force_torque.f90

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module force_torque
  use num_types, only : rp, dp, sp
  use time_based_controller, only : time_based_controller_t
  use json_module, only : json_file
  use simulation_component, only : simulation_component_t
  use registry, only : neko_registry
  use scratch_registry, only : neko_scratch_registry
  use time_state, only : time_state_t
  use field, only : field_t
  use operators, only : curl
  use case, only : case_t
  use json_utils, only : json_get, json_get_or_default, &
       json_get_or_lookup, json_get_or_lookup_or_default
  use coefs, only : coef_t
  use operators, only : strain_rate
  use vector, only : vector_t
  use dirichlet, only : dirichlet_t
  use drag_torque, only : calc_force_array, device_calc_force_array, &
       setup_normals
  use logger, only : log_size, neko_log
  use neko_config, only : neko_bcknd_device
  use math, only : masked_gather_copy_0, cadd, glsum, vcross
  use device_math, only : device_masked_gather_copy_0, device_cadd, &
       device_glsum, device_vcross
  use mpi_f08, only : mpi_integer, mpi_sum, mpi_allreduce
  use comm, only : neko_comm
  use device, only : device_memcpy, host_to_device
  use ale_manager, only : neko_ale
  use ale_rigid_kinematics, only : pivot_state_t
  use utils, only : neko_error
 
  implicit none
  private
 
  type, public, extends(simulation_component_t) :: force_torque_t
     type(field_t), pointer :: u => null()
     type(field_t), pointer :: v => null()
     type(field_t), pointer :: w => null()
     type(field_t), pointer :: p => null()
     type(field_t), pointer :: mu => null()
 
     ! Masked working arrays
     type(vector_t) :: n1, n2, n3
     type(vector_t) :: r1, r2, r3
     type(vector_t) :: force1, force2, force3
     type(vector_t) :: force4, force5, force6
     type(vector_t) :: pmsk
     type(vector_t) :: mu_msk
     type(vector_t) :: s11msk, s22msk, s33msk, s12msk, s13msk, s23msk
     real(kind=rp) :: center(3) = 0.0_rp
     real(kind=rp) :: scale
     integer :: zone_id
     character(len=20) :: zone_name
     type(coef_t), pointer :: coef => null()
     type(dirichlet_t) :: bc
     character(len=80) :: print_format
     ! Pointer to the live pivot state inside ale_manager
     type(pivot_state_t), pointer :: pivot_link => null()
     logical :: moving_center = .false.
     logical :: update_normals = .false.
     character(len=64) :: linked_body_name = 'NOT_LINKED'
     ! Stores the Time=0 offset from the initial pivot
     real(kind=rp) :: local_offset(3) = 0.0_rp
     ! Current Pivot Position
     real(kind=rp), pointer :: body_p(:) => null()
     ! Current Rotation Matrix
     real(kind=rp), pointer :: body_r(:,:) => null()
 
   contains
     procedure, pass(this) :: init => force_torque_init_from_json
     procedure, private, pass(this) :: init_common => force_torque_init_common
     generic :: init_from_components => &
          init_from_controllers, init_from_controllers_properties
     procedure, pass(this) :: init_from_controllers => &
          force_torque_init_from_controllers
     procedure, pass(this) :: init_from_controllers_properties => &
          force_torque_init_from_controllers_properties
     procedure, pass(this) :: free => force_torque_free
     procedure, pass(this) :: compute_ => force_torque_compute
     procedure, private, pass(this) :: ale_link => setup_ale_link
  end type force_torque_t
 
contains
 
  subroutine force_torque_init_from_json(this, json, case)
    class(force_torque_t), intent(inout), target :: this
    type(json_file), intent(inout) :: json
    class(case_t), intent(inout), target :: case
    integer :: zone_id
    real(kind=rp), allocatable :: center(:)
    character(len=:), allocatable :: zone_name, fluid_name, center_type
    character(len=:), allocatable :: name
    real(kind=rp) :: scale
    logical :: long_print
 
    call json_get_or_default(json, "name", name, "force_torque")
    call this%init_base(json, case)
 
    call json_get_or_default(json, 'fluid_name', fluid_name, 'fluid')
    call json_get_or_lookup(json, 'zone_id', zone_id)
    call json_get_or_default(json, 'zone_name', zone_name, ' ')
    call json_get_or_lookup_or_default(json, 'scale', scale, 1.0_rp)
    call json_get_or_default(json, 'long_print', long_print, .false.)
    call json_get_or_lookup(json, 'center', center)
    call json_get_or_default(json, 'center_type', center_type, 'fixed')
    if (trim(center_type) /= 'fixed' .and. &
         trim(center_type) /= 'pivot' .and. &
         trim(center_type) /= 'body_attached') then
       call neko_error("force_torque: center_type must be 'fixed'"// &
            ", 'pivot', or 'body_attached'.")
    end if
 
    if (allocated(center)) this%center = center
 
    call this%init_common(name, fluid_name, zone_id, zone_name, this%center, &
         scale, case%fluid%c_xh, long_print, center_type = center_type)
  end subroutine force_torque_init_from_json
 
  subroutine force_torque_init_from_controllers(this, name, case, order, &
       preprocess_controller, compute_controller, output_controller, &
       fluid_name, zone_id, zone_name, center, scale, coef, long_print)
    class(force_torque_t), intent(inout) :: this
    character(len=*), intent(in) :: name
    class(case_t), intent(inout), target :: case
    integer :: order
    type(time_based_controller_t), intent(in) :: preprocess_controller
    type(time_based_controller_t), intent(in) :: compute_controller
    type(time_based_controller_t), intent(in) :: output_controller
    character(len=*), intent(in) :: fluid_name
    character(len=*), intent(in) :: zone_name
    integer, intent(in) :: zone_id
    real(kind=rp), intent(in) :: center(3)
    real(kind=rp), intent(in) :: scale
    type(coef_t), target, intent(in) :: coef
    logical, intent(in) :: long_print
 
    call this%init_base_from_components(case, order, preprocess_controller, &
         compute_controller, output_controller)
    call this%init_common(name, fluid_name, zone_id, zone_name, center, scale, &
         coef, long_print)
 
  end subroutine force_torque_init_from_controllers
 
  subroutine force_torque_init_from_controllers_properties(this, name, &
       case, order, preprocess_control, preprocess_value, compute_control, &
       compute_value, output_control, output_value, fluid_name, zone_name, &
       zone_id, center, scale, coef, long_print)
    class(force_torque_t), intent(inout) :: this
    character(len=*), intent(in) :: name
    class(case_t), intent(inout), target :: case
    integer :: order
    character(len=*), intent(in) :: preprocess_control
    real(kind=rp), intent(in) :: preprocess_value
    character(len=*), intent(in) :: compute_control
    real(kind=rp), intent(in) :: compute_value
    character(len=*), intent(in) :: output_control
    real(kind=rp), intent(in) :: output_value
    character(len=*), intent(in) :: fluid_name
    character(len=*), intent(in) :: zone_name
    integer, intent(in) :: zone_id
    real(kind=rp), intent(in) :: center(3)
    real(kind=rp), intent(in) :: scale
    type(coef_t), target, intent(in) :: coef
    logical, intent(in) :: long_print
 
    call this%init_base_from_components(case, order, preprocess_control, &
         preprocess_value, compute_control, compute_value, output_control, &
         output_value)
    call this%init_common(name, fluid_name, zone_id, zone_name, center, scale, &
         coef, long_print)
 
  end subroutine force_torque_init_from_controllers_properties
 
  subroutine force_torque_init_common(this, name, fluid_name, zone_id, &
       zone_name, center, scale, coef, long_print, center_type)
    class(force_torque_t), intent(inout) :: this
    character(len=*), intent(in) :: name
    real(kind=rp), intent(in) :: center(3)
    real(kind=rp), intent(in) :: scale
    character(len=*), intent(in) :: fluid_name
    character(len=*), intent(in) :: zone_name
    integer, intent(in) :: zone_id
    type(coef_t), target, intent(in) :: coef
    logical, intent(in) :: long_print
    character(len=*), intent(in), optional :: center_type
    character(len=:), allocatable :: ctype_str
    integer :: n_pts, glb_n_pts, ierr
    real(kind=rp) :: avg_r(3)
    character(len=1000) :: log_buf
    this%name = name
    this%coef => coef
    this%zone_id = zone_id
    this%scale = scale
    this%zone_name = zone_name
 
    if (present(center_type)) then
       ctype_str = center_type
    else
       ctype_str = 'fixed' ! Default behavior
    end if
 
    call this%ale_link(zone_id, ctype_str, center)
 
    if (ctype_str /= 'fixed' .and. .not. this%moving_center) then
       ctype_str = 'fixed (reverted from ' // ctype_str // ')'
    end if
 
    ! Set fixed center if not linked to an ALE body
    if (.not. this%moving_center) then
       this%center = center
    end if
 
 
    if (long_print) then
       this%print_format = '(I7,E20.10,E20.10,E20.10,E20.10,A)'
    else
       this%print_format = '(I7,E13.5,E13.5,E13.5,E13.5,A)'
    end if
 
    this%u => neko_registry%get_field_by_name("u")
    this%v => neko_registry%get_field_by_name("v")
    this%w => neko_registry%get_field_by_name("w")
    this%p => neko_registry%get_field_by_name("p")
    this%mu => neko_registry%get_field_by_name(fluid_name // '_mu_tot')
 
 
    call this%bc%init_base(this%coef)
    call this%bc%mark_zone(this%case%msh%labeled_zones(this%zone_id))
    call this%bc%finalize(only_facets = .true.)
    n_pts = this%bc%msk(0)
    if (n_pts .gt. 0) then
       call this%n1%init(n_pts)
       call this%n2%init(n_pts)
       call this%n3%init(n_pts)
       call this%r1%init(n_pts)
       call this%r2%init(n_pts)
       call this%r3%init(n_pts)
       call this%force1%init(n_pts)
       call this%force2%init(n_pts)
       call this%force3%init(n_pts)
       call this%force4%init(n_pts)
       call this%force5%init(n_pts)
       call this%force6%init(n_pts)
       call this%s11msk%init(n_pts)
       call this%s22msk%init(n_pts)
       call this%s33msk%init(n_pts)
       call this%s12msk%init(n_pts)
       call this%s13msk%init(n_pts)
       call this%s23msk%init(n_pts)
       call this%pmsk%init(n_pts)
       call this%mu_msk%init(n_pts)
    end if
 
    call setup_normals(this%coef, this%bc%msk, this%bc%facet, &
         this%n1, this%n2, this%n3, n_pts)
    call masked_gather_copy_0(this%r1%x, this%coef%dof%x, this%bc%msk, &
         this%u%size(), n_pts)
    call masked_gather_copy_0(this%r2%x, this%coef%dof%y, this%bc%msk, &
         this%u%size(), n_pts)
    call masked_gather_copy_0(this%r3%x, this%coef%dof%z, this%bc%msk, &
         this%u%size(), n_pts)
 
    call mpi_allreduce(n_pts, glb_n_pts, 1, &
         mpi_integer, mpi_sum, neko_comm, ierr)
    ! Calculating avg pos here
    avg_r(1) = glsum(this%r1%x, n_pts)/glb_n_pts
    avg_r(2) = glsum(this%r2%x, n_pts)/glb_n_pts
    avg_r(3) = glsum(this%r3%x, n_pts)/glb_n_pts
    ! Print some information
    call neko_log%section('Force/torque calculation')
    write(log_buf, '(A,I4,A,A)') 'Zone ', zone_id, '  ', trim(zone_name)
    call neko_log%message(log_buf)
 
    write(log_buf, '(A,I6, I6)') 'Global number of GLL points in zone: ', &
         glb_n_pts
    call neko_log%message(log_buf)
 
    write(log_buf, '(A,A)') 'Center Type: ', trim(ctype_str)
    call neko_log%message(log_buf)
 
    if (trim(ctype_str) == 'pivot' .or. &
         trim(ctype_str) == 'body_attached') then
       write(log_buf, '(A,A)') 'Linked to ALE Body movement: ', &
            trim(this%linked_body_name)
       call neko_log%message(log_buf)
       write(log_buf, '(A,E15.7,E15.7,E15.7)') &
            'Initial center for torque calculation: ', this%center
       call neko_log%message(log_buf)
    else
       write(log_buf, '(A,E15.7,E15.7,E15.7)') &
            'Fixed center for torque calculation: ', this%center
       call neko_log%message(log_buf)
    end if
 
    write(log_buf, '(A,E15.7,E15.7,E15.7)') &
         'Average of zone''s coordinates: ', avg_r
    call neko_log%message(log_buf)
 
    write(log_buf, '(A,E15.7)') 'Scale: ', scale
    call neko_log%message(log_buf)
    call neko_log%end_section()
 
 
    call cadd(this%r1%x, -this%center(1), n_pts)
    call cadd(this%r2%x, -this%center(2), n_pts)
    call cadd(this%r3%x, -this%center(3), n_pts)
    if (neko_bcknd_device .eq. 1 .and. n_pts .gt. 0) then
       call device_memcpy(this%r1%x, this%r1%x_d, n_pts, host_to_device, &
            .false.)
       call device_memcpy(this%r2%x, this%r2%x_d, n_pts, host_to_device, &
            .false.)
       call device_memcpy(this%r3%x, this%r3%x_d, n_pts, host_to_device, &
            .true.)
    end if
 
  end subroutine force_torque_init_common
 
  subroutine force_torque_free(this)
    class(force_torque_t), intent(inout) :: this
    call this%free_base()
 
    call this%n1%free()
    call this%n2%free()
    call this%n3%free()
 
    call this%r1%free()
    call this%r2%free()
    call this%r3%free()
 
    call this%force1%free()
    call this%force2%free()
    call this%force3%free()
 
    call this%force4%free()
    call this%force5%free()
    call this%force6%free()
 
    call this%pmsk%free()
    call this%mu_msk%free()
    call this%s11msk%free()
    call this%s22msk%free()
    call this%s33msk%free()
    call this%s12msk%free()
    call this%s13msk%free()
    call this%s23msk%free()
 
    nullify(this%u)
    nullify(this%v)
    nullify(this%w)
    nullify(this%p)
    nullify(this%coef)
    nullify(this%mu)
    nullify(this%pivot_link)
  end subroutine force_torque_free
 
  subroutine force_torque_compute(this, time)
    class(force_torque_t), intent(inout) :: this
    type(time_state_t), intent(in) :: time
    real(kind=rp) :: dgtq(12)
    integer :: n_pts, temp_indices(6)
    type(field_t), pointer :: s11, s22, s33, s12, s13, s23
    character(len=1000) :: log_buf
    real(kind=rp) :: rot_offset(3)
 
    dgtq = 0.0_rp
    n_pts = this%bc%msk(0)
 
 
    ! body_attached
    if (this%moving_center .and. associated(this%body_P)) then
       if (associated(this%body_R)) then
          ! R * Offset
          rot_offset(1) = this%body_R(1,1)*this%local_offset(1) + &
               this%body_R(1,2)*this%local_offset(2) + &
               this%body_R(1,3)*this%local_offset(3)
          rot_offset(2) = this%body_R(2,1)*this%local_offset(1) + &
               this%body_R(2,2)*this%local_offset(2) + &
               this%body_R(2,3)*this%local_offset(3)
          rot_offset(3) = this%body_R(3,1)*this%local_offset(1) + &
               this%body_R(3,2)*this%local_offset(2) + &
               this%body_R(3,3)*this%local_offset(3)
          this%center = this%body_P + rot_offset
       end if
    end if
 
    if (this%update_normals) then
       call setup_normals(this%coef, this%bc%msk, this%bc%facet, &
            this%n1, this%n2, this%n3, n_pts)
 
       if ((neko_bcknd_device .eq. 1) .and. (n_pts .gt. 0)) then
          call device_masked_gather_copy_0(this%r1%x_d, this%coef%dof%x_d, &
               this%bc%msk_d, this%u%size(), n_pts)
          call device_masked_gather_copy_0(this%r2%x_d, this%coef%dof%y_d, &
               this%bc%msk_d, this%u%size(), n_pts)
          call device_masked_gather_copy_0(this%r3%x_d, this%coef%dof%z_d, &
               this%bc%msk_d, this%u%size(), n_pts)
 
          call device_cadd(this%r1%x_d, -this%center(1), n_pts)
          call device_cadd(this%r2%x_d, -this%center(2), n_pts)
          call device_cadd(this%r3%x_d, -this%center(3), n_pts)
       else
          call masked_gather_copy_0(this%r1%x, this%coef%dof%x, this%bc%msk, &
               this%u%size(), n_pts)
          call masked_gather_copy_0(this%r2%x, this%coef%dof%y, this%bc%msk, &
               this%u%size(), n_pts)
          call masked_gather_copy_0(this%r3%x, this%coef%dof%z, this%bc%msk, &
               this%u%size(), n_pts)
 
          call cadd(this%r1%x, -this%center(1), n_pts)
          call cadd(this%r2%x, -this%center(2), n_pts)
          call cadd(this%r3%x, -this%center(3), n_pts)
       end if
    end if
 
    call neko_scratch_registry%request_field(s11, temp_indices(1), .false.)
    call neko_scratch_registry%request_field(s12, temp_indices(2), .false.)
    call neko_scratch_registry%request_field(s13, temp_indices(3), .false.)
    call neko_scratch_registry%request_field(s22, temp_indices(4), .false.)
    call neko_scratch_registry%request_field(s23, temp_indices(5), .false.)
    call neko_scratch_registry%request_field(s33, temp_indices(6), .false.)
 
    call strain_rate(s11, s22, s33, s12, s13, s23, &
         this%u, this%v, this%w, this%coef)
 
    ! On the CPU we can actually just use the original subroutines...
    if (neko_bcknd_device .eq. 0) then
       call masked_gather_copy_0(this%s11msk%x, s11%x, this%bc%msk, &
            this%u%size(), n_pts)
       call masked_gather_copy_0(this%s22msk%x, s22%x, this%bc%msk, &
            this%u%size(), n_pts)
       call masked_gather_copy_0(this%s33msk%x, s33%x, this%bc%msk, &
            this%u%size(), n_pts)
       call masked_gather_copy_0(this%s12msk%x, s12%x, this%bc%msk, &
            this%u%size(), n_pts)
       call masked_gather_copy_0(this%s13msk%x, s13%x, this%bc%msk, &
            this%u%size(), n_pts)
       call masked_gather_copy_0(this%s23msk%x, s23%x, this%bc%msk, &
            this%u%size(), n_pts)
       call masked_gather_copy_0(this%pmsk%x, this%p%x, this%bc%msk, &
            this%u%size(), n_pts)
       call masked_gather_copy_0(this%mu_msk%x, this%mu%x, this%bc%msk, &
            this%u%size(), n_pts)
       call calc_force_array(this%force1%x, this%force2%x, this%force3%x, &
            this%force4%x, this%force5%x, this%force6%x, &
            this%s11msk%x, &
            this%s22msk%x, &
            this%s33msk%x, &
            this%s12msk%x, &
            this%s13msk%x, &
            this%s23msk%x, &
            this%pmsk%x, &
            this%n1%x, &
            this%n2%x, &
            this%n3%x, &
            this%mu_msk%x, &
            n_pts)
       dgtq(1) = glsum(this%force1%x, n_pts)
       dgtq(2) = glsum(this%force2%x, n_pts)
       dgtq(3) = glsum(this%force3%x, n_pts)
       dgtq(4) = glsum(this%force4%x, n_pts)
       dgtq(5) = glsum(this%force5%x, n_pts)
       dgtq(6) = glsum(this%force6%x, n_pts)
       call vcross(this%s11msk%x, this%s22msk%x, this%s33msk%x, &
            this%r1%x, this%r2%x, this%r3%x, &
            this%force1%x, this%force2%x, this%force3%x, n_pts)
 
       dgtq(7) = glsum(this%s11msk%x, n_pts)
       dgtq(8) = glsum(this%s22msk%x, n_pts)
       dgtq(9) = glsum(this%s33msk%x, n_pts)
       call vcross(this%s11msk%x, this%s22msk%x, this%s33msk%x, &
            this%r1%x, this%r2%x, this%r3%x, &
            this%force4%x, this%force5%x, this%force6%x, n_pts)
       dgtq(10) = glsum(this%s11msk%x, n_pts)
       dgtq(11) = glsum(this%s22msk%x, n_pts)
       dgtq(12) = glsum(this%s33msk%x, n_pts)
    else
       if (n_pts .gt. 0) then
          call device_masked_gather_copy_0(this%s11msk%x_d, s11%x_d, &
               this%bc%msk_d, this%u%size(), n_pts)
          call device_masked_gather_copy_0(this%s22msk%x_d, s22%x_d, &
               this%bc%msk_d, this%u%size(), n_pts)
          call device_masked_gather_copy_0(this%s33msk%x_d, s33%x_d, &
               this%bc%msk_d, this%u%size(), n_pts)
          call device_masked_gather_copy_0(this%s12msk%x_d, s12%x_d, &
               this%bc%msk_d, this%u%size(), n_pts)
          call device_masked_gather_copy_0(this%s13msk%x_d, s13%x_d, &
               this%bc%msk_d, this%u%size(), n_pts)
          call device_masked_gather_copy_0(this%s23msk%x_d, s23%x_d, &
               this%bc%msk_d, this%u%size(), n_pts)
          call device_masked_gather_copy_0(this%pmsk%x_d, this%p%x_d, &
               this%bc%msk_d, this%u%size(), n_pts)
          call device_masked_gather_copy_0(this%mu_msk%x_d, this%mu%x_d, &
               this%bc%msk_d, this%u%size(), n_pts)
 
          call device_calc_force_array(this%force1%x_d, this%force2%x_d, &
               this%force3%x_d, &
               this%force4%x_d, &
               this%force5%x_d, &
               this%force6%x_d, &
               this%s11msk%x_d, &
               this%s22msk%x_d, &
               this%s33msk%x_d, &
               this%s12msk%x_d, &
               this%s13msk%x_d, &
               this%s23msk%x_d, &
               this%pmsk%x_d, &
               this%n1%x_d, &
               this%n2%x_d, &
               this%n3%x_d, &
               this%mu_msk%x_d, &
               n_pts)
          ! Overwriting masked s11, s22, s33 as they are no longer needed
          call device_vcross(this%s11msk%x_d, this%s22msk%x_d, &
               this%s33msk%x_d, &
               this%r1%x_d, this%r2%x_d, this%r3%x_d, &
               this%force1%x_d, this%force2%x_d, &
               this%force3%x_d, n_pts)
          call device_vcross(this%s12msk%x_d, this%s13msk%x_d, this%s23msk%x_d,&
               this%r1%x_d, this%r2%x_d, this%r3%x_d, &
               this%force4%x_d, this%force5%x_d, this%force6%x_d, n_pts)
       end if
       dgtq(1) = device_glsum(this%force1%x_d, n_pts)
       dgtq(2) = device_glsum(this%force2%x_d, n_pts)
       dgtq(3) = device_glsum(this%force3%x_d, n_pts)
       dgtq(4) = device_glsum(this%force4%x_d, n_pts)
       dgtq(5) = device_glsum(this%force5%x_d, n_pts)
       dgtq(6) = device_glsum(this%force6%x_d, n_pts)
       dgtq(7) = device_glsum(this%s11msk%x_d, n_pts)
       dgtq(8) = device_glsum(this%s22msk%x_d, n_pts)
       dgtq(9) = device_glsum(this%s33msk%x_d, n_pts)
       dgtq(10) = device_glsum(this%s12msk%x_d, n_pts)
       dgtq(11) = device_glsum(this%s13msk%x_d, n_pts)
       dgtq(12) = device_glsum(this%s23msk%x_d, n_pts)
    end if
    dgtq = this%scale*dgtq
    write(log_buf, '(A, I4, A, A)') 'Force and torque on zone ', &
         this%zone_id, '  ', this%zone_name
    call neko_log%message(log_buf)
    write(log_buf, '(A)') &
         'Time step, time, total force/torque, pressure, viscous, direction'
    call neko_log%message(log_buf)
    write(log_buf, this%print_format) &
         time%tstep, time%t, dgtq(1) + dgtq(4), dgtq(1), dgtq(4), ', forcex'
    call neko_log%message(log_buf)
    write(log_buf, this%print_format) &
         time%tstep, time%t, dgtq(2) + dgtq(5), dgtq(2), dgtq(5), ', forcey'
    call neko_log%message(log_buf)
    write(log_buf, this%print_format) &
         time%tstep, time%t, dgtq(3) + dgtq(6), dgtq(3), dgtq(6), ', forcez'
    call neko_log%message(log_buf)
    write(log_buf, this%print_format) &
         time%tstep, time%t, dgtq(7) + dgtq(10), dgtq(7), dgtq(10), ', torquex'
    call neko_log%message(log_buf)
    write(log_buf, this%print_format) &
         time%tstep, time%t, dgtq(8) + dgtq(11), dgtq(8), dgtq(11), ', torquey'
    call neko_log%message(log_buf)
    write(log_buf, this%print_format) &
         time%tstep, time%t, dgtq(9) + dgtq(12), dgtq(9), dgtq(12), ', torquez'
    call neko_log%message(log_buf)
    call neko_scratch_registry%relinquish_field(temp_indices)
 
  end subroutine force_torque_compute
 
  subroutine setup_ale_link(this, zone_id, center_type, center_in)
    class(force_torque_t), intent(inout) :: this
    integer, intent(in) :: zone_id
    character(len=*), intent(in) :: center_type
    real(kind=rp), intent(in) :: center_in(3)
 
    character(len=128) :: log_buf
    integer :: i, j, nbodies, nindices
    logical :: body_found
    logical :: ale_active
 
    ale_active = .false.
    this%moving_center = .false.
    this%update_normals = .false.
    this%local_offset = 0.0_rp
    nullify(this%body_P)
    nullify(this%body_R)
 
    ! Check Global Pointer for ALE
    if (associated(neko_ale)) then
       if (neko_ale%active) then
          ale_active = .true.
          this%update_normals = .true.
 
          if (trim(center_type) == 'pivot' .or. &
               trim(center_type) == 'body_attached') then
 
             body_found = .false.
             nbodies = neko_ale%config%nbodies
             i = 1
             do while (i <= nbodies .and. .not. body_found)
                if (allocated(neko_ale%config%bodies(i)%zone_indices)) then
                   nindices = size(neko_ale%config%bodies(i)%zone_indices)
                   j = 1
                   do while (j <= nindices .and. .not. body_found)
                      if (neko_ale%config%bodies(i)%zone_indices(j) &
                           == zone_id) then
 
                         ! Body found
                         this%moving_center = .true.
                         this%pivot_link => neko_ale%ale_pivot(i)
                         this%linked_body_name = neko_ale%config%bodies(i)%name
                         ! body_id = neko_ale%config%bodies(i)%id
                         body_found = .true.
 
                         ! Point to Live Data
                         this%body_P => neko_ale%ale_pivot(i)%pos
                         this%body_R => neko_ale%body_rot_matrices(:, :, i)
 
                         ! Calculate local offset (Using Time=0 data)
                         if (trim(center_type) == 'pivot') then
                            ! Attached to center -> Offset is 0
                            this%local_offset = 0.0_rp
                            this%center = this%body_P ! Initial Position
                         else
                            ! Detached from pivot -->
                            ! offset = JSON_Input - Initial_Pivot
                            ! Note: we assume center_in is the
                            ! Time=0 global coord
                            this%local_offset = center_in - &
                                 neko_ale%config%bodies(i)%rot_center
                            ! Set initial position for init_common
                            this%center = center_in
                         end if
 
                      end if
                      j = j + 1
                   end do
                end if
                i = i + 1
             end do
 
             if (.not. body_found) then
                call neko_log%message(' ')
                write(log_buf, '(A,I0,A)') 'Warning: Zone ', zone_id, &
                     ' requested "' // trim(center_type) // &
                     '" center, but is not registered as an ALE body.'
 
                call neko_log%message(log_buf)
 
                call neko_log%message('Reverting to FIXED center ' // &
                     'using JSON coordinates.')
 
                this%moving_center = .false.
             end if
 
          end if
       end if
    end if
 
    if ((.not. ale_active) .and. (trim(center_type) == 'pivot' .or. &
         trim(center_type) == 'body_attached')) then
 
       call neko_log%message(' ')
 
       write(log_buf, '(A,I0,A)') "Warning: Zone ", zone_id, &
            " requested '" // trim(center_type) // "' center, " // &
            "but ALE is not active."
       call neko_log%message(log_buf)
 
       call neko_log%message("pivot and body_attached work " // &
            "only for ALE simulations.")
 
       call neko_log%message("Reverting to 'fixed' center " // &
            "using JSON coordinates.")
 
    end if
 
  end subroutine setup_ale_link
 
end module force_torque