pnpn_res_stress_cpu.f90

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module pnpn_res_stress_cpu
  use gather_scatter, only : gs_t, gs_op_add
  use operators, only : dudxyz, cdtp, curl, opgrad, strain_rate
  use field, only : field_t
  use ax_product, only : ax_t
  use coefs, only : coef_t
  use facet_normal, only : facet_normal_t
  use pnpn_residual, only : pnpn_prs_res_t, pnpn_vel_res_t
  use scratch_registry, only: neko_scratch_registry
  use mesh, only : mesh_t
  use num_types, only : rp
  use space, only : space_t
  use math, only : rzero, vdot3, cmult, sub2, col2, copy, cfill, invers2, cmult2
  implicit none
  private
 
  type, public, extends(pnpn_prs_res_t) :: pnpn_prs_res_stress_cpu_t
   contains
     procedure, nopass :: compute => pnpn_prs_res_stress_cpu_compute
  end type pnpn_prs_res_stress_cpu_t
 
  type, public, extends(pnpn_vel_res_t) :: pnpn_vel_res_stress_cpu_t
   contains
     procedure, nopass :: compute => pnpn_vel_res_stress_cpu_compute
  end type pnpn_vel_res_stress_cpu_t
 
contains
 
  subroutine pnpn_prs_res_stress_cpu_compute(p, p_res, u, v, w, u_e, v_e, w_e,&
       f_x, f_y, f_z, c_Xh, gs_Xh, bc_prs_surface, bc_sym_surface, Ax, bd, dt,&
       mu, rho)
    type(field_t), intent(inout) :: p, u, v, w
    type(field_t), intent(inout) :: u_e, v_e, w_e
    type(field_t), intent(inout) :: p_res
    type(field_t), intent(inout) :: f_x, f_y, f_z
    type(coef_t), intent(inout) :: c_Xh
    type(gs_t), intent(inout) :: gs_Xh
    type(facet_normal_t), intent(inout) :: bc_prs_surface
    type(facet_normal_t), intent(inout) :: bc_sym_surface
    class(ax_t), intent(inout) :: Ax
    real(kind=rp), intent(inout) :: bd
    real(kind=rp), intent(in) :: dt
    type(field_t), intent(in) :: mu
    type(field_t), intent(in) :: rho
    real(kind=rp) :: dtbd
    integer :: n, nelv, lxyz
    integer :: i, e
    ! Work arrays
    type(field_t), pointer :: ta1, ta2, ta3, wa1, wa2, wa3, work1, work2, work3
    type(field_t), pointer :: s11, s22, s33, s12, s13, s23
    integer :: temp_indices(15)
 
    ! Work arrays
    call neko_scratch_registry%request_field(ta1, temp_indices(1))
    call neko_scratch_registry%request_field(ta2, temp_indices(2))
    call neko_scratch_registry%request_field(ta3, temp_indices(3))
    call neko_scratch_registry%request_field(wa1, temp_indices(4))
    call neko_scratch_registry%request_field(wa2, temp_indices(5))
    call neko_scratch_registry%request_field(wa3, temp_indices(6))
    call neko_scratch_registry%request_field(work1, temp_indices(7))
    call neko_scratch_registry%request_field(work2, temp_indices(8))
    call neko_scratch_registry%request_field(work3, temp_indices(9))
 
   ! Stress tensor
    call neko_scratch_registry%request_field(s11, temp_indices(10))
    call neko_scratch_registry%request_field(s22, temp_indices(11))
    call neko_scratch_registry%request_field(s33, temp_indices(12))
    call neko_scratch_registry%request_field(s12, temp_indices(13))
    call neko_scratch_registry%request_field(s13, temp_indices(14))
    call neko_scratch_registry%request_field(s23, temp_indices(15))
 
    n = c_xh%dof%size()
    lxyz = c_xh%Xh%lxyz
    nelv = c_xh%msh%nelv
 
    call invers2(c_xh%h1, rho%x, n)
    call rzero(c_xh%h2, n)
    c_xh%ifh2 = .false.
 
    ! mu times the double curl of the velocity
    call curl(ta1, ta2, ta3, u_e, v_e, w_e, work1, work2, c_xh)
    call curl(wa1, wa2, wa3, ta1, ta2, ta3, work1, work2, c_xh)
 
    call col2(wa1%x, mu%x, n)
    call col2(wa2%x, mu%x, n)
    call col2(wa3%x, mu%x, n)
 
 
    ! The strain rate tensor
    call strain_rate(s11%x, s22%x, s33%x, s12%x, s13%x, s23%x, &
                     u_e, v_e, w_e, c_xh)
 
 
    ! Gradient of viscosity * 2
    call dudxyz(ta1%x, mu%x, c_xh%drdx, c_xh%dsdx, c_xh%dtdx, c_xh)
    call dudxyz(ta2%x, mu%x, c_xh%drdy, c_xh%dsdy, c_xh%dtdy, c_xh)
    call dudxyz(ta3%x, mu%x, c_xh%drdz, c_xh%dsdz, c_xh%dtdz, c_xh)
 
    call cmult(ta1%x, 2.0_rp, n)
    call cmult(ta2%x, 2.0_rp, n)
    call cmult(ta3%x, 2.0_rp, n)
 
    ! S^T grad \mu
    do e = 1, nelv
       call vdot3(work1%x(:, :, :, e), &
                  ta1%x(:, :, :, e), ta2%x(:, :, :, e), ta3%x(:, :, :, e), &
                  s11%x(:, :, :, e), s12%x(:, :, :, e), s13%x(:, :, :, e), &
                  lxyz)
 
       call vdot3 (work2%x(:, :, :, e), &
                   ta1%x(:, :, :, e), ta2%x(:, :, :, e), ta3%x(:, :, :, e), &
                   s12%x(:, :, :, e), s22%x(:, :, :, e), s23%x(:, :, :, e), &
                   lxyz)
 
       call vdot3 (work3%x(:, :, :, e), &
                   ta1%x(:, :, :, e), ta2%x(:, :, :, e), ta3%x(:, :, :, e), &
                   s13%x(:, :, :, e), s23%x(:, :, :, e), s33%x(:, :, :, e), &
                   lxyz)
    end do
 
    ! Subtract the two terms of the viscous stress to get
    ! \nabla x \nabla u - S^T \nabla \mu
    ! The sign is consitent with the fact that we subtract the term
    ! below.
    call sub2(wa1%x, work1%x, n)
    call sub2(wa2%x, work2%x, n)
    call sub2(wa3%x, work3%x, n)
 
    do concurrent(i = 1:n)
        ta1%x(i,1,1,1) = f_x%x(i,1,1,1) / rho%x(i,1,1,1) &
             - ((wa1%x(i,1,1,1) / rho%x(i,1,1,1)) * c_xh%B(i,1,1,1))
        ta2%x(i,1,1,1) = f_y%x(i,1,1,1) / rho%x(i,1,1,1) &
             - ((wa2%x(i,1,1,1) / rho%x(i,1,1,1)) * c_xh%B(i,1,1,1))
        ta3%x(i,1,1,1) = f_z%x(i,1,1,1) / rho%x(i,1,1,1) &
             - ((wa3%x(i,1,1,1) / rho%x(i,1,1,1)) * c_xh%B(i,1,1,1))
    end do
 
    call gs_xh%op(ta1, gs_op_add)
    call gs_xh%op(ta2, gs_op_add)
    call gs_xh%op(ta3, gs_op_add)
 
    do i = 1, n
       ta1%x(i,1,1,1) = ta1%x(i,1,1,1) * c_xh%Binv(i,1,1,1)
       ta2%x(i,1,1,1) = ta2%x(i,1,1,1) * c_xh%Binv(i,1,1,1)
       ta3%x(i,1,1,1) = ta3%x(i,1,1,1) * c_xh%Binv(i,1,1,1)
    end do
 
    ! Compute the components of the divergence of the rhs
    call cdtp(wa1%x, ta1%x, c_xh%drdx, c_xh%dsdx, c_xh%dtdx, c_xh)
    call cdtp(wa2%x, ta2%x, c_xh%drdy, c_xh%dsdy, c_xh%dtdy, c_xh)
    call cdtp(wa3%x, ta3%x, c_xh%drdz, c_xh%dsdz, c_xh%dtdz, c_xh)
 
    ! The laplacian of the pressure
    call ax%compute(p_res%x, p%x, c_xh, p%msh, p%Xh)
 
    do i = 1, n
       p_res%x(i,1,1,1) = (-p_res%x(i,1,1,1)) &
                        + wa1%x(i,1,1,1) + wa2%x(i,1,1,1) + wa3%x(i,1,1,1)
    end do
 
    !
    ! Surface velocity terms
    !
    do i = 1, n
       wa1%x(i,1,1,1) = 0.0_rp
       wa2%x(i,1,1,1) = 0.0_rp
       wa3%x(i,1,1,1) = 0.0_rp
    end do
 
    call bc_sym_surface%apply_surfvec(wa1%x, wa2%x, wa3%x, ta1%x, ta2%x, ta3%x,&
                                      n)
 
    dtbd = bd / dt
    do i = 1, n
       ta1%x(i,1,1,1) = 0.0_rp
       ta2%x(i,1,1,1) = 0.0_rp
       ta3%x(i,1,1,1) = 0.0_rp
    end do
 
    call bc_prs_surface%apply_surfvec(ta1%x, ta2%x, ta3%x, u%x, v%x, w%x, n)
 
    do i = 1, n
       p_res%x(i,1,1,1) = p_res%x(i,1,1,1) &
            - (dtbd * (ta1%x(i,1,1,1) + ta2%x(i,1,1,1) + ta3%x(i,1,1,1)))&
            - (wa1%x(i,1,1,1) + wa2%x(i,1,1,1) + wa3%x(i,1,1,1))
    end do
 
    call neko_scratch_registry%relinquish_field(temp_indices)
 
  end subroutine pnpn_prs_res_stress_cpu_compute
 
  subroutine pnpn_vel_res_stress_cpu_compute(Ax, u, v, w, u_res, v_res, w_res, &
       p, f_x, f_y, f_z, c_Xh, msh, Xh, mu, rho, bd, dt, n)
    class(ax_t), intent(in) :: Ax
    type(mesh_t), intent(inout) :: msh
    type(space_t), intent(inout) :: Xh
    type(field_t), intent(inout) :: p, u, v, w
    type(field_t), intent(inout) :: u_res, v_res, w_res
    type(field_t), intent(inout) :: f_x, f_y, f_z
    type(coef_t), intent(inout) :: c_Xh
    type(field_t), intent(in) :: mu
    type(field_t), intent(in) :: rho
    real(kind=rp), intent(in) :: bd
    real(kind=rp), intent(in) :: dt
    integer :: temp_indices(3)
    type(field_t), pointer :: ta1, ta2, ta3
    integer, intent(in) :: n
    integer :: i
 
    call copy(c_xh%h1, mu%x, n)
    call cmult2(c_xh%h2, rho%x, bd / dt, n)
    c_xh%ifh2 = .true.
 
    ! Viscous stresses
    call ax%compute_vector(u_res%x, v_res%x, w_res%x, u%x, v%x, w%x, c_xh,&
                                msh, xh)
 
    call neko_scratch_registry%request_field(ta1, temp_indices(1))
    call neko_scratch_registry%request_field(ta2, temp_indices(2))
    call neko_scratch_registry%request_field(ta3, temp_indices(3))
 
    ! Pressure gradient
    call opgrad(ta1%x, ta2%x, ta3%x, p%x, c_xh)
 
    ! Sum all the terms
    do i = 1, n
       u_res%x(i,1,1,1) = (-u_res%x(i,1,1,1)) - ta1%x(i,1,1,1) + f_x%x(i,1,1,1)
       v_res%x(i,1,1,1) = (-v_res%x(i,1,1,1)) - ta2%x(i,1,1,1) + f_y%x(i,1,1,1)
       w_res%x(i,1,1,1) = (-w_res%x(i,1,1,1)) - ta3%x(i,1,1,1) + f_z%x(i,1,1,1)
    end do
 
    call neko_scratch_registry%relinquish_field(temp_indices)
 
  end subroutine pnpn_vel_res_stress_cpu_compute
 
end module pnpn_res_stress_cpu