! Copyright (c) 2016 Verena Krupp <verena.krupp@uni-siegen.de> ! Copyright (c) 2016 Tobias Girresser <tobias.girresser@student.uni-siegen.de> ! Copyright (c) 2016 Peter Vitt <peter.vitt2@uni-siegen.de> ! Copyright (c) 2017 Daniel Petró <daniel.petro@student.uni-siegen.de> ! Copyright (c) 2018 Harald Klimach <harald.klimach@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 that holds all routines to calculate the flux for !! hyperbolic linearzied gas dynamic equations. module atl_LinearEuler_2d_numflux_module ! Treelm modules use env_module, only: rk use atl_eqn_LinearEuler_module, only: atl_LinearEuler_type implicit none private public :: atl_LinearEuler_2d_numflux_subleft public :: atl_LinearEuler_2d_numflux_subright public :: atl_LinearEuler_2d_numflux_superleft public :: atl_LinearEuler_2d_numflux_superright contains ! ****************************************************************************** subroutine atl_LinearEuler_2d_numflux_subright( nSides, nFaceDofs, faceRep, & & faceFlux,leftPos, rightPos, & & var, LinearEuler, iDir ) ! -------------------------------------------------------------------------- !> Datatype for LinearEuler equation include all background data type(atl_LinearEuler_type), intent(in) :: LinearEuler integer, intent(in) :: nFaceDofs, nSides real(kind=rk), intent(in) :: faceRep(:, :, :, :) real(kind=rk), intent(inout) :: faceFlux(:, :, :, :) integer, intent(in) :: leftPos(nSides), rightPos(nsides) integer, intent(in) :: var(:) !> Direction of the flow, used for background velocity integer, intent(in) :: idir ! -------------------------------------------------------------------------- integer :: iSide, left, right, iDof, iter real(kind=rk) :: leftstate(4), rightstate(4) !> intermediated state on the interface ( in the * region) real(kind=rk) :: dens, velX, velY, p real(kind=rk) :: c, c_inv, c_cube_inv, rho0, rho0_inv, u0 ! -------------------------------------------------------------------------- c = LinearEuler%SpeedOfSound c_inv = 1 / c c_cube_inv = 1 / (c ** 2) rho0 = LinearEuler%density_0 rho0_inv = 1 / rho0 u0 = LinearEuler%velocity_0(iDir) ! loop over all dofs do iter=1,nFaceDofs*nSides iDof = (iter-1)/(nSides)+1 iSide = mod(iter-1,nSides)+1 ! The position of the left and right element in the state ! vector. left = leftPos(iSide) right = rightPos(iSide) leftstate(1) = faceRep(left, iDof, var(1), 2) leftstate(2) = faceRep(left, iDof, var(2), 2) leftstate(3) = faceRep(left, iDof, var(3), 2) leftstate(4) = faceRep(left, iDof, var(4), 2) rightstate(1) = faceRep(right, iDof, var(1), 1) rightstate(2) = faceRep(right, iDof, var(2), 1) rightstate(3) = faceRep(right, iDof, var(3), 1) rightstate(4) = faceRep(right, iDof, var(4), 1) ! density dens = 0.5 * c_cube_inv * (rightstate(4) + leftstate(4) & & + c * rho0 * (leftstate(2) - rightstate(2))) & & + rightstate(1) - rightstate(4) * c_cube_inv ! velocity velX = 0.5 * c_inv * rho0_inv * (leftstate(4) - rightstate(4) & & + c * rho0 * (rightstate(2) + leftstate(2))) ! pressure p = 0.5 * (rightstate(4) + leftstate(4) & & + c * rho0 * (leftstate(2) - rightstate(2))) velY = rightstate(3) ! 1....disturbance in density faceFlux(left, iDof, var(1), 2) = u0 * dens + rho0 * velX ! 2....disturbance velocity in x direction faceFlux(left, iDof, var(2), 2) = u0 * velX + p * rho0_inv ! 2....disturbance velocity in y direction faceFlux(left, iDof, var(3), 2) = u0 * velY ! 5....distrubance in pressure faceFlux(left, iDof, var(4), 2) = u0 * p + LinearEuler%isen_coef & & * LinearEuler%pressure_0 * velX ! Assign the same flux for both adjacent elements faceFlux(right, iDof, var(1), 1) = faceFlux(left, iDof, var(1), 2) faceFlux(right, iDof, var(2), 1) = faceFlux(left, iDof, var(2), 2) faceFlux(right, iDof, var(3), 1) = faceFlux(left, iDof, var(3), 2) faceFlux(right, iDof, var(4), 1) = faceFlux(left, iDof, var(4), 2) end do end subroutine atl_LinearEuler_2d_numFlux_subright ! ****************************************************************************** ! ****************************************************************************** subroutine atl_LinearEuler_2d_numflux_subleft( nSides, nFaceDofs, faceRep, & & faceFlux,leftPos, rightPos, & & var, LinearEuler, iDir ) ! -------------------------------------------------------------------------- !> Datatype for LinearEuler equation include all background data type(atl_LinearEuler_type), intent(in) :: LinearEuler integer, intent(in) :: nFaceDofs, nSides real(kind=rk), intent(in) :: faceRep(:, :, :, :) real(kind=rk), intent(inout) :: faceFlux(:, :, :, :) integer, intent(in) :: leftPos(nSides), rightPos(nsides) integer, intent(in) :: var(:) !> Direction of the flow, used for background velocity integer, intent(in) :: idir ! -------------------------------------------------------------------------- integer :: iSide, left, right, iDof, iter real(kind=rk) :: leftstate(4), rightstate(4) !> intermediated state on the interface ( in the * region) real(kind=rk) :: dens, velX, velY, p real(kind=rk) :: c, c_inv, c_cube_inv, rho0, rho0_inv, u0 ! --------------------------------------------------------------------------- c = LinearEuler%SpeedOfSound c_inv = 1 / c c_cube_inv = 1 / (c ** 2) rho0 = LinearEuler%density_0 rho0_inv = 1 / rho0 u0 = LinearEuler%velocity_0(iDir) ! loop over all dofs do iter=1,nFaceDofs*nSides iDof = (iter-1)/(nSides)+1 iSide = mod(iter-1,nSides)+1 ! The position of the left and right element in the state ! vector. left = leftPos(iSide) right = rightPos(iSide) leftstate(1) = faceRep(left, iDof, var(1), 2) leftstate(2) = faceRep(left, iDof, var(2), 2) leftstate(3) = faceRep(left, iDof, var(3), 2) leftstate(4) = faceRep(left, iDof, var(4), 2) rightstate(1) = faceRep(right, iDof, var(1), 1) rightstate(2) = faceRep(right, iDof, var(2), 1) rightstate(3) = faceRep(right, iDof, var(3), 1) rightstate(4) = faceRep(right, iDof, var(4), 1) ! density dens = 0.5 * c_cube_inv * (rightstate(4) + leftstate(4) & & + c * rho0 * (leftstate(2) - rightstate(2))) & & + leftstate(1) - leftstate(4) * c_cube_inv ! velocity velX = 0.5 * c_inv * rho0_inv * ( leftstate(4) - rightstate(4) & & + c * rho0 * (rightstate(2) + leftstate(2))) ! pressure p = 0.5 * (rightstate(4) + leftstate(4) & & + c * rho0 * (leftstate(2) - rightstate(2))) velY = leftstate(3) ! 1....disturbance in density faceFlux(left, iDof, var(1), 2) = u0 * dens + rho0 * velX ! 2....disturbance velocity in x direction faceFlux(left, iDof, var(2), 2) = u0 * velX + p * rho0_inv ! 2....disturbance velocity in y direction faceFlux(left, iDof, var(3), 2) = u0 * velY ! 5....distrubance in pressure faceFlux(left, iDof, var(4), 2) = u0 * p + LinearEuler%isen_coef & & * LinearEuler%pressure_0 * velX ! Assign the same flux for both adjacent elements faceFlux(right, iDof, var(1), 1) = faceFlux(left, iDof, var(1), 2) faceFlux(right, iDof, var(2), 1) = faceFlux(left, iDof, var(2), 2) faceFlux(right, iDof, var(3), 1) = faceFlux(left, iDof, var(3), 2) faceFlux(right, iDof, var(4), 1) = faceFlux(left, iDof, var(4), 2) end do end subroutine atl_LinearEuler_2d_numFlux_subleft ! ****************************************************************************** ! ****************************************************************************** subroutine atl_LinearEuler_2d_numflux_superright( nSides, nFaceDofs, & & faceRep, faceFlux,leftPos, & & rightPos, var, & & LinearEuler, iDir ) ! -------------------------------------------------------------------------- !> Datatype for LinearEuler equation include all background data type(atl_LinearEuler_type), intent(in) :: LinearEuler integer, intent(in) :: nFaceDofs, nSides real(kind=rk), intent(in) :: faceRep(:, :, :, :) real(kind=rk), intent(inout) :: faceFlux(:, :, :, :) integer, intent(in) :: leftPos(nSides), rightPos(nsides) integer, intent(in) :: var(:) !> Direction of the flow, used for background velocity integer, intent(in) :: idir ! -------------------------------------------------------------------------- integer :: iSide, left, right, iDof, iter !> intermediated state on the interface ( in the * region) real(kind=rk) :: dens, velX, velY, p real(kind=rk) :: rho0, rho0_inv, u0 ! -------------------------------------------------------------------------- rho0 = LinearEuler%density_0 rho0_inv = 1 / rho0 u0 = LinearEuler%velocity_0(iDir) ! loop over all dofs do iter=1,nFaceDofs*nSides iDof = (iter-1)/(nSides)+1 iSide = mod(iter-1,nSides)+1 ! The position of the left and right element in the state ! vector. left = leftPos(iSide) right = rightPos(iSide) ! this is the case when all characteristics are going to the left ! hence the state is always transport from right to left ! which implies the state becomes the state from the right dens = faceRep(right, iDof, var(1), 1) velX = faceRep(right, iDof, var(2), 1) velY = faceRep(right, iDof, var(3), 1) p = faceRep(right, iDof, var(4), 1) ! 1....disturbance in density faceFlux(left, iDof, var(1), 2) = u0 * dens + rho0 * velX ! 2....disturbance velocity in x direction faceFlux(left, iDof, var(2), 2) = u0 * velX + p * rho0_inv ! 2....disturbance velocity in y direction faceFlux(left, iDof, var(3), 2) = u0 * velY ! 5....distrubance in pressure faceFlux(left, iDof, var(4), 2) = u0 * p + LinearEuler%isen_coef & & * LinearEuler%pressure_0 *velX ! Assign the same flux for both adjacent elements faceFlux(right, iDof, var(1), 1) = faceFlux(left, iDof, var(1), 2) faceFlux(right, iDof, var(2), 1) = faceFlux(left, iDof, var(2), 2) faceFlux(right, iDof, var(3), 1) = faceFlux(left, iDof, var(3), 2) faceFlux(right, iDof, var(4), 1) = faceFlux(left, iDof, var(4), 2) end do end subroutine atl_LinearEuler_2d_numFlux_superright ! ****************************************************************************** ! ****************************************************************************** subroutine atl_LinearEuler_2d_numflux_superleft( nSides, nFaceDofs, faceRep, & & faceFlux,leftPos, rightPos, & & var, LinearEuler, iDir ) ! -------------------------------------------------------------------------- !> Datatype for LinearEuler equation include all background data type(atl_LinearEuler_type), intent(in) :: LinearEuler integer, intent(in) :: nFaceDofs, nSides real(kind=rk), intent(in) :: faceRep(:, :, :, :) real(kind=rk), intent(inout) :: faceFlux(:, :, :, :) integer, intent(in) :: leftPos(nSides), rightPos(nsides) integer, intent(in) :: var(:) !> Direction of the flow, used for background velocity integer, intent(in) :: idir ! -------------------------------------------------------------------------- integer :: iSide, left, right, iDof, iter !> intermediated state on the interface ( in the * region) real(kind=rk) :: dens, velX, velY, p real(kind=rk) :: rho0, rho0_inv, u0 ! --------------------------------------------------------------------------- rho0 = LinearEuler%density_0 rho0_inv = 1 / rho0 u0 = LinearEuler%velocity_0(iDir) ! loop over all dofs do iter=1,nFaceDofs*nSides iDof = (iter-1)/(nSides)+1 iSide = mod(iter-1,nSides)+1 ! The position of the left and right element in the state ! vector. left = leftPos(iSide) right = rightPos(iSide) ! this is the case when all characteristics are going to the right ! hence the state is always transport from left to right ! which implies the state becomes the state from the left dens = faceRep(left, iDof, var(1), 2) velX = faceRep(left, iDof, var(2), 2) velY = faceRep(left, iDof, var(3), 2) p = faceRep(left, iDof, var(4), 2) ! 1....disturbance in density faceFlux(left, iDof, var(1), 2) = u0 * dens + rho0 * velX ! 2....disturbance velocity in x direction faceFlux(left, iDof, var(2), 2) = u0 * velX + p * rho0_inv ! 2....disturbance velocity in y direction faceFlux(left, iDof, var(3), 2) = u0 * velY ! 5....distrubance in pressure faceFlux(left, iDof, var(4), 2) = u0 * p + LinearEuler%isen_coef & & * LinearEuler%pressure_0 * velX ! Assign the same flux for both adjacent elements faceFlux(right, iDof, var(1), 1) = faceFlux(left, iDof, var(1), 2) faceFlux(right, iDof, var(2), 1) = faceFlux(left, iDof, var(2), 2) faceFlux(right, iDof, var(3), 1) = faceFlux(left, iDof, var(3), 2) faceFlux(right, iDof, var(4), 1) = faceFlux(left, iDof, var(4), 2) end do end subroutine atl_LinearEuler_2d_numFlux_superleft ! ****************************************************************************** end module atl_LinearEuler_2d_numflux_module