non_normal.f90

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module non_normal
  use symmetry, only : symmetry_t
  use num_types, only : rp
  use tuple, only : tuple_i4_t
  use coefs, only : coef_t
  use, intrinsic :: iso_c_binding
  implicit none
  private
 
  type, public, extends(symmetry_t) :: non_normal_t
   contains
     procedure, pass(this) :: init => non_normal_init
     procedure, pass(this) :: free => non_normal_free
  end type non_normal_t
 
contains
 
  subroutine non_normal_init(this, coef)
    class(non_normal_t), intent(inout) :: this
    type(coef_t), target, intent(in) :: coef
    integer :: i, j, l
    type(tuple_i4_t), pointer :: bfp(:)
    real(kind=rp) :: sx, sy, sz
    real(kind=rp), parameter :: tol = 1d-3
    type(tuple_i4_t) :: bc_facet
    integer :: facet, el
 
    call this%bc_x%free()
    call this%bc_y%free()
    call this%bc_z%free()
    call this%bc_x%init_base(this%coef)
    call this%bc_y%init_base(this%coef)
    call this%bc_z%init_base(this%coef)
 
    associate(c => this%coef, nx => this%coef%nx, ny => this%coef%ny, &
              nz => this%coef%nz)
      bfp => this%marked_facet%array()
      do i = 1, this%marked_facet%size()
         bc_facet = bfp(i)
         facet = bc_facet%x(1)
         el = bc_facet%x(2)
         sx = 0d0
         sy = 0d0
         sz = 0d0
         select case (facet)
         case (1, 2)
            do l = 2, c%Xh%lx - 1
               do j = 2, c%Xh%lx -1
                  sx = sx + abs(abs(nx(l, j, facet, el)) - 1d0)
                  sy = sy + abs(abs(ny(l, j, facet, el)) - 1d0)
                  sz = sz + abs(abs(nz(l, j, facet, el)) - 1d0)
               end do
            end do
         case (3, 4)
            do l = 2, c%Xh%lx - 1
               do j = 2, c%Xh%lx - 1
                  sx = sx + abs(abs(nx(l, j, facet, el)) - 1d0)
                  sy = sy + abs(abs(ny(l, j, facet, el)) - 1d0)
                  sz = sz + abs(abs(nz(l, j, facet, el)) - 1d0)
               end do
            end do
         case (5, 6)
            do l = 2, c%Xh%lx - 1
               do j = 2, c%Xh%lx - 1
                  sx = sx + abs(abs(nx(l, j, facet, el)) - 1d0)
                  sy = sy + abs(abs(ny(l, j, facet, el)) - 1d0)
                  sz = sz + abs(abs(nz(l, j, facet, el)) - 1d0)
               end do
            end do
         end select
         sx = sx / (c%Xh%lx - 2)**2
         sy = sy / (c%Xh%lx - 2)**2
         sz = sz / (c%Xh%lx - 2)**2
 
         if (sx .lt. tol) then
            call this%bc_y%mark_facet(facet, el)
            call this%bc_z%mark_facet(facet, el)
         end if
 
         if (sy .lt. tol) then
            call this%bc_x%mark_facet(facet, el)
            call this%bc_z%mark_facet(facet, el)
         end if
 
         if (sz .lt. tol) then
            call this%bc_y%mark_facet(facet, el)
            call this%bc_x%mark_facet(facet, el)
         end if
      end do
    end associate
    call this%bc_x%finalize()
    call this%bc_x%set_g(0.0_rp)
    call this%bc_y%finalize()
    call this%bc_y%set_g(0.0_rp)
    call this%bc_z%finalize()
    call this%bc_z%set_g(0.0_rp)
  end subroutine non_normal_init
 
  subroutine non_normal_free(this)
    class(non_normal_t), target, intent(inout) :: this
 
    call this%symmetry_t%free()
  end subroutine non_normal_free
end module non_normal