From 7ca49b0630e858f873b3419b070cd8f2b09571ec Mon Sep 17 00:00:00 2001 From: Alexander Blair Date: Thu, 12 Mar 2026 14:29:17 +0000 Subject: [PATCH 1/2] Add initial files for frequency domain EM solve on oval coil geometry --- .../hive/time-harmonic/ComplexAVForm.i | 334 ++++++++++++++++++ ...il_solid_target_coarse_labelled_exterior.e | Bin 0 -> 3060052 bytes 2 files changed, 334 insertions(+) create mode 100644 test/tests/electromagnetics/hive/time-harmonic/ComplexAVForm.i create mode 100644 test/tests/electromagnetics/hive/time-harmonic/vac_oval_coil_solid_target_coarse_labelled_exterior.e diff --git a/test/tests/electromagnetics/hive/time-harmonic/ComplexAVForm.i b/test/tests/electromagnetics/hive/time-harmonic/ComplexAVForm.i new file mode 100644 index 0000000..10078a6 --- /dev/null +++ b/test/tests/electromagnetics/hive/time-harmonic/ComplexAVForm.i @@ -0,0 +1,334 @@ +# AV-Form frequency-domain solve +# https://doc.comsol.com/6.1/docserver/#!/com.comsol.help.acdc/acdc_ug_theory.05.51.html + +# AC current frequency +freq = 1e5 # 100 kHz +angfreq = '${fparse 2.0*pi*freq}' + +# Permittivity of free space +epsilon0 = 8.8541878176e-12 + +# Conductivities +sigma_coil = 5.8e6 # S/m +sigma_vac = 0.0 +sigma_target = 3.5e6 + +# Magnetic reluctivity of free space (1/mu0) +nu0 = '${fparse (1.0e7)/(4*pi)}' + +potential_difference = 10 # V testing +coil_current = 2121.3 # A magnitude +terminal_area = 2.4e-5 # m^2 for vac_oval_coil_solid_target_coarse.e coil +coil_av_current_density = '${fparse coil_current / terminal_area}' + + +[Problem] + type = MFEMProblem + numeric_type = complex +[] + +[Mesh] + type = MFEMMesh + file = vac_oval_coil_solid_target_coarse_labelled_exterior.e +[] + +[SubMeshes] + [coil_submesh] + type = MFEMDomainSubMesh + block = 'coil' + [] +[] + +[FESpaces] + [H1FESpace] + type = MFEMScalarFESpace + fec_type = H1 + fec_order = FIRST + submesh = coil_submesh + [] + [CoilHCurlFESpace] + type = MFEMVectorFESpace + fec_type = ND + fec_order = FIRST + submesh = coil_submesh + [] + [HCurlFESpace] + type = MFEMVectorFESpace + fec_type = ND + fec_order = FIRST + [] + [HDivFESpace] + type = MFEMVectorFESpace + fec_type = RT + fec_order = CONSTANT + [] + [L2FESpace] + type = MFEMScalarFESpace + fec_type = L2 + fec_order = FIRST + [] +[] + +[Variables] + [a_field] # Magnetic vector potential A = iE_ind/w associated with induced electric field + type = MFEMComplexVariable + fespace = HCurlFESpace + [] + [coil_electric_potential] # Electric potential associated with source electric field + type = MFEMComplexVariable + fespace = H1FESpace + [] +[] + +[AuxVariables] + [grad_v] # Electric potential gradient on coil submesh + type = MFEMComplexVariable + fespace = CoilHCurlFESpace + [] + [parent_grad_v] # Electric potential gradient on global mesh + type = MFEMComplexVariable + fespace = HCurlFESpace + [] + [e_field] # total complex electric field E = E_ind + E_ext + type = MFEMComplexVariable + fespace = HCurlFESpace + [] + [b_field] # complex magnetic flux density + type = MFEMComplexVariable + fespace = HDivFESpace + [] + [q_field] # Joule heating on target + type = MFEMVariable + fespace = L2FESpace + [] + [q1_field] # Joule heating on target + type = MFEMVariable + fespace = L2FESpace + [] + [q2_field] # Joule heating on target + type = MFEMVariable + fespace = L2FESpace + [] +[] + +[Functions] + # (iωσ-ω²ε)A represented as (massCoef + i*loss_coef)A where massCoef = -ω²ε, lossCoef = ωσ + [mass_coef] + type = ParsedFunction + expression = -${epsilon0}*${angfreq}^2 + [] + [loss_coef_vac] + type = ParsedFunction + expression = ${angfreq}*${sigma_vac} + [] + [loss_coef_coil] + type = ParsedFunction + expression = ${angfreq}*${sigma_coil} + [] + [loss_coef_target] + type = ParsedFunction + expression = ${angfreq}*${sigma_target} + [] + [sigma_coil] + type = ParsedFunction + expression = ${sigma_coil} + [] +[] + +[FunctorMaterials] + [vacuum] + type = MFEMGenericFunctorMaterial + prop_names = 'massCoef lossCoef sigma nu' + prop_values = 'mass_coef loss_coef_vac ${sigma_vac} ${nu0}' + block = 'vacuum_region' + [] + [coil] + type = MFEMGenericFunctorMaterial + prop_names = 'massCoef lossCoef sigma nu' + prop_values = 'mass_coef loss_coef_coil sigma_coil ${nu0}' + block = 'coil' + [] + [target] + type = MFEMGenericFunctorMaterial + prop_names = 'massCoef lossCoef sigma nu' + prop_values = 'mass_coef loss_coef_target ${sigma_target} ${nu0}' + block = 'target' + [] +[] + +[AuxKernels] + [∇×A] + type = MFEMComplexCurlAux + variable = b_field + source = a_field + execute_on = TIMESTEP_END + [] + [∇V] + type = MFEMComplexGradAux + variable = grad_v + source = coil_electric_potential + execute_on = TIMESTEP_END + [] + [e_field] # E = -grad V - iwA + type = MFEMComplexSumAux + variable = e_field + source_variables = 'parent_grad_v a_field' + scale_factors_real = '-1.0 0.0' + scale_factors_imag = '0.0 -${angfreq}' + execute_on = TIMESTEP_END + execution_order_group = 3 # Evaluate after transfer of grad v to parent mesh + [] + [joule_heat_1] + type = MFEMInnerProductAux + variable = q1_field + first_source_vec = e_field_real + second_source_vec = e_field_real + coefficient = sigma + execute_on = TIMESTEP_END + execution_order_group = 4 # Evaluate after e_field update + [] + [joule_heat_2] + type = MFEMInnerProductAux + variable = q2_field + first_source_vec = e_field_imag + second_source_vec = e_field_imag + coefficient = sigma + execute_on = TIMESTEP_END + execution_order_group = 4 # Evaluate after e_field update + [] + [joule_heat] + type = MFEMSumAux + variable = q_field + source_variables = 'q1_field q2_field' + scale_factors = '0.5 0.5' + execute_on = TIMESTEP_END + execution_order_group = 5 + [] +[] + +[BCs] + # active 'coil_voltage_constraint coil_ground exterior_a_field' # Strongly constrain coil voltage + active = 'coil_current_constraint coil_ground exterior_a_field' # Weakly constrain coil current density + [exterior_a_field] + type = MFEMComplexVectorTangentialDirichletBC # Enforces J normal to surface, B tangential to surface + variable = a_field + boundary = 'coil_in coil_out terminal_plane exterior' + [] + [coil_ground] + type = MFEMComplexScalarDirichletBC + variable = coil_electric_potential + boundary = 'coil_out' + coefficient_real = 0.0 + coefficient_imag = 0.0 + [] + [coil_voltage_constraint] + type = MFEMComplexScalarDirichletBC + variable = coil_electric_potential + boundary = 'coil_in' + coefficient_real = '${potential_difference}' + coefficient_imag = 0.0 #no phase-shift + [] + [coil_current_constraint] + type = MFEMComplexIntegratedBC + variable = coil_electric_potential + boundary = 'coil_in' + [RealComponent] + type = MFEMBoundaryIntegratedBC + coefficient = '${coil_av_current_density}' + [] + [ImagComponent] + type = MFEMBoundaryIntegratedBC + coefficient = 0.0 + [] + [] +[] + +[Kernels] + [ν∇×A,∇×A'] + type = MFEMComplexKernel + variable = a_field + [RealComponent] + type = MFEMCurlCurlKernel + coefficient = nu + block = 'target vacuum_region coil' + [] + [] + [(iωσ-ω²ε)A,A'] + type = MFEMComplexKernel + variable = a_field + [RealComponent] + type = MFEMVectorFEMassKernel + coefficient = massCoef # = -ω²ε + block = 'target vacuum_region coil' + [] + [ImagComponent] + type = MFEMVectorFEMassKernel + coefficient = lossCoef # = ωσ + block = 'target coil' + [] + [] + [(σ+iωε)∇V,A'] + type = MFEMMixedSesquilinearFormKernel + trial_variable = coil_electric_potential + variable = a_field + [RealComponent] + type = MFEMMixedVectorGradientKernel + coefficient = sigma_coil + [] + [ImagComponent] + type = MFEMMixedVectorGradientKernel + coefficient = '${fparse angfreq * epsilon0}' + [] + [] + + # div J = 0 gauge choice in coil + [σ∇V,∇V'] + type = MFEMComplexKernel + variable = coil_electric_potential + [RealComponent] + type = MFEMDiffusionKernel + coefficient = sigma_coil + [] + [] + [iωσA,∇V'] + type = MFEMMixedSesquilinearFormKernel + trial_variable = a_field + variable = coil_electric_potential + transpose = true + [ImagComponent] + type = MFEMMixedVectorGradientKernel + coefficient = loss_coef_coil + [] + [] +[] + +[Solver] + type = MFEMMUMPS +[] + +[Executioner] + type = MFEMSteady + device = cpu +[] + +[Transfers] + [submesh_transfer_from_coil] + type = MFEMSubMeshComplexTransfer + from_variable = grad_v + to_variable = parent_grad_v + execute_on = TIMESTEP_END + execution_order_group = 2 + [] +[] + +[Outputs] + [ParaViewDataCollection] + type = MFEMParaViewDataCollection + file_base = HIVE/Submesh_AVform_frequency_domain + [] + [SubmeshParaViewDataCollection] + type = MFEMParaViewDataCollection + file_base = HIVE/CoilSubmesh_AVform_frequency_domain + submesh = coil_submesh + [] +[] diff --git a/test/tests/electromagnetics/hive/time-harmonic/vac_oval_coil_solid_target_coarse_labelled_exterior.e b/test/tests/electromagnetics/hive/time-harmonic/vac_oval_coil_solid_target_coarse_labelled_exterior.e new file mode 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zrvVLVL}QxJlx8%i1ubbsYueD3cC@Dh9qB}8y3mzwbf*VB=|yk)(3gJnX8;2k#1Muu zjNy!6B%>J37{)S=@l0SMlbFmDrZSD`%wQ(7n9UsKGLQKzU?GcG%o3KejODCgC97D? z8rHIo^=x1xo7l`2wz7@w>|iIm*v%gHvXA{7;2?)M%n^=qjN_c(B&Rsd8P0N!^IYH} zm$=Lou5yj*+~6j+xXm5za*z8w;9vgZA&+>>6Q1&n=e*!0uXxQH-tvz3eBdLW_{fTJ9`Q*)LK2afBqSvn$w@&^$tANeUj zK?+frA{50j#fnpcl9Zw}WhhHI%2R=gRH8Cfs7f`eQ-hk+qBeD?OFin-fQB@pF->Vk zb6U`nR~op)dXD&j1E8h`|hDD8m@e2u3oB(Trg% q;~38bCNhc1Okpb1n9dAlGK<;FVJ`ES&jJ>*h{Y^nDa%;SivIyv9%*U- literal 0 HcmV?d00001 From 1435811032cc8c392de7c88b26468e217d616fdc Mon Sep 17 00:00:00 2001 From: Alexander Blair Date: Fri, 21 Aug 2026 14:09:13 +0100 Subject: [PATCH 2/2] Update ComplexAVForm.i following upstream MOOSE changes --- .../hive/time-harmonic/ComplexAVForm.i | 13 +++++-------- 1 file changed, 5 insertions(+), 8 deletions(-) diff --git a/test/tests/electromagnetics/hive/time-harmonic/ComplexAVForm.i b/test/tests/electromagnetics/hive/time-harmonic/ComplexAVForm.i index 10078a6..5710924 100644 --- a/test/tests/electromagnetics/hive/time-harmonic/ComplexAVForm.i +++ b/test/tests/electromagnetics/hive/time-harmonic/ComplexAVForm.i @@ -176,7 +176,6 @@ coil_av_current_density = '${fparse coil_current / terminal_area}' scale_factors_real = '-1.0 0.0' scale_factors_imag = '0.0 -${angfreq}' execute_on = TIMESTEP_END - execution_order_group = 3 # Evaluate after transfer of grad v to parent mesh [] [joule_heat_1] type = MFEMInnerProductAux @@ -185,7 +184,6 @@ coil_av_current_density = '${fparse coil_current / terminal_area}' second_source_vec = e_field_real coefficient = sigma execute_on = TIMESTEP_END - execution_order_group = 4 # Evaluate after e_field update [] [joule_heat_2] type = MFEMInnerProductAux @@ -194,7 +192,6 @@ coil_av_current_density = '${fparse coil_current / terminal_area}' second_source_vec = e_field_imag coefficient = sigma execute_on = TIMESTEP_END - execution_order_group = 4 # Evaluate after e_field update [] [joule_heat] type = MFEMSumAux @@ -202,7 +199,6 @@ coil_av_current_density = '${fparse coil_current / terminal_area}' source_variables = 'q1_field q2_field' scale_factors = '0.5 0.5' execute_on = TIMESTEP_END - execution_order_group = 5 [] [] @@ -294,16 +290,18 @@ coil_av_current_density = '${fparse coil_current / terminal_area}' type = MFEMMixedSesquilinearFormKernel trial_variable = a_field variable = coil_electric_potential - transpose = true [ImagComponent] type = MFEMMixedVectorGradientKernel coefficient = loss_coef_coil + transpose = true [] [] [] -[Solver] - type = MFEMMUMPS +[Solvers] + [main] + type = MFEMMUMPS + [] [] [Executioner] @@ -317,7 +315,6 @@ coil_av_current_density = '${fparse coil_current / terminal_area}' from_variable = grad_v to_variable = parent_grad_v execute_on = TIMESTEP_END - execution_order_group = 2 [] []

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