initialize Subroutine

private subroutine initialize(self, scheme, iterations, autoupdate, U, stop_on_fail)

Create the actual BDF integrator: initialize the alpha and beta coefficients.

Arguments

Type	Intent	Optional		Name
class(integrator_back_df),	intent(inout)		::	self	Integrator.
character(len=*),	intent(in)		::	scheme	Selected scheme.
integer(kind=I_P),	intent(in),	optional	::	iterations	Implicit iterations.
logical,	intent(in),	optional	::	autoupdate	Enable cyclic autoupdate of previous time steps.
class(integrand_object),	intent(in),	optional	::	U	Integrand molding prototype.
logical,	intent(in),	optional	::	stop_on_fail	Stop execution if initialization fail.

Source Code

initialize

Source Code

  subroutine initialize(self, scheme, iterations, autoupdate, U, stop_on_fail)
  !< Create the actual BDF integrator: initialize the *alpha* and *beta* coefficients.
  class(integrator_back_df), intent(inout)        :: self         !< Integrator.
  character(*),              intent(in)           :: scheme       !< Selected scheme.
  integer(I_P),              intent(in), optional :: iterations   !< Implicit iterations.
  logical,                   intent(in), optional :: autoupdate   !< Enable cyclic autoupdate of previous time steps.
  class(integrand_object),   intent(in), optional :: U            !< Integrand molding prototype.
  logical,                   intent(in), optional :: stop_on_fail !< Stop execution if initialization fail.

  if (self%is_supported(scheme=scheme)) then
     call self%destroy
     self%description_ = trim(adjustl(scheme))
    select case(trim(adjustl(scheme)))
    case('back_df_1')
      self%steps = 1 ; allocate(self%a(1:self%steps)) ; self%a = 0.0_R_P
      self%a(1) = -1.0_R_P
      self%b = 1.0_R_P
    case('back_df_2')
      self%steps = 2 ; allocate(self%a(1:self%steps)) ; self%a = 0.0_R_P
      self%a(1) = 1.0_R_P/3.0_R_P
      self%a(2) = -4.0_R_P/3.0_R_P
      self%b = 2.0_R_P/3.0_R_P
    case('back_df_3')
      self%steps = 3 ; allocate(self%a(1:self%steps)) ; self%a = 0.0_R_P
      self%a(1) = -2.0_R_P/11.0_R_P
      self%a(2) = 9.0_R_P/11.0_R_P
      self%a(3) = -18.0_R_P/11.0_R_P
      self%b = 6.0_R_P/11.0_R_P
    case('back_df_4')
      self%steps = 4 ; allocate(self%a(1:self%steps)) ; self%a = 0.0_R_P
      self%a(1) = 3.0_R_P/25.0_R_P
      self%a(2) = -16.0_R_P/25.0_R_P
      self%a(3) = 36.0_R_P/25.0_R_P
      self%a(4) = -48.0_R_P/25.0_R_P
      self%b = 12.0_R_P/25.0_R_P
    case('back_df_5')
      self%steps = 5 ; allocate(self%a(1:self%steps)) ; self%a = 0.0_R_P
      self%a(1) = -12.0_R_P/137.0_R_P
      self%a(2) = 75.0_R_P/137.0_R_P
      self%a(3) = -200.0_R_P/137.0_R_P
      self%a(4) = 300.0_R_P/137.0_R_P
      self%a(5) = -300.0_R_P/137.0_R_P
      self%b = 60.0_R_P/137.0_R_P
    case('back_df_6')
      self%steps = 6 ; allocate(self%a(1:self%steps)) ; self%a = 0.0_R_P
      self%a(1) = 10.0_R_P/147.0_R_P
      self%a(2) = -72.0_R_P/147.0_R_P
      self%a(3) = 225.0_R_P/147.0_R_P
      self%a(4) = -400.0_R_P/147.0_R_P
      self%a(5) = 450.0_R_P/147.0_R_P
      self%a(6) = -360.0_R_P/147.0_R_P
      self%b = 60.0_R_P/147.0_R_P
    case default
    endselect
    self%autoupdate = .true. ; if (present(autoupdate)) self%autoupdate = autoupdate
    self%iterations = 1 ; if (present(iterations)) self%iterations = iterations
    self%registers = self%steps
    if (present(U)) call self%allocate_integrand_members(U=U)
  else
    call self%trigger_error(error=ERROR_UNSUPPORTED_SCHEME,                                   &
                            error_message='"'//trim(adjustl(scheme))//'" unsupported scheme', &
                            is_severe=stop_on_fail)
  endif
  endsubroutine initialize

All Procedures

a a a a a add_burgers add_euler add_euler add_euler add_lorenz allocate_integrand_members allocate_integrand_members allocate_integrand_members allocate_integrand_members allocate_integrand_members amplitude_phase assign_abstract assign_integrand assign_integrand assign_integrand assign_multistage assign_multistage_multistep assign_multistep assign_real assign_real assign_real average_solution burgers_assign_burgers burgers_assign_real burgers_local_error burgers_multiply_burgers burgers_multiply_real check_error check_scheme_has_fast_mode check_scheme_has_fast_mode check_scheme_has_fast_mode class_name class_name class_name class_name class_name class_name class_name class_name class_name class_name class_name class_name class_name compute_dt compute_dt compute_dt compute_dt compute_dt compute_dt compute_dt compute_dx compute_inter_states compute_inter_states compute_inter_states compute_inter_states compute_inter_states conservative2primitive conservative2primitive conservative2primitive conservative2primitive conservative2primitive d2Burgers_dx2 dBurgers_dt dBurgers_dx description description description description destroy destroy destroy destroy destroy destroy destroy destroy destroy destroy destroy destroy destroy destroy destroy destroy destroy destroy destroy destroy_abstract destroy_multistage destroy_multistage_multistep destroy_multistep destroy_rk destroy_rk dEuler_dt dEuler_dt dEuler_dt dEuler_dt dEuler_dt dLorenz_dt dt_ratio dU_dt dU_dt dU_dt E E E E E error error error euler_assign_euler euler_assign_euler euler_assign_euler euler_assign_euler euler_assign_euler euler_assign_real euler_assign_real euler_assign_real euler_local_error euler_local_error euler_local_error euler_multiply_euler euler_multiply_euler euler_multiply_euler euler_multiply_real euler_multiply_real euler_multiply_real exact_solution exact_solution exact_solution execute execute execute export_tecplot export_tecplot export_tecplot foodie_integrator_class_names foodie_integrator_factory foodie_integrator_schemes H H H H H has_fast_mode has_fast_mode has_fast_mode has_fast_mode has_fast_mode has_fast_mode has_fast_mode has_fast_mode has_fast_mode has_fast_mode has_fast_mode has_fast_mode has_fast_mode impose_boundary_conditions impose_boundary_conditions impose_boundary_conditions impose_boundary_conditions impose_boundary_conditions impose_boundary_conditions init init init init init init init init init init init init init init_rk init_rk initialize initialize initialize initialize initialize initialize initialize initialize initialize initialize initialize initialize initialize initialize initialize initialize initialize initialize initialize initialize_order_s initialize_order_s_1 integr_assign_integr integr_assign_integr integr_assign_integr integr_assign_integr integr_assign_integr integr_assign_integr integr_assign_integr integr_assign_integr integr_assign_integr integr_assign_integr integr_assign_integr integr_assign_integr integr_assign_integr integrand_add_integrand integrand_add_integrand integrand_add_integrand integrand_add_integrand_fast integrand_add_integrand_fast integrand_add_integrand_fast integrand_add_real integrand_add_real integrand_add_real integrand_dimension integrand_dimension integrand_dimension integrand_multiply_integrand integrand_multiply_integrand integrand_multiply_integrand integrand_multiply_integrand_fast integrand_multiply_integrand_fast integrand_multiply_integrand_fast integrand_multiply_real integrand_multiply_real integrand_multiply_real integrand_multiply_real_scalar integrand_multiply_real_scalar integrand_multiply_real_scalar integrand_multiply_real_scalar_fast integrand_multiply_real_scalar_fast integrand_multiply_real_scalar_fast integrand_sub_integrand integrand_sub_integrand integrand_sub_integrand integrand_sub_real integrand_sub_real integrand_sub_real integrand_subtract_integrand_fast integrand_subtract_integrand_fast integrand_subtract_integrand_fast integrate integrate integrate integrate integrate integrate integrate integrate integrate integrate integrate integrate integrate integrate integrate integrate integrate_fast integrate_fast integrate_fast integrate_fast integrate_fast integrate_fast integrate_fast integrate_fast integrate_fast integrate_fast integrate_fast integrate_fast integrate_fast integrate_order_2 integrate_order_2_fast integrate_order_3 integrate_order_3_fast integrate_order_s integrate_order_s_1 integrate_order_s_1_fast integrate_order_s_fast integrate_rk integrate_rk is_admissible is_available is_class_available is_multistage is_multistage is_multistage is_multistep is_multistep is_multistep is_scheme_available is_supported is_supported is_supported is_supported is_supported is_supported is_supported is_supported is_supported is_supported is_supported is_supported is_supported local_error local_error local_error lorenz_assign_lorenz lorenz_assign_real lorenz_local_error lorenz_multiply_lorenz lorenz_multiply_real new_Dt observed_order observed_order observed_order omega output output output output output output output output output output p p p p p parse_cli parse_cli parse_cli previous_step previous_step previous_step primitive2conservative primitive2conservative primitive2conservative primitive2conservative primitive2conservative r r r r r real_add_integrand real_add_integrand real_add_integrand real_multiply_burgers real_multiply_euler real_multiply_euler real_multiply_euler real_multiply_integrand real_multiply_integrand real_multiply_integrand real_multiply_lorenz real_scalar_multiply_integrand real_scalar_multiply_integrand real_scalar_multiply_integrand real_sub_integrand real_sub_integrand real_sub_integrand reconstruct_interfaces reconstruct_interfaces_states reconstruct_interfaces_states reconstruct_interfaces_states reconstruct_interfaces_states reconstruct_interfaces_states registers_number riemann_solver riemann_solver riemann_solver riemann_solver riemann_solver save_results save_results save_results save_results save_results save_results save_results save_results save_results save_time_serie save_time_serie save_time_serie save_time_serie save_time_serie scheme_number set_cli set_cli set_cli set_sin_wave_initial_state set_square_wave_initial_state stages_number stages_number stages_number steps_number steps_number steps_number sub_burgers sub_euler sub_euler sub_euler sub_lorenz supported_schemes supported_schemes supported_schemes supported_schemes supported_schemes supported_schemes supported_schemes supported_schemes supported_schemes supported_schemes supported_schemes supported_schemes supported_schemes synchronize synchronize synchronize synchronize t_fast t_fast t_fast test test test_ab test_ab test_ab test_euler test_euler test_euler test_leapfrog test_leapfrog test_leapfrog test_ls_rk test_ls_rk test_ls_rk test_tvd_rk test_tvd_rk test_tvd_rk tokenize trigger_error update_previous update_previous update_previous_steps update_previous_steps update_previous_steps