runge_kutta_scheme.f90

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module runge_kutta_time_scheme
  use neko_config, only : neko_bcknd_device
  use num_types, only : rp
  use time_scheme, only: time_scheme_t
  use math, only : rzero
  use utils, only : neko_error
  use device, only : device_free, device_map, device_memcpy, host_to_device
  use, intrinsic :: iso_c_binding, only : c_ptr, c_associated, c_null_ptr
  implicit none
  private
 
  type, public :: runge_kutta_time_scheme_t
     real(kind=rp), allocatable :: coeffs_a(:, :)
     real(kind=rp), allocatable :: coeffs_b(:)
     real(kind=rp), allocatable :: coeffs_c(:)
     type(c_ptr) :: coeffs_a_d = c_null_ptr
     type(c_ptr) :: coeffs_b_d = c_null_ptr
     type(c_ptr) :: coeffs_c_d = c_null_ptr
     integer :: order
   contains
     procedure, pass(this) :: init => runge_kutta_scheme_coeffs_init
     procedure, pass(this) :: free => runge_kutta_scheme_coeffs_free
  end type runge_kutta_time_scheme_t
  type, public :: runge_kutta_time_scheme_t …
 
contains
  subroutine runge_kutta_scheme_coeffs_init(this, order)
    class(runge_kutta_time_scheme_t), intent(inout) :: this
    integer, intent(in) :: order
    integer :: s
 
    ! Assume number of stages is equal to the order
    s = order
    this%order = order
    allocate(this%coeffs_A(order, order))
    allocate(this%coeffs_b(order))
    allocate(this%coeffs_c(order))
 
    associate( &
         coeffs_a => this%coeffs_A, &
         coeffs_b => this%coeffs_b, &
         coeffs_c => this%coeffs_c, &
         coeffs_a_d => this%coeffs_A_d, &
         coeffs_b_d => this%coeffs_b_d, &
         coeffs_c_d => this%coeffs_c_d)
 
      if (neko_bcknd_device .eq. 1) then
         call device_map(coeffs_a, coeffs_a_d, s)
         call device_map(coeffs_b, coeffs_b_d, s)
         call device_map(coeffs_c, coeffs_c_d, s)
      end if
 
      select case (order)
      case (1)
         coeffs_a(1, 1) = 0.0_rp
         coeffs_b(1) = 1.0_rp
         coeffs_c(1) = 0.0_rp
      case (2)
         coeffs_a = 0.0_rp
         coeffs_a(2, 1) = 1.0_rp
 
         coeffs_b(1) = 0.5_rp
         coeffs_b(2) = 0.5_rp
 
         coeffs_c(1) = 0.0_rp
         coeffs_c(2) = 1.0_rp
      case (3)
         coeffs_a = 0.0_rp
         coeffs_a(2, 1) = 1.0_rp
         coeffs_a(3, 1) = 0.25_rp
         coeffs_a(3, 2) = 0.25_rp
 
         coeffs_b(1) = 1.0_rp / 6.0_rp
         coeffs_b(2) = 1.0_rp / 6.0_rp
         coeffs_b(3) = 2.0_rp / 3.0_rp
 
         coeffs_c(1) = 0.0_rp
         coeffs_c(2) = 1.0_rp
         coeffs_c(3) = 0.5_rp
      case (4)
         coeffs_a = 0.0_rp
         coeffs_a(2, 1) = 0.5_rp
         coeffs_a(3, 2) = 0.5_rp
         coeffs_a(4, 3) = 1.0_rp
 
         coeffs_b(1) = 1.0_rp / 6.0_rp
         coeffs_b(2) = 1.0_rp / 3.0_rp
         coeffs_b(3) = 1.0_rp / 3.0_rp
         coeffs_b(4) = 1.0_rp / 6.0_rp
 
         coeffs_c(1) = 0.0_rp
         coeffs_c(2) = 0.5_rp
         coeffs_c(3) = 0.5_rp
         coeffs_c(4) = 1.0_rp
      case default
         call neko_error("The time order must be 1 to 4.")
      end select
 
      if (c_associated(coeffs_a_d)) then
         call device_memcpy(coeffs_a, coeffs_a_d, s, &
              host_to_device, sync = .false.)
      end if
 
      if (c_associated(coeffs_b_d)) then
         call device_memcpy(coeffs_b, coeffs_b_d, s, &
              host_to_device, sync = .false.)
      end if
 
      if (c_associated(coeffs_c_d)) then
         call device_memcpy(coeffs_c, coeffs_c_d, s, &
              host_to_device, sync = .false.)
      end if
    end associate
 
  subroutine runge_kutta_scheme_coeffs_init(this, order) …
  end subroutine runge_kutta_scheme_coeffs_init
 
  subroutine runge_kutta_scheme_coeffs_free(this)
    implicit none
    class(runge_kutta_time_scheme_t) :: this
 
    if (c_associated(this%coeffs_A_d)) then
       call device_free(this%coeffs_A_d)
    end if
    if (c_associated(this%coeffs_b_d)) then
       call device_free(this%coeffs_b_d)
    end if
    if (c_associated(this%coeffs_c_d)) then
       call device_free(this%coeffs_c_d)
    end if
  subroutine runge_kutta_scheme_coeffs_free(this) …
  end subroutine runge_kutta_scheme_coeffs_free
 
end module runge_kutta_time_scheme