postprocessing: + RMS, max velocity: 0 m/s, 0 m/s + Topography min/max: 0 m, 0.15 m + Writing graphical output: output-hill_diffusion_field_boundary_conditions/solution/solution-00000 + +*** Timestep 1: t=0.0005 seconds, dt=0.0005 seconds + Solving mesh surface diffusion + Solving mesh displacement system... 4 iterations. + Skipping temperature solve because RHS is zero. + Solving layer_1 system ... 11 iterations. + Skipping layer_2 composition solve because RHS is zero. + Solving layer_3 system ... 12 iterations. + Solving Stokes system (GMG)... 0+0 iterations. + + Postprocessing: + RMS, max velocity: 0 m/s, 0 m/s + Topography min/max: -0.0002308 m, 0.1498 m + Writing graphical output: output-hill_diffusion_field_boundary_conditions/solution/solution-00001 + +*** Timestep 2: t=0.001 seconds, dt=0.0005 seconds + Solving mesh surface diffusion + Solving mesh displacement system... 4 iterations. + Skipping temperature solve because RHS is zero. + Solving layer_1 system ... 12 iterations. + Skipping layer_2 composition solve because RHS is zero. + Solving layer_3 system ... 12 iterations. + Solving Stokes system (GMG)... 0+0 iterations. + + Postprocessing: + RMS, max velocity: 0 m/s, 0 m/s + Topography min/max: -0.0003541 m, 0.1496 m + Writing graphical output: output-hill_diffusion_field_boundary_conditions/solution/solution-00002 + +Termination requested by criterion: end time + + ++----------------------------------------------+------------+------------+ ++----------------------------------+-----------+------------+------------+ ++----------------------------------+-----------+------------+------------+ + +----------------------------------------------------------------------------- +----------------------------------------------------------------------------- diff --git a/tests/hill_diffusion_field_boundary_conditions/solution/solution-00000.0000.gnuplot b/tests/hill_diffusion_field_boundary_conditions/solution/solution-00000.0000.gnuplot new file mode 100644 index 00000000000..7dd01a17ef9 --- /dev/null +++ b/tests/hill_diffusion_field_boundary_conditions/solution/solution-00000.0000.gnuplot @@ -0,0 +1,1799 @@ +# This file was generated by the deal.II library. +# Date = 2024/11/5 +# Time = 11:31:59 +# +# For a description of the GNUPLOT format see the GNUPLOT manual. +# +#

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0.171414 0 0.0136711 + +0.9375 1 0 0 0 0 0 0 1 0 3.3392e-05 +1 1 0 0 0 0 0 0 1 0 -6.41337e-07 + + diff --git a/tests/hill_diffusion_field_boundary_conditions/statistics b/tests/hill_diffusion_field_boundary_conditions/statistics new file mode 100644 index 00000000000..ff9a3f366a1 --- /dev/null +++ b/tests/hill_diffusion_field_boundary_conditions/statistics @@ -0,0 +1,22 @@ +# 1: Time step number +# 2: Time (seconds) +# 3: Time step size (seconds) +# 4: Number of mesh cells +# 5: Number of Stokes degrees of freedom +# 6: Number of temperature degrees of freedom +# 7: Number of degrees of freedom for all compositions +# 8: Iterations for temperature solver +# 9: Iterations for composition solver 1 +# 10: Iterations for composition solver 2 +# 11: Iterations for composition solver 3 +# 12: Iterations for Stokes solver +# 13: Velocity iterations in Stokes preconditioner +# 14: Schur complement iterations in Stokes preconditioner +# 15: RMS velocity (m/s) +# 16: Max. velocity (m/s) +# 17: Minimum topography (m) +# 18: Maximum topography (m) +# 19: Visualization file name +0 0.000000000000e+00 0.000000000000e+00 256 2467 1089 3267 0 0 0 0 4294967295 0 0 0.00000000e+00 0.00000000e+00 0.00000000e+00 1.50000000e-01 output-hill_diffusion_field_boundary_conditions/solution/solution-00000 +1 5.000000000000e-04 5.000000000000e-04 256 2467 1089 3267 0 11 0 12 4294967295 0 0 0.00000000e+00 0.00000000e+00 -2.30814502e-04 1.49814145e-01 output-hill_diffusion_field_boundary_conditions/solution/solution-00001 +2 1.000000000000e-03 5.000000000000e-04 256 2467 1089 3267 0 12 0 12 4294967295 0 0 0.00000000e+00 0.00000000e+00 -3.54125483e-04 1.49628719e-01 output-hill_diffusion_field_boundary_conditions/solution/solution-00002 From 0270aad07a8b98d3d040226fba0061ed73048292 Mon Sep 17 00:00:00 2001 From: Rene Gassmoeller Date: Mon, 11 Nov 2024 11:06:14 +0100 Subject: [PATCH 2/2] Add changelog entry --- doc/modules/changes/20241111_glerum | 8 ++++++++ 1 file changed, 8 insertions(+) create mode 100644 doc/modules/changes/20241111_glerum diff --git a/doc/modules/changes/20241111_glerum b/doc/modules/changes/20241111_glerum new file mode 100644 index 00000000000..974ac63a540 --- /dev/null +++ b/doc/modules/changes/20241111_glerum @@ -0,0 +1,8 @@ + Fixed: The function to determine whether a boundary is an inflow +or outflow boundary (for the purpose of deciding whether to apply +boundary conditions for compositional fields) did not take into +account the mesh deformation. This caused incorrectly applied +surface boundary conditions in models with free surface and is +fixed now. +
+ (Anne Glerum, 2024/11/11)