! Copyright (c) 2014-2015 Nikhil Anand <nikhil.anand@uni-siegen.de> ! Copyright (c) 2014, 2018 Harald Klimach <harald.klimach@uni-siegen.de> ! Copyright (c) 2014 Jens Zudrop <j.zudrop@grs-sim.de> ! Copyright (c) 2014, 2017, 2020 Peter Vitt <peter.vitt2@uni-siegen.de> ! Copyright (c) 2014 Timo Stentenbach ! 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. ! **************************************************************************** ! !> Module for routines and datatypes of MOdal Discontinuous Galerkin (MODG) !! scheme for the Heat equation. This scheme is a spectral scheme for linear, purley hyperbolic !! partial differential equation systems. module atl_modg_heat_kernel_module use env_module, only: rk use atl_equation_module, only: atl_equations_type use atl_cube_elem_module, only: atl_cube_elem_type use atl_scheme_module, only: atl_modg_scheme_type, & & atl_scheme_type use atl_facedata_module, only: atl_facedata_type use atl_numFluxHeat_module, only: atl_modg_heat_numFlux_sipg use atl_penalization_module, only: atl_penalizationData_type use atl_materialPrp_module, only: atl_material_type use ply_poly_project_module, only: ply_poly_project_type,assignment(=) use ply_leg_diff_module, only: ply_calcDiff_leg_normal use ply_dof_module, only: ply_change_poly_space, & & P_space, & & Q_space implicit none private public :: atl_modg_heat_numflux, atl_modg_heat_physFlux contains !> Calculate the physical flux for the MODG scheme and !! Heat equation. subroutine atl_modg_heat_physFlux( equation, res, state, iElem, iDir, & & penalizationData, poly_proj, material, & & nodal_data,nodal_gradData, nodal_res, & & elemLength, scheme_min, scheme_current ) ! -------------------------------------------------------------------------- !> The equation system we are working with type(atl_equations_type), intent(in) :: equation !> The result in the modal form real(kind=rk), intent(inout) :: res(:,:) !> The state in the modal form real(kind=rk), intent(in), optional :: state(:,:) !> The current element index integer, intent(in) :: iElem !> The current direction integer, intent(in) :: iDir !> The Penalization data type(atl_penalizationData_type), intent(inout) :: penalizationData !> The projection datatype for the projection information type(ply_poly_project_type), intent(inout) :: poly_proj !> The material information type(atl_material_type), intent(inout) :: material !> The state data in the nodal form real(kind=rk), intent(in), optional :: nodal_data(:,:) real(kind=rk), intent(in), optional :: nodal_GradData(:,:,:) !> The result in the nodal form real(kind=rk), intent(inout) :: nodal_res(:,:) !> The length of the current element real(kind=rk), intent(in) :: ElemLength !> The scheme information of the min level (This is needed for the temp ! buffer array for evaluating the physical fluxes ) type(atl_scheme_type), intent(inout) :: scheme_min !> Information about the current level type(atl_scheme_type), intent(inout) :: scheme_current ! --------------------------------------------------------------------------! integer :: nScal, nDofs real(kind=rk), allocatable :: temp_modal_P(:,:,:,:) real(kind=rk), allocatable :: temp_modal_Q(:,:,:,:) real(kind=rk) :: therm_diff ! --------------------------------------------------------------------------! therm_diff = equation%heat%k nScal = equation%varSys%nScalars nDofs = poly_proj%body_3d%ndofs ! get the modal coefficients of the current cell ! ATTENTION: have to be duplicated as the FPT modifies the input vector. scheme_min%temp_modal(:ndofs,:nScal,1) = state(:,:) select case (scheme_min%modg%basisType) case (Q_space) call ply_calcDiff_leg_normal( & & legCoeffs = scheme_min%temp_modal(:ndofs,:nScal,1), & & legcoeffsDiff = scheme_min%temp_modal(:ndofs,:nScal,2), & & mPd = poly_proj%maxPolyDegree, & & elemLength = elemLength, & & nVars = 1, & & iDir = iDir ) case (P_space) allocate(temp_modal_P(1,nDofs,nScal,2)) allocate(temp_modal_Q(1,(poly_proj%maxPolyDegree+1)**3,nScal,2)) temp_modal_P(1,:ndofs,:nscal,:2) = scheme_min%temp_modal(:,:,:) call ply_change_poly_space( inspace = P_space, & & instate = temp_modal_P(:,:,:,1), & & outstate = temp_modal_Q(:,:,:,1), & & maxPolyDeg = poly_proj%maxPolyDegree, & & nElems = 1, & & nVars = nScal, & & nDims = 3 ) call ply_calcDiff_leg_normal( & & legCoeffs = temp_modal_Q(1,:,:,1), & & legcoeffsDiff = temp_modal_Q(1,:,:,2), & & mPd = poly_proj%maxPolyDegree, & & elemLength = elemLength, & & nVars = 1, & & iDir = iDir ) call ply_change_poly_space( inspace = Q_space, & & instate = temp_modal_Q(:,:,:,2), & & outstate = temp_modal_P(:,:,:,2), & & maxPolyDeg = poly_proj%maxPolyDegree, & & nElems = 1, & & nVars = nScal, & & nDims = 3 ) scheme_min%temp_modal(:ndofs,:nScal,2) = temp_modal_P(1,:,:,2) deallocate(temp_modal_P) deallocate(temp_modal_Q) end select res(:,1) = -therm_diff*scheme_min%temp_modal(:,1,2) end subroutine atl_modg_heat_physFlux !> Calculate the numerical flux for Heat equation and MODG scheme subroutine atl_modg_heat_numFlux( mesh, equation, facedata, scheme, & & poly_proj ) ! -------------------------------------------------------------------------- !> The mesh you are working with. type(atl_cube_elem_type), intent(in) :: mesh !> 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(in) :: scheme !> Parameter for used projection type(ply_poly_project_type), intent(inout) :: poly_proj ! -------------------------------------------------------------------------- integer :: iDir ! -------------------------------------------------------------------------- ! Numerical flux for faces in all spatial face directions !%OMP PRIVATE(iDir) & do iDir = 1,3 call atl_modg_heat_numFlux_sipg( & & equation = equation , & & facedata = facedata, & & faces = mesh%faces%faces(iDir)%computeFace, & & faceDir = iDir, & & dofs = poly_proj%body_2d%ndofs, & & elem_len = mesh%length, & & maxPolyDeg = scheme%maxPolyDegree ) end do end subroutine atl_modg_heat_numFlux end module atl_modg_heat_kernel_module