Add actuator disc model.

src/CMakeLists.txt

@@ -9,6 +9,7 @@ set(SRC
   ordering.f90
   mesh.f90
   field.f90
+  windturb_adm.f90
   omp/backend.f90
   omp/common.f90
   omp/kernels/distributed.f90

src/solver.f90

@@ -11,6 +11,7 @@ module m_solver
   use m_tdsops, only: tdsops_t, dirps_t
   use m_time_integrator, only: time_intg_t
   use m_mesh, only: mesh_t
+  use m_windturb_adm, only: windturb_adm_t
 
   implicit none
 
@@ -45,6 +46,7 @@ module m_solver
     real(dp) :: dt, nu
     integer :: n_iters, n_output
     integer :: ngrid
+    logical :: wind_turbine
 
     class(field_t), pointer :: u, v, w
 
@@ -54,11 +56,13 @@ module m_solver
     type(allocator_t), pointer :: host_allocator
     class(dirps_t), pointer :: xdirps, ydirps, zdirps
     procedure(poisson_solver), pointer :: poisson => null()
+    type(windturb_adm_t) :: windturb_adm
   contains
     procedure :: transeq
     procedure :: divergence_v2p
     procedure :: gradient_p2v
     procedure :: curl
+    procedure :: compute_turbines
     procedure :: output
     procedure :: run
   end type solver_t
@@ -99,6 +103,7 @@ function init(backend, mesh, time_integrator, host_allocator, &
     integer :: i, j, k
     integer, dimension(3) :: dims
     real(dp), dimension(3) :: xloc
+    real(dp), allocatable, dimension(:, :) :: disc_params
 
     solver%backend => backend
     solver%mesh => mesh
@@ -132,8 +137,8 @@ function init(backend, mesh, time_integrator, host_allocator, &
           y = xloc(2)
           z = xloc(3)
 
-          u_init%data(i, j, k) = sin(x)*cos(y)*cos(z)
-          v_init%data(i, j, k) = -cos(x)*sin(y)*cos(z)
+          u_init%data(i, j, k) = 10._dp!sin(x)*cos(y)*cos(z)
+          v_init%data(i, j, k) = 0._dp!-cos(x)*sin(y)*cos(z)
           w_init%data(i, j, k) = 0
         end do
       end do
@@ -163,6 +168,19 @@ function init(backend, mesh, time_integrator, host_allocator, &
       solver%poisson => poisson_cg
     end select
 
+    solver%wind_turbine = .true.
+    if (solver%wind_turbine) then
+      allocate (disc_params(2, 8))
+      ! coords x, y, z, yaw, tilt, D, C_T, alpha
+      disc_params(1, :) = [500._dp, 500._dp, 500._dp, 0._dp, 0._dp, &
+                           100._dp, 0.75_dp, 0.25_dp]
+      disc_params(2, :) = [1500._dp, 500._dp, 500._dp, 0._dp, 0._dp, &
+                           100._dp, 0.75_dp, 0.25_dp]
+      ! instantiate the actuator disc class
+      solver%windturb_adm = windturb_adm_t(backend, mesh, host_allocator, &
+                                           disc_params)
+    end if
+
   end function init
 
   subroutine allocate_tdsops(dirps, dir, backend)
@@ -542,6 +560,32 @@ subroutine curl(self, o_i_hat, o_j_hat, o_k_hat, u, v, w)
 
   end subroutine curl
 
+  subroutine compute_turbines(self, du, dv, dw, u, v, w)
+    implicit none
+
+    class(solver_t) :: self
+    class(field_t), intent(inout) :: du, dv, dw
+    class(field_t), intent(in) :: u, v, w
+
+    class(field_t), pointer :: Fx, Fy, Fz
+
+    Fx => self%backend%allocator%get_block(DIR_X)
+    Fy => self%backend%allocator%get_block(DIR_X)
+    Fz => self%backend%allocator%get_block(DIR_X)
+
+    call self%windturb_adm%compute_sources(Fx, Fy, Fz, u, v, w)
+
+    ! add resulting forces into the rhs of the momentum equation
+    !call self%backend%vecadd(self%windturb_adm%rho_air, Fx, 1._dp, du)
+    !call self%backend%vecadd(self%windturb_adm%rho_air, Fy, 1._dp, dv)
+    !call self%backend%vecadd(self%windturb_adm%rho_air, Fz, 1._dp, dw)
+
+    call self%backend%allocator%release_block(Fx)
+    call self%backend%allocator%release_block(Fy)
+    call self%backend%allocator%release_block(Fz)
+
+  end subroutine compute_turbines
+
   subroutine poisson_fft(self, pressure, div_u)
     implicit none
 
@@ -656,6 +700,11 @@ subroutine run(self)
 
         call self%transeq(du, dv, dw, self%u, self%v, self%w)
 
+        ! calculate the source terms from turbines and add into du, dv, dw
+        if (self%wind_turbine) then
+          call self%compute_turbines(du, dv, dw, self%u, self%v, self%w)
+        end if
+
         ! time integration
         call self%time_integrator%step(self%u, self%v, self%w, &
                                        du, dv, dw, self%dt)
@@ -696,6 +745,9 @@ subroutine run(self)
       if (mod(i, self%n_output) == 0) then
         t = i*self%dt
         call self%output(t)
+        if (self%mesh%par%is_root()) then
+          print *, 'power', self%windturb_adm%disc(:)%power
+        end if
       end if
     end do
 

src/windturb_adm.f90

@@ -0,0 +1,190 @@
+module m_windturb_adm
+  use iso_fortran_env, only: stderr => error_unit
+  use mpi
+
+  use m_allocator, only: allocator_t, field_t
+  use m_base_backend, only: base_backend_t
+  use m_common, only: dp, pi, DIR_X, DIR_C, VERT
+  use m_field, only: field_t
+  use m_mesh, only: mesh_t
+
+  implicit none
+
+  type :: actuator_disc_t
+    integer :: id
+    real(dp) :: coords(3) ! center of rotation
+    real(dp) :: yaw ! rotor yaw angle, in radians w.r.t. y-axis
+    real(dp) :: tilt ! rotor tilt angle, in radians w.r.t. z-axis
+    real(dp) :: D, area ! actuator disk diameter and area
+    real(dp) :: C_T ! thrust coefficient
+    real(dp) :: alpha ! induction coefficient
+    real(dp) :: rot_N(3) ! axis of rotation
+    real(dp) :: U_disc, U_disc_filt ! disk-averaged speed and filtered speed
+    real(dp) :: power, thrust ! instantaneous quantities
+    real(dp) :: U_disc_tavg, power_tavg, thrust_tavg ! time averaged quantities
+    class(field_t), pointer :: gamma_disc
+  end type actuator_disc_t
+
+  type :: windturb_adm_t
+    integer :: n_turb
+    real(dp) :: rho_air, cell_vol
+    type(actuator_disc_t), allocatable :: disc(:)
+    class(base_backend_t), pointer :: backend
+    class(mesh_t), pointer :: mesh
+    type(allocator_t), pointer :: host_allocator
+  contains
+    procedure :: compute_sources
+  end type windturb_adm_t
+
+  interface windturb_adm_t
+    module procedure init
+  end interface windturb_adm_t
+
+contains
+
+  function init(backend, mesh, host_allocator, disc_params) &
+    result(windturb_adm)
+    implicit none
+
+    class(base_backend_t), target, intent(inout) :: backend
+    type(mesh_t), target, intent(inout) :: mesh
+    type(allocator_t), target, intent(inout) :: host_allocator
+    real(dp), dimension(:, :), intent(in) :: disc_params
+    type(windturb_adm_t) :: windturb_adm
+
+    class(field_t), pointer :: gamma_host
+    real(dp) :: disc_coords(3), yaw, tilt, D, rot_N(3)
+    integer :: t, i, j, k, dims(3), ierr
+    real(dp) :: coords(3), delta, dx, dy, dz, delta_N, delta_R, disc_thick, &
+                gamma_val, gamma_tot
+
+    windturb_adm%backend => backend
+    windturb_adm%mesh => mesh
+    windturb_adm%host_allocator => host_allocator
+
+    windturb_adm%n_turb = size(disc_params, dim=1)
+    windturb_adm%rho_air = 1._dp
+    windturb_adm%cell_vol = product(mesh%geo%d)
+
+    allocate (windturb_adm%disc(windturb_adm%n_turb))
+
+    dims = mesh%get_dims(VERT)
+
+    gamma_host => windturb_adm%host_allocator%get_block(DIR_C)
+
+    do t = 1, windturb_adm%n_turb
+      disc_coords(:) = disc_params(t, 1:3)
+      yaw = disc_params(t, 4)*pi/180._dp
+      tilt = disc_params(t, 5)*pi/180._dp
+      D = disc_params(t, 6)
+      rot_N(1) = cos(yaw)*cos(tilt)
+      rot_N(2) = sin(tilt)
+      rot_N(3) = sin(yaw)
+      windturb_adm%disc(t)%coords(:) = disc_coords(:)
+      windturb_adm%disc(t)%yaw = yaw
+      windturb_adm%disc(t)%tilt = tilt
+      windturb_adm%disc(t)%D = D
+      windturb_adm%disc(t)%C_T = disc_params(t, 7)
+      windturb_adm%disc(t)%alpha = disc_params(t, 8)
+      windturb_adm%disc(t)%rot_N(:) = rot_N(:)
+      windturb_adm%disc(t)%area = pi*(D**2)/4._dp
+
+      gamma_host%data(:, :, :) = 0._dp
+      gamma_tot = 0._dp
+
+      delta = sqrt((mesh%geo%d(1)*rot_N(1))**2 &
+                   + (mesh%geo%d(2)*rot_N(2))**2 &
+                   + (mesh%geo%d(3)*rot_N(3))**2)
+      disc_thick = max(D/8._dp, delta*1.5_dp)
+      do k = 1, dims(3)
+        do j = 1, dims(2)
+          do i = 1, dims(1)
+            coords = mesh%get_coordinates(i, j, k)
+            dx = coords(1) - disc_coords(1)
+            dy = coords(2) - disc_coords(2)
+            dz = coords(3) - disc_coords(3)
+            delta_N = dx*rot_N(1) + dy*rot_N(2) - dz*rot_N(3)
+
+            dx = coords(1) - delta_N*rot_N(1)
+            dy = coords(2) - delta_N*rot_N(2)
+            dz = coords(3) + delta_N*rot_N(3)
+            delta_R = sqrt((dx - disc_coords(1))**2 &
+                           + (dy - disc_coords(2))**2 &
+                           + (dz - disc_coords(3))**2)
+
+            gamma_val = exp(-((delta_N/(disc_thick/2._dp))**2 &
+                              + (delta_R/(D/2._dp))**8))
+            gamma_host%data(i, j, k) = gamma_val
+            gamma_tot = gamma_tot + gamma_val
+          end do
+        end do
+      end do
+
+      ! normalise the gamma field
+      call MPI_Allreduce(MPI_IN_PLACE, gamma_tot, 1, MPI_DOUBLE_PRECISION, &
+                         MPI_SUM, MPI_COMM_WORLD, ierr)
+      gamma_host%data(:, :, :) = gamma_host%data(:, :, :)/gamma_tot
+
+      windturb_adm%disc(t)%gamma_disc &
+        => windturb_adm%backend%allocator%get_block(DIR_X)
+      call windturb_adm%backend%set_field_data( &
+        windturb_adm%disc(t)%gamma_disc, gamma_host%data &
+        )
+    end do
+
+    call windturb_adm%host_allocator%release_block(gamma_host)
+
+  end function init
+
+  subroutine compute_sources(self, Fx, Fy, Fz, u, v, w)
+    implicit none
+
+    class(windturb_adm_t) :: self
+    class(field_t), intent(inout) :: Fx, Fy, Fz
+    class(field_t), intent(in) :: u, v, w
+
+    real(dp) :: u_avg, v_avg, w_avg, rot_N(3)
+    real(dp) :: coeff_x, coeff_y, coeff_z, C_T_prime
+    real(dp), allocatable, dimension(:) :: vel_avg
+    integer :: t, ierr
+
+    allocate (vel_avg(self%n_turb))
+
+    do t = 1, self%n_turb
+      rot_N(:) = self%disc(t)%rot_N(:)
+      u_avg = self%backend%scalar_product(self%disc(t)%gamma_disc, u)
+      v_avg = self%backend%scalar_product(self%disc(t)%gamma_disc, v)
+      w_avg = self%backend%scalar_product(self%disc(t)%gamma_disc, w)
+      vel_avg(t) = u_avg*rot_N(1) + v_avg*rot_N(2) - w_avg*rot_N(3)
+    end do
+
+    ! obtain the average velocity combining all the subdomains
+    call MPI_Allreduce(vel_avg, self%disc%U_disc, self%n_turb, &
+                       MPI_DOUBLE_PRECISION, MPI_SUM, MPI_COMM_WORLD, ierr)
+
+    deallocate (vel_avg)
+
+    ! no filtering for the moment
+    self%disc(:)%U_disc_filt = self%disc(:)%U_disc
+
+    ! use a hack to zeroise the force fields
+    call self%backend%vecadd(0._dp, Fx, 0._dp, Fx)
+    call self%backend%vecadd(0._dp, Fy, 0._dp, Fy)
+    call self%backend%vecadd(0._dp, Fz, 0._dp, Fz)
+
+    do t = 1, self%n_turb
+      C_T_prime = self%disc(t)%C_T/(1._dp - self%disc(t)%alpha)**2
+      self%disc(t)%thrust = 0.5_dp*self%rho_air*C_T_prime &
+                            *self%disc(t)%U_disc_filt**2*self%disc(t)%area
+      self%disc(t)%power = self%disc(t)%thrust*self%disc(t)%U_disc_filt
+      coeff_x = -self%disc(t)%thrust*self%disc(t)%rot_N(1)/self%cell_vol
+      coeff_y = -self%disc(t)%thrust*self%disc(t)%rot_N(2)/self%cell_vol
+      coeff_z = self%disc(t)%thrust*self%disc(t)%rot_N(3)/self%cell_vol
+      call self%backend%vecadd(coeff_x, self%disc(t)%gamma_disc, 1._dp, Fx)
+      call self%backend%vecadd(coeff_y, self%disc(t)%gamma_disc, 1._dp, Fy)
+      call self%backend%vecadd(coeff_z, self%disc(t)%gamma_disc, 1._dp, Fz)
+    end do
+
+  end subroutine compute_sources
+
+end module m_windturb_adm

src/xcompact.f90

@@ -60,18 +60,19 @@ program xcompact
 #endif
 
   ! Global number of cells in each direction
-  dims_global = [256, 256, 256]
+  dims_global = [512, 256, 256]
 
   ! Global domain dimensions
   L_global = [2*pi, 2*pi, 2*pi]
+  L_global = [2000, 1000, 1000]
 
   ! Domain decomposition in each direction
   nproc_dir = [1, 1, nproc]
 
   mesh = mesh_t(dims_global, nproc_dir, L_global)
 
-  globs%dt = 0.001_dp
-  globs%nu = 1._dp/1600._dp
+  globs%dt = 0.1_dp
+  globs%nu = 1._dp/66000._dp
   globs%n_iters = 20000
   globs%n_output = 100