krylov.f90

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module krylov
  use gather_scatter, only : gs_t, gs_op_add
  use ax_product, only : ax_t
  use num_types, only: rp, c_rp
  use precon, only : pc_t
  use coefs, only : coef_t
  use mesh, only : mesh_t
  use field, only : field_t
  use utils, only : neko_error, neko_warning
  use bc_list, only : bc_list_t
  use identity, only : ident_t
  use device_identity, only : device_ident_t
  use neko_config, only : neko_bcknd_device
  use logger, only : neko_log, log_size
  implicit none
  private
 
  integer, public, parameter :: ksp_max_iter = 1e3 
  real(kind=rp), public, parameter :: ksp_abs_tol = 1d-9 
  real(kind=rp), public, parameter :: ksp_rel_tol = 1d-9 
 
  type, public :: ksp_monitor_t
     integer :: iter
     real(kind=rp) :: res_start
     real(kind=rp) :: res_final
     logical :: converged = .false.
  end type ksp_monitor_t
  type, public :: ksp_monitor_t …
 
  type, public, abstract :: ksp_t
     class(pc_t), pointer :: m => null() 
     real(kind=rp) :: rel_tol 
     real(kind=rp) :: abs_tol 
     integer :: max_iter
     class(pc_t), allocatable :: m_ident
     logical :: monitor
   contains
     procedure(ksp_init_intrf), deferred, pass(this) :: init
     procedure, pass(this) :: ksp_init => krylov_init
     procedure, pass(this) :: ksp_free => krylov_free
     procedure, pass(this) :: set_pc => krylov_set_pc
     procedure(ksp_method), pass(this), deferred :: solve
     procedure(ksp_method_coupled), pass(this), deferred :: solve_coupled
     procedure, pass(this) :: monitor_start => krylov_monitor_start
     procedure, pass(this) :: monitor_stop => krylov_monitor_stop
     procedure, pass(this) :: monitor_iter => krylov_monitor_iter
     procedure, pass(this) :: is_converged => krylov_is_converged
     procedure(ksp_t_free), pass(this), deferred :: free
  end type ksp_t
  type, public, abstract :: ksp_t …
 
  abstract interface
     subroutine ksp_init_intrf(this, n, max_iter, M, rel_tol, abs_tol, monitor)
       import :: pc_t, ksp_t, rp
       implicit none
       class(ksp_t), target, intent(inout) :: this
       integer, intent(in) :: max_iter
       class(pc_t), optional, intent(in), target :: M
       integer, intent(in) :: n
       real(kind=rp), optional, intent(in) :: rel_tol
       real(kind=rp), optional, intent(in) :: abs_tol
       logical, optional, intent(in) :: monitor
     subroutine ksp_init_intrf(this, n, max_iter, M, rel_tol, abs_tol, monitor) …
     end subroutine ksp_init_intrf
  end interface
 
  abstract interface
     function ksp_method(this, Ax, x, f, n, coef, blst, gs_h, niter) &
          result(ksp_results)
       import :: bc_list_t
       import :: field_t
       import :: ksp_t
       import :: coef_t
       import :: gs_t
       import :: ax_t
       import :: ksp_monitor_t
       import rp
       implicit none
       class(ksp_t), intent(inout) :: this
       class(ax_t), intent(in) :: ax
       type(field_t), intent(inout) :: x
       integer, intent(in) :: n
       real(kind=rp), dimension(n), intent(in) :: f
       type(coef_t), intent(inout) :: coef
       type(bc_list_t), intent(inout) :: blst
       type(gs_t), intent(inout) :: gs_h
       integer, optional, intent(in) :: niter
       type(ksp_monitor_t) :: ksp_results
     function ksp_method(this, Ax, x, f, n, coef, blst, gs_h, niter) & …
     end function ksp_method
  end interface
 
  abstract interface
     function ksp_method_coupled(this, Ax, x, y, z, fx, fy, fz, &
          n, coef, blstx, blsty, blstz, gs_h, niter) result(ksp_results)
       import :: bc_list_t
       import :: field_t
       import :: ksp_t
       import :: coef_t
       import :: gs_t
       import :: ax_t
       import :: ksp_monitor_t
       import rp
       implicit none
       class(ksp_t), intent(inout) :: this
       class(ax_t), intent(in) :: ax
       type(field_t), intent(inout) :: x
       type(field_t), intent(inout) :: y
       type(field_t), intent(inout) :: z
       integer, intent(in) :: n
       real(kind=rp), dimension(n), intent(in) :: fx
       real(kind=rp), dimension(n), intent(in) :: fy
       real(kind=rp), dimension(n), intent(in) :: fz
       type(coef_t), intent(inout) :: coef
       type(bc_list_t), intent(inout) :: blstx
       type(bc_list_t), intent(inout) :: blsty
       type(bc_list_t), intent(inout) :: blstz
       type(gs_t), intent(inout) :: gs_h
       integer, optional, intent(in) :: niter
       type(ksp_monitor_t), dimension(3) :: ksp_results
     function ksp_method_coupled(this, Ax, x, y, z, fx, fy, fz, & …
     end function ksp_method_coupled
  end interface
 
  abstract interface
     subroutine ksp_t_free(this)
       import :: ksp_t
       class(ksp_t), intent(inout) :: this
     subroutine ksp_t_free(this) …
     end subroutine ksp_t_free
  end interface
 
  interface
 
     module subroutine krylov_solver_factory(object, n, type_name, &
          max_iter, abstol, m, monitor)
       class(ksp_t), allocatable, intent(inout) :: object
       integer, intent(in), value :: n
       character(len=*), intent(in) :: type_name
       integer, intent(in) :: max_iter
       real(kind=rp), optional :: abstol
       class(pc_t), optional, intent(in), target :: m
       logical, optional, intent(in) :: monitor
     end subroutine krylov_solver_factory
 
  end interface
 
  public :: krylov_solver_factory
contains
 
  subroutine krylov_init(this, max_iter, rel_tol, abs_tol, M, monitor)
    class(ksp_t), target, intent(inout) :: this
    integer, intent(in) :: max_iter
    real(kind=rp), optional, intent(in) :: rel_tol
    real(kind=rp), optional, intent(in) :: abs_tol
    class(pc_t), optional, target, intent(in) :: m
    logical, optional, intent(in) :: monitor
 
    call krylov_free(this)
 
    if (present(rel_tol)) then
       this%rel_tol = rel_tol
    else
       this%rel_tol = ksp_rel_tol
    end if
 
    if (present(abs_tol)) then
       this%abs_tol = abs_tol
    else
       this%abs_tol = ksp_abs_tol
    end if
 
    this%max_iter = max_iter
 
    if (present(m)) then
       this%M => m
    else
       if (.not. associated(this%M)) then
          if (neko_bcknd_device .eq. 1) then
             allocate(device_ident_t::this%M_ident)
          else
             allocate(ident_t::this%M_ident)
          end if
          this%M => this%M_ident
       end if
    end if
 
    if (present(monitor)) then
       this%monitor = monitor
    else
       this%monitor = .false.
    end if
 
  subroutine krylov_init(this, max_iter, rel_tol, abs_tol, M, monitor) …
  end subroutine krylov_init
 
  subroutine krylov_free(this)
    class(ksp_t), intent(inout) :: this
 
 
  subroutine krylov_free(this) …
  end subroutine krylov_free
 
  subroutine krylov_set_pc(this, M)
    class(ksp_t), intent(inout) :: this
    class(pc_t), target, intent(in) :: M
 
    if (associated(this%M)) then
       select type (pc => this%M)
       type is (ident_t)
       type is (device_ident_t)
       class default
          call neko_error('Preconditioner already defined')
       end select
    end if
 
    this%M => m
 
  subroutine krylov_set_pc(this, M) …
  end subroutine krylov_set_pc
 
  subroutine krylov_monitor_start(this, name)
    class(ksp_t), intent(in) :: this
    character(len=*) :: name
    character(len=LOG_SIZE) :: log_buf
 
    if (this%monitor) then
       write(log_buf, '(A)') 'Krylov monitor (' // trim(name) // ')'
       call neko_log%section(trim(log_buf))
       call neko_log%newline()
       call neko_log%begin()
       write(log_buf, '(A)') ' Iter.       Residual'
       call neko_log%message(log_buf)
       write(log_buf, '(A)') '---------------------'
       call neko_log%message(log_buf)
    end if
  subroutine krylov_monitor_start(this, name) …
  end subroutine krylov_monitor_start
 
  subroutine krylov_monitor_stop(this)
    class(ksp_t), intent(in) :: this
 
    if (this%monitor) then
       call neko_log%end()
       call neko_log%end_section()
       call neko_log%newline()
    end if
  subroutine krylov_monitor_stop(this) …
  end subroutine krylov_monitor_stop
 
 
  subroutine krylov_monitor_iter(this, iter, rnorm)
    class(ksp_t), intent(in) :: this
    integer, intent(in) :: iter
    real(kind=rp), intent(in) :: rnorm
    character(len=LOG_SIZE) :: log_buf
 
    if (this%monitor) then
       write(log_buf, '(I6,E15.7)') iter, rnorm
       call neko_log%message(log_buf)
    end if
 
  subroutine krylov_monitor_iter(this, iter, rnorm) …
  end subroutine krylov_monitor_iter
 
  pure function krylov_is_converged(this, iter, residual) result(converged)
    class(ksp_t), intent(in) :: this
    integer, intent(in) :: iter
    real(kind=rp), intent(in) :: residual
    logical :: converged
 
    converged = .true.
    if (iter .ge. this%max_iter) converged = .false.
    if (residual .gt. this%abs_tol) converged = .false.
 
  pure function krylov_is_converged(this, iter, residual) result(converged) …
  end function krylov_is_converged
 
end module krylov