rough_log_law.f90

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module rough_log_law
  use field, only: field_t
  use num_types, only : rp
  use json_module, only : json_file
  use dofmap, only : dofmap_t
  use coefs, only : coef_t
  use neko_config, only : neko_bcknd_device
  use wall_model, only : wall_model_t
  use field_registry, only : neko_field_registry
  use json_utils, only : json_get_or_default, json_get
  use utils, only : neko_error
  implicit none
  private
 
  type, public, extends(wall_model_t) :: rough_log_law_t
 
     real(kind=rp) :: kappa = 0.41_rp
     real(kind=rp) :: b = 0.0_rp
     real(kind=rp) :: z0 = 0.0_rp
   contains
     procedure, pass(this) :: init => rough_log_law_init
     procedure, pass(this) :: init_from_components => &
       rough_log_law_init_from_components
     procedure, pass(this) :: free => rough_log_law_free
     procedure, pass(this) :: compute => rough_log_law_compute
  end type rough_log_law_t
 
contains
  subroutine rough_log_law_init(this, coef, msk, facet, nu, h_index, json)
    class(rough_log_law_t), intent(inout) :: this
    type(coef_t), intent(in) :: coef
    integer, intent(in) :: msk(:)
    integer, intent(in) :: facet(:)
    real(kind=rp), intent(in) :: nu
    integer, intent(in) :: h_index
    type(json_file), intent(inout) :: json
    real(kind=rp) :: kappa, b, z0
 
    call json_get_or_default(json, "kappa", kappa, 0.41_rp)
    call json_get(json, "B", b)
    call json_get(json, "z0", z0)
 
    call this%init_from_components(coef, msk, facet, nu, h_index, kappa, b, z0)
  end subroutine rough_log_law_init
 
  subroutine rough_log_law_init_from_components(this, coef, msk, facet,&
                                                nu, h_index, kappa, B, z0)
    class(rough_log_law_t), intent(inout) :: this
    type(coef_t), intent(in) :: coef
    integer, intent(in) :: msk(:)
    integer, intent(in) :: facet(:)
    real(kind=rp), intent(in) :: nu
    integer, intent(in) :: h_index
    real(kind=rp), intent(in) :: kappa
    real(kind=rp), intent(in) :: b
    real(kind=rp), intent(in) :: z0
 
    if (neko_bcknd_device .eq. 1) then
       call neko_error("The rough loglaw is only available on the CPU backend.")
    end if
 
    call this%init_base(coef, msk, facet, nu, h_index)
 
    this%kappa = kappa
    this%B = b
    this%z0 = z0
 
  end subroutine rough_log_law_init_from_components
 
  subroutine rough_log_law_free(this)
    class(rough_log_law_t), intent(inout) :: this
 
    call this%free_base()
 
  end subroutine rough_log_law_free
 
  subroutine rough_log_law_compute(this, t, tstep)
    class(rough_log_law_t), intent(inout) :: this
    real(kind=rp), intent(in) :: t
    integer, intent(in) :: tstep
    type(field_t), pointer :: u
    type(field_t), pointer :: v
    type(field_t), pointer :: w
    integer :: i
    real(kind=rp) :: ui, vi, wi, magu, utau, normu
 
    u => neko_field_registry%get_field("u")
    v => neko_field_registry%get_field("v")
    w => neko_field_registry%get_field("w")
 
    do i=1, this%n_nodes
      ! Sample the velocity
      ui = u%x(this%ind_r(i), this%ind_s(i), this%ind_t(i), this%ind_e(i))
      vi = v%x(this%ind_r(i), this%ind_s(i), this%ind_t(i), this%ind_e(i))
      wi = w%x(this%ind_r(i), this%ind_s(i), this%ind_t(i), this%ind_e(i))
 
      ! Project on tangential direction
      normu = ui * this%n_x%x(i) + vi * this%n_y%x(i) + wi * this%n_z%x(i)
 
      ui = ui - normu * this%n_x%x(i)
      vi = vi - normu * this%n_y%x(i)
      wi = wi - normu * this%n_z%x(i)
 
      magu = sqrt(ui**2 + vi**2 + wi**2)
 
      ! Compute the stress
      utau = (magu - this%B) * this%kappa / log(this%h%x(i) / this%z0)
 
      write(*,*) ui, vi, wi, utau
 
      ! Distribute according to the velocity vector
      this%tau_x(i) = -utau**2 * ui / magu
      this%tau_y(i) = -utau**2 * vi / magu
      this%tau_z(i) = -utau**2 * wi / magu
    end do
 
    write(*,*) this%tau_x(1:3)
  end subroutine rough_log_law_compute
 
 
end module rough_log_law