! //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// ! ! ! Maintainers : support@fluidnumerics.com ! Official Repository : https://github.com/FluidNumerics/self/ ! ! Copyright © 2024 Fluid Numerics LLC ! ! Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: ! ! 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. ! ! 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in ! the documentation and/or other materials provided with the distribution. ! ! 3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from ! this software without specific prior written permission. ! ! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS “AS IS” AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT ! LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT ! HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT ! LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY ! THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF ! THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ! ! //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// ! module self_advection_diffusion_3d_t use self_model use self_dgmodel3d use self_mesh implicit none type,extends(dgmodel3d) :: advection_diffusion_3d_t real(prec) :: nu ! diffusion coefficient real(prec) :: u ! constant x-component of velocity real(prec) :: v ! constant y-component of velocity real(prec) :: w ! constant z-component of velocity contains procedure :: riemannflux3d => riemannflux3d_advection_diffusion_3d_t procedure :: flux3d => flux3d_advection_diffusion_3d_t procedure :: entropy_func => entropy_func_advection_diffusion_3d_t endtype advection_diffusion_3d_t contains pure function entropy_func_advection_diffusion_3d_t(this,s) result(e) class(advection_diffusion_3d_t),intent(in) :: this real(prec),intent(in) :: s(1:this%solution%nvar) real(prec) :: e ! Local integer :: ivar e = 0.0_prec do ivar = 1,this%solution%nvar e = e+0.5_prec*s(ivar)*s(ivar) enddo endfunction entropy_func_advection_diffusion_3d_t pure function flux3d_advection_diffusion_3d_t(this,s,dsdx) result(flux) class(advection_diffusion_3d_t),intent(in) :: this real(prec),intent(in) :: s(1:this%solution%nvar) real(prec),intent(in) :: dsdx(1:this%solution%nvar,1:3) real(prec) :: flux(1:this%solution%nvar,1:3) ! Local integer :: ivar do ivar = 1,this%solution%nvar flux(ivar,1) = this%u*s(ivar)-this%nu*dsdx(ivar,1) ! advective flux + diffusive flux flux(ivar,2) = this%v*s(ivar)-this%nu*dsdx(ivar,2) ! advective flux + diffusive flux flux(ivar,3) = this%w*s(ivar)-this%nu*dsdx(ivar,3) ! advective flux + diffusive flux enddo endfunction flux3d_advection_diffusion_3d_t pure function riemannflux3d_advection_diffusion_3d_t(this,sL,sR,dsdx,nhat) result(flux) class(advection_diffusion_3d_t),intent(in) :: this real(prec),intent(in) :: sL(1:this%nvar) real(prec),intent(in) :: sR(1:this%nvar) real(prec),intent(in) :: dsdx(1:this%nvar,1:3) real(prec),intent(in) :: nhat(1:3) real(prec) :: flux(1:this%nvar) ! Local integer :: ivar real(prec) :: un,dsdn un = this%u*nhat(1)+this%v*nhat(2)+this%w*nhat(3) do ivar = 1,this%nvar dsdn = dsdx(ivar,1)*nhat(1)+dsdx(ivar,2)*nhat(2)+dsdx(ivar,3)*nhat(3) flux(ivar) = 0.5_prec*( & (sL(ivar)+sR(ivar))+abs(un)*(sL(ivar)-sR(ivar)))- & ! advective flux this%nu*dsdn enddo endfunction riemannflux3d_advection_diffusion_3d_t endmodule self_advection_diffusion_3d_t