! Copyright (c) 2012-2014 Jens Zudrop <j.zudrop@grs-sim.de> ! Copyright (c) 2012-2016, 2018 Harald Klimach <harald.klimach@uni-siegen.de> ! Copyright (c) 2012 Vyacheslav Korchagin <v.korchagin@grs-sim.de> ! Copyright (c) 2012-2013 Melven Zoellner <yameta@freenet.de> ! Copyright (c) 2012 Jan Hueckelheim <j.hueckelheim@grs-sim.de> ! Copyright (c) 2013-2014 Verena Krupp <verena.krupp@uni-siegen.de> ! Copyright (c) 2013-2017 Peter Vitt <peter.vitt2@uni-siegen.de> ! Copyright (c) 2014-2015 Nikhil Anand <nikhil.anand@uni-siegen.de> ! Copyright (c) 2016 Parid Ndreka ! Copyright (c) 2016 Tobias Girresser <tobias.girresser@student.uni-siegen.de> ! Copyright (c) 2017 Daniel Petró <daniel.petro@student.uni-siegen.de> ! ! Permission to use, copy, modify, and distribute this software for any ! purpose with or without fee is hereby granted, provided that the above ! copyright notice and this permission notice appear in all copies. ! ! THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHORS DISCLAIM ALL WARRANTIES ! WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF ! MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ! ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES ! WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ! ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF ! OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. ! **************************************************************************** ! ! Copyright (c) 2014,2016-2017 Peter Vitt <peter.vitt2@uni-siegen.de> ! Copyright (c) 2014 Harald Klimach <harald.klimach@uni-siegen.de> ! ! Parts of this file were written by Peter Vitt and Harald Klimach for ! University of Siegen. ! ! Permission to use, copy, modify, and distribute this software for any ! purpose with or without fee is hereby granted, provided that the above ! copyright notice and this permission notice appear in all copies. ! ! THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHORS DISCLAIM ALL WARRANTIES ! WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF ! MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ! ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES ! WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ! ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF ! OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. ! **************************************************************************** ! ! ! Return the position of a given ansatz function combination in the ! linearized list of modal coefficients for Q-Tensor product polynomials. ! You must provide ! * Ansatzfunction index in x direction. Index starts with 1. ! * Ansatzfunction index in y direction. Index starts with 1. ! * Ansatzfunction index in z direction. Index starts with 1. ! * The maximal polynomial degree per spatial direction. ! * The variable to store the position of the modal coefficient in the list of ! modal coefficients in. ! Return the position of a given ansatz function combination in the ! linearized list of modal coefficients for Q-Tensor product polynomials. ! You must provide ! * Ansatzfunction index in x direction. Index starts with 1. ! * Ansatzfunction index in y direction. Index starts with 1. ! * The maximal polynomial degree per spatial direction. ! * The variable to store the position of the modal coefficient in the list of ! modal coefficients in. ! Return the position of a given ansatz function combination in the ! linearized list of modal coefficients for Q-Tensor product polynomials. ! You must provide ! * Ansatzfunction index in x direction. Index starts with 1. ! * The variable to store the position of the modal coefficient in the list of ! modal coefficients in. ! Return the position of a given ansatz function combination in the ! linearized list of modal coefficients for P-Tensor product polynomials. ! You must provide ! * Ansatzfunction index in x direction. Index starts with 1. ! * Ansatzfunction index in y direction. Index starts with 1. ! * Ansatzfunction index in z direction. Index starts with 1. ! * The maximal polynomial degree per spatial direction. ! * The variable to store the position of the modal coefficient in the list of ! modal coefficients in. ! Return the position of a given ansatz function combination in the ! linearized list of modal coefficients for P-Tensor product polynomials. ! You must provide ! * Ansatzfunction index in x direction. Index starts with 1. ! * Ansatzfunction index in y direction. Index starts with 1. ! * The maximal polynomial degree per spatial direction. ! * The variable to store the position of the modal coefficient in the list of ! modal coefficients in. ! Return the position of a given ansatz function combination in the ! linearized list of modal coefficients for P-Tensor product polynomials. ! You must provide ! * Ansatzfunction index in x direction. Index starts with 1. ! * The variable to store the position of the modal coefficient in the list of ! modal coefficients in. ! Return the number of degrees of freedom for Q polynomial space ! Your must provide: ! * The maximal polynomial degree per spatial direction ! * The variable to store the number of degrees of freedom for a Q tensor ! product polynomial ! Return the number of degrees of freedom for broken polynomial space ! Your must provide: ! * The maximal polynomial degree per spatial direction (for P Tensor product ! polynomials this assumed to be the same for each spatial direction). ! * The variable to store the number of degrees of freedom for a P tensor ! product polynomial ! Return the number of degrees of freedom for Q polynomial space ! You must provide: ! * The maximal polynomial degree per spatial direction ! * The variable to store the number of degrees of freedom for a Q tensor ! product polynomial ! Return the number of degrees of freedom for broken polynomial space ! You must provide: ! * The maximal polynomial degree per spatial direction (for P Tensor product ! polynomials this assumed to be the same for each spatial direction). ! * A variable to store the number of degrees of freedom for a P tensor product ! polynomial ! Return the number of degrees of freedom for Q polynomial space ! You must provide: ! * The maximal polynomial degree per spatial direction ! * The variable to store the number of degrees of freedom for a Q tensor ! product polynomial ! Return the number of degrees of freedom for broken polynomial space ! You must provide: ! * The maximal polynomial degree per spatial direction (for P Tensor product ! polynomials this assumed to be the same for each spatial direction). ! * The variable to store the number of degrees of freedom for a P tensor ! product polynomial ! The x, y and z ansatz degrees are turned into the degrees of the next ! ansatz function in the layered P list ! You must provide: ! * Ansatz function index in x direction. First ansatz function has index 1. ! * Ansatz function index in y direction. First ansatz function has index 1. ! * Ansatz function index in z direction. First ansatz function has index 1. ! The x and y ansatz degrees are turned into the degrees of the next ! ansatz function in the layered P list ! You must provide: ! * Ansatz function index in x direction. First ansatz function has index 1. ! * Ansatz function index in y direction. First ansatz function has index 1. ! The x ansatz degree is turned into the degree of the next ! ansatz function in the layered P list ! You must provide: ! * Ansatz function index in x direction. First ansatz function has index 1. ! The x, y and z ansatz degrees are turned into the degrees of the next ! ansatz function in the linearized Q tensor ! You must provide: ! * Ansatz function index in x direction. First ansatz function has index 1. ! * Ansatz function index in y direction. First ansatz function has index 1. ! * Ansatz function index in z direction. First ansatz function has index 1. ! * Maximal polynomial degree ! The x and y ansatz degrees are turned into the degrees of the next ! ansatz function in the linearized Q tensor ! You must provide: ! * Ansatz function index in x direction. First ansatz function has index 1. ! * Ansatz function index in y direction. First ansatz function has index 1. ! * Maximal polynomial degree ! The x ansatz degree is turned into the degree of the next ! ansatz function in the linearized Q tensor ! You must provide: ! * Ansatz function index in x direction. First ansatz function has index 1. !> author: Jens Zudrop !! Module for routines and datatypes of MOdal Discontinuous Galerkin (MODG) !! scheme. This scheme is a spectral scheme for linear, purley hyperbolic !! partial differential equation systems. module atl_modg_maxwell_kernel_module use env_module, only: rk use tem_aux_module, only: tem_abort use ply_dof_module, only: Q_space, & & P_space use ply_poly_project_module, only: ply_poly_project_type, assignment(=), & & ply_poly_project_n2m, ply_poly_project_m2n use ply_oversample_module, only: ply_convert2oversample, & & ply_convertFromoversample use atl_equation_module, only: atl_equations_type use atl_maxwell_flux_module, only: atl_maxwell_flux use atl_modg_scheme_module, only: atl_modg_scheme_type use atl_facedata_module, only: atl_facedata_type use atl_materialPrp_module, only: atl_material_type use atl_penalization_module, only: atl_penalizationData_type use atl_scheme_module, only: atl_scheme_type implicit none private public :: atl_modg_maxwell_numFlux, & & atl_modg_maxwell_physFlux_const, & & atl_modg_maxwell_physFlux_NonConst contains ! ************************************************************************ ! !> Calculate the numerical flux for Maxwell equation and MODG scheme subroutine atl_modg_maxwell_numFlux( equation, facedata, scheme, poly_proj, & & material ) ! -------------------------------------------------------------------- ! !> The equation you solve. type(atl_equations_type), intent(in) :: equation !> The face representation of the state. type(atl_facedata_type), intent(inout) :: facedata !> Parameters of the modal dg scheme type(atl_modg_scheme_type), intent(inout) :: scheme !> Data for projection method type(ply_poly_project_type), intent(inout) :: poly_proj !> Material description for the faces on the current level type(atl_material_type), intent(inout) :: material ! -------------------------------------------------------------------- ! integer :: iDir, nFaceDofs real(kind=rk), allocatable :: modalCoeffs(:,:,:) real(kind=rk), allocatable :: pntVal(:,:,:) real(kind=rk), allocatable :: nodalNumFlux(:,:) real(kind=rk), allocatable :: numFluxBuffer(:,:) integer :: nquadpoints, oversamp_dofs ! -------------------------------------------------------------------- ! ! Numerical flux for faces in all 3 spatial face directions select case(scheme%basisType) case(Q_space) nFaceDofs = (scheme%maxPolyDegree+1)**2 case(P_space) nfacedofs = ((scheme%maxpolydegree)+1)*((scheme%maxpolydegree)+2)/2 end select ! correct amount of points due to projection nquadpoints = poly_proj%body_2D%nquadpoints oversamp_dofs = poly_proj%body_2D%oversamp_dofs ! Calculate the numerical fluxes for the faces with constant material ! paramters do iDir = 1,3 if(size(material%material_desc%computeFace(iDir,1)%leftPos) > 0) then call atl_maxwell_flux( & & nTotalFaces = size(facedata%faceRep(iDir)%dat,1), & & nSides = size(material%material_desc & & %computeFace(iDir,1) & & %leftPos), & & nFaceDofs = nFaceDofs, & & faceRep = facedata%faceRep(iDir)%dat, & & faceFlux = facedata%faceFlux(iDir)%dat, & & leftPos = material%material_desc & & %computeFace(iDir,1) & & %leftPos, & & rightPos = material%material_desc & & %computeFace(iDir,1) & & %rightPos, & & var = equation%varRotation(iDir) & & %varTransformIndices(:), & & material_left = material%material_dat & & %faceMaterialData(iDir,1) & & %leftElemMaterialDat, & & material_right = material%material_dat & & %faceMaterialData(iDir,1) & & %rightElemMaterialDat ) end if end do ! Calculate the numerical fluxes for the faces with non-constant material ! paramters do iDir = 1,3 if(size(material%material_desc%computeFace(iDir,2)%leftPos) > 0) then ! Variable material parameters work only for Q_space polynomials if(.not.(scheme%basisType.eq.Q_space)) then call tem_abort( 'Error in atl_modg_maxwell_numFlux: Variable' & & // ' material parameters work only for Q polynomial space' ) end if allocate( modalCoeffs(oversamp_dofs,equation%varSys%nScalars,2) ) allocate( pntVal(nQuadPoints,equation%varSys%nScalars,2) ) allocate( nodalNumFlux(nQuadPoints,equation%varSys%nScalars) ) allocate( numFluxBuffer(oversamp_dofs,equation%varSys%nScalars) ) call atl_maxwell_flux( & & nTotalFaces = size(facedata%faceRep(iDir)%dat,1), & & nSides = size(material%material_desc & & %computeFace(iDir,2) & & %leftPos), & & nFaceDofs = nFaceDofs, & & faceRep = facedata%faceRep(iDir)%dat, & & faceFlux = facedata%faceFlux(iDir)%dat, & & leftPos = material%material_desc & & %computeFace(iDir,2) & & %leftPos, & & rightPos = material%material_desc & & %computeFace(iDir,2) & & %rightPos, & & var = equation%varRotation(iDir) & & %varTransformIndices(:), & & material_left = material%material_dat & & %faceMaterialData(iDir,2) & & %leftElemMaterialDat, & & material_right = material%material_dat & & %faceMaterialData(iDir,2) & & %rightElemMaterialDat, & & poly_proj = poly_proj, & & modalCoeffs = modalCoeffs, & & pntVal = pntVal, & & nodalNumFlux = nodalNumFlux, & & numFluxBuffer = numFluxBuffer ) deallocate( modalCoeffs ) deallocate( pntVal ) deallocate( nodalNumFlux ) deallocate( numFluxBuffer ) end if end do end subroutine atl_modg_maxwell_numFlux ! ************************************************************************ ! ! ************************************************************************ ! subroutine atl_modg_maxwell_physFlux_const ( equation, res, state, iElem, & & iDir, penalizationData, poly_proj, material, nodal_data,nodal_gradData, & & nodal_res, elemLength, scheme_min, scheme_current ) ! -------------------------------------------------------------------- ! !> The equation you solve. type(atl_equations_type), intent(in) :: equation !> To store the resulting phy flux in modal form real(kind=rk), intent(inout) :: res(:,:) !> The state of the equation real(kind=rk), intent(in), optional :: state(:,:) !> The current Element integer, intent(in) :: iElem !> The current Direction integer, intent(in) :: iDir !> The penalization data type(atl_penalizationData_type), intent(inout) :: penalizationData !> Poly project type(ply_poly_project_type), intent(inout) :: poly_proj !> Material description for the faces on the current level type(atl_material_type), intent(inout) :: material !> The state in nodal form real(kind=rk), intent(in), optional :: nodal_data(:,:) real(kind=rk), intent(in), optional :: nodal_GradData(:,:,:) real(kind=rk), intent(inout) :: nodal_res(:,:) !> Length of the element real(kind=rk), intent(in) :: ElemLength !> The scheme information type(atl_scheme_type), intent(inout) :: scheme_min type(atl_scheme_type), intent(inout) :: scheme_current ! -------------------------------------------------------------------- ! ! Rotation indices for physical flux calculation in y and z direction integer :: rot(6) integer :: nDofs, nScalars real(kind=rk) :: inv_mu, inv_epsi ! -------------------------------------------------------------------- ! ! get the rotation for the physical flux calculation in y and z direction. rot = equation%varRotation(iDir)%varTransformIndices(1:6) nDofs = size(state,1) nScalars = size(state,2) inv_mu = 1.0_rk / material%material_dat%elemMaterialData(1) & & %materialDat(iElem,1,1) inv_epsi = 1.0_rk / material%material_dat%elemMaterialData(1) & & %materialDat(iElem,1,2) call compute_physFlux( nDofs = nDofs, & & nScalars = nScalars, & & state_der = res(:ndofs,:), & & state = state, & & rot = rot, & & inv_mu = inv_mu, & & inv_epsi = inv_epsi ) end subroutine atl_modg_maxwell_physFlux_const ! ************************************************************************ ! ! ************************************************************************ ! subroutine atl_modg_maxwell_physFlux_NonConst( equation, res, state, iElem, & & iDir, penalizationData, poly_proj, material, nodal_data, nodal_gradData, & & nodal_res, elemLength, scheme_min, scheme_current ) ! -------------------------------------------------------------------- ! !> The equation you solve. type(atl_equations_type), intent(in) :: equation !> To store the resulting phy flux in modal form real(kind=rk), intent(inout) :: res(:,:) !> The state of the equation real(kind=rk), intent(in), optional :: state(:,:) !> The current Element integer, intent(in) :: iElem !> The current Direction integer, intent(in) :: iDir !> The penalization data type(atl_penalizationData_type), intent(inout) :: penalizationData !> Poly project type(ply_poly_project_type), intent(inout) :: poly_proj !> Material description for the faces on the current level type(atl_material_type), intent(inout) :: material !> The state in nodal form real(kind=rk), intent(in), optional :: nodal_data(:,:) real(kind=rk), intent(in), optional :: nodal_GradData(:,:,:) real(kind=rk), intent(inout) :: nodal_res(:,:) !> Length of the element real(kind=rk), intent(in) :: ElemLength !> The scheme information type(atl_scheme_type), intent(inout) :: scheme_min type(atl_scheme_type), intent(inout) :: scheme_current ! -------------------------------------------------------------------- ! ! Rotation indices for physical flux calculation in y and z direction integer :: rot(6) integer :: nDofs, nScalars ! -------------------------------------------------------------------- ! ! get the rotation for the physical flux calculation in y and z direction. rot = equation%varRotation(iDir)%varTransformIndices(1:6) nDofs = size(state,1) nScalars = size(state,2) ! Variable material parameters work only for Q_space polynomials if(.not.(scheme_current%modg%basisType.eq.Q_space)) then call tem_abort( 'Error in modg_maxwell_physFlux: Variable material' & & // ' parameters work only for Q poly space' ) end if call compute_physFlux_nonConst( & & nDofs = nDofs, & & nScalars = nScalars, & & state_der = res(:ndofs,:), & & state = state, & & rot = rot, & & nelems = material%material_desc & & %computeElems(2)%nElems , & & material = material%material_dat & & %elemMaterialData(2)%materialDat, & & poly_proj = poly_proj, & & modalCoeffs = scheme_min%temp_over, & & nodalPhysFlux = scheme_min%temp_nodal, & & iElem = iElem ) end subroutine atl_modg_maxwell_physFlux_NonConst ! ************************************************************************ ! ! ************************************************************************ ! !> Compute the physical flux in x direction. !! !! For other directions a properly defined variable permutation can be used. !! This routine covers only constant material parameters. subroutine compute_physFlux( nDofs, nScalars, state_der, state, rot, & & inv_mu, inv_epsi ) ! -------------------------------------------------------------------- ! !> dimensions integer, intent(in) :: nDofs, nScalars real(kind=rk), intent(inout) :: state_der(nDofs,nScalars) !> State to compute the fluxes from. real(kind=rk), intent(in) :: state(nDofs,nScalars) !> Rotationing to index the variables. integer, intent(in) :: rot(6) real(kind=rk), intent(in) :: inv_mu, inv_epsi ! -------------------------------------------------------------------- ! integer :: iDoF, iter ! -------------------------------------------------------------------- ! do iter=lbound(state_der,2),ubound(state_der,2) state_der(:,iter) = 0.0_rk end do do iDoF=1,nDoFs state_der(iDoF,rot(1)) = 0.0_rk state_der(iDoF,rot(2)) = state(iDoF,rot(6)) * inv_mu state_der(iDoF,rot(3)) = - state(iDoF,rot(5)) * inv_mu state_der(iDoF,rot(4)) = 0.0_rk state_der(iDoF,rot(5)) = - state(iDoF,rot(3)) * inv_epsi state_der(iDoF,rot(6)) = state(iDoF,rot(2)) * inv_epsi end do end subroutine compute_physFlux ! ************************************************************************ ! ! ************************************************************************ ! !> Function for physical flux of the Maxwell equations in terms of D and B. function atl_physFluxMaxwell(state, material) result(flux) ! -------------------------------------------------------------------- ! !> State to compute the fluxes from (D,B). real(kind=rk), intent(in) :: state(6) !> Material parameters (mu, epsilon) the flux calculation real(kind=rk), intent(in) :: material(2) !> The resulting flux in x direction real(kind=rk) :: flux(6) ! -------------------------------------------------------------------- ! real(kind=rk) :: inv_mu, inv_epsi ! -------------------------------------------------------------------- ! ! Get magnetic permeability inv_mu = 1.0_rk / material(1) ! Get electric permitivity inv_epsi = 1.0_rk / material(2) flux(1) = 0.0_rk flux(2) = state(6) * inv_mu flux(3) = state(5) * (-1.0_rk) * inv_mu flux(4) = 0.0_rk flux(5) = state(3) * (-1.0_rk) * inv_epsi flux(6) = state(2) * inv_epsi end function atl_physFluxMaxwell ! ************************************************************************ ! ! ************************************************************************ ! !> Compute the physical flux in x direction. !! !! For other directions a properly defined variable permutation can be used. !! This routine covers non-constant material parameters. subroutine compute_physFlux_nonConst( nDofs, nScalars, nElems, state_der, & & state, rot, material, poly_proj, & & modalCoeffs, nodalPhysFlux, iElem ) ! -------------------------------------------------------------------- ! !> dimensions integer, intent(in) :: nDofs, nScalars !> Array to store the fluxes in. !real(kind=rk), intent(inout) :: state_der(nTotalElems,nDofs,nScalars) real(kind=rk), intent(inout) :: state_der(nDofs,nScalars) !> State to compute the fluxes from. !real(kind=rk), intent(in) :: state(nTotalElems,nDofs,nScalars) real(kind=rk), intent(in) :: state(nDofs,nScalars) !> Rotationing to index the variables. !integer, intent(in) :: rotY(6), rotZ(6) integer, intent(in) :: rot(6) !> Number of elements. integer, intent(in) :: nElems !> Current element index integer, intent(in) :: iElem !> Material parameters (mu, epsilon) for all elements real(kind=rk), intent(in) :: material(nElems,nDofs,2) !> Data for projection method type(ply_poly_project_type) :: poly_proj !> Working array for modal coefficients of the current element in the loop. real(kind=rk), intent(inout) & & :: modalCoeffs(poly_proj%body_3D%oversamp_dofs,size(state,2),1) !> Working array for nodal representation of the physical flux along the !! 3 spatial directions. real(kind=rk), intent(inout) & & :: nodalPhysFlux(poly_proj%body_3D%nquadpoints,size(state,2),2) ! -------------------------------------------------------------------- ! integer :: iPoint integer :: nquadpoints ! -------------------------------------------------------------------- ! nquadpoints = poly_proj%body_3D%nquadpoints ! --> modal space call ply_convert2oversample( state = state(:,:), & & poly_proj = poly_proj, & & nDim = 3, & & modalCoeffs = modalCoeffs(:,:,1) ) ! --> oversampling modal space ! Now, we transform the modal representation of this element to nodal ! space by making use of fast polynomial transformations (FPT) call ply_poly_project_m2n( me = poly_proj, & & dim = 3 , & & nVars = nScalars, & & nodal_data = nodalPhysFlux(:,:,2), & & modal_data = modalCoeffs(:,:,1) ) ! --> oversampling nodal space ! Calculate the physical flux point by point within this cell - x direction do iPoint = 1,nQuadPoints nodalPhysFlux(iPoint,rot,1) = atl_physFluxMaxwell( & & state = nodalPhysFlux(iPoint,rot,2), & & material = material(iElem,iPoint,:) ) end do ! Transform the nodal physical flux back to modal space ! --> oversampled nodal space call ply_poly_project_n2m( me = poly_proj, & & dim = 3 , & & nVars = nScalars, & & nodal_data = nodalPhysFlux(:,:,1), & & modal_data = modalCoeffs(:,:,1) ) ! --> oversampled modal space call ply_convertFromOversample( modalCoeffs = modalCoeffs(:,:,1), & & poly_proj = poly_proj, & & nDim = 3, & & state = state_der(:,:) ) ! --> modal space end subroutine compute_physFlux_nonConst ! ************************************************************************ ! end module atl_modg_maxwell_kernel_module