test_ab Subroutine

  1. burgers.f90
  2. integrate_burgers
  3. test_ab

subroutine test_ab()

Test explicit Adams-Bashforth class of ODE solvers.

Arguments

None

Calls

proc~~test_ab~~CallsGraph proc~test_ab test_ab str str proc~test_ab->str proc~save_results~7 save_results proc~test_ab->proc~save_results~7
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Called By

proc~~test_ab~~CalledByGraph proc~test_ab test_ab program~integrate_burgers integrate_burgers program~integrate_burgers->proc~test_ab
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Source Code

test_ab

Source Code

  subroutine test_ab()
  !---------------------------------------------------------------------------------------------------------------------------------
  !< Test explicit Adams-Bashforth class of ODE solvers.
  !---------------------------------------------------------------------------------------------------------------------------------
  type(integrator_runge_kutta_tvd) :: rk_integrator         !< Runge-Kutta integrator.
  integer, parameter               :: rk_stages=5           !< Runge-Kutta stages number.
  type(burgers)                    :: rk_stage(1:rk_stages) !< Runge-Kutta stages.
  type(integrator_adams_bashforth) :: ab_integrator         !< Adams-Bashforth integrator.
  integer, parameter               :: ab_steps=4            !< Adams-Bashforth steps number.
  type(burgers)                    :: previous(1:ab_steps)  !< Previous time steps solutions.
  integer                          :: step                  !< Time steps counter.
  real(R_P)                        :: dt                    !< Time step.
  real(R_P)                        :: t(1:ab_steps)         !< Times.
  integer(I_P)                     :: s                     !< AB steps counter.
  integer(I_P)                     :: ss                    !< AB substeps counter.
  !---------------------------------------------------------------------------------------------------------------------------------

  !---------------------------------------------------------------------------------------------------------------------------------
  print "(A)", 'Integrating Burgers equation by means of Adams-Bashforth class of solvers'
  do s=1, ab_steps
    print "(A)", ' AB-'//trim(str(.true.,s))
    call ab_integrator%init(steps=s)
    select case(s)
    case(1, 2, 3)
      call rk_integrator%init(stages=s)
    case(4)
      call rk_integrator%init(stages=5)
    endselect
    call domain%init(initial_state=initial_state, Ni=Ni, h=h, nu=nu, steps=s)
    dt = domain%dt(CFL=CFL)
    t = 0._R_P
    step = 1
    do while(t(s)<t_final)
      if (s>=step) then
        ! the time steps from 1 to s - 1 must be computed with other scheme...
        call rk_integrator%integrate(U=domain, stage=rk_stage, dt=dt, t=t(s))
        previous(step) = domain
        if (step>1) then
          t(step) = t(step-1) + dt
        else
          t(step) = dt
        endif
      else
        call ab_integrator%integrate(U=domain, previous=previous(1:s), Dt=Dt, t=t)
        do ss=1, s-1
          t(ss) = t(ss + 1)
        enddo
        t(s) = t(s) + dt
      endif
      step = step + 1
    enddo
    final_state = domain%output()
    call save_results(title='FOODIE test: Burgers equation integration, t='//str(n=t_final)//' explicit '//&
                            'Adams-Bashforth '//trim(str(.true., s))//' steps', &
                      filename='burgers_integration-ab-'//trim(str(.true., s)))
  enddo
  print "(A)", 'Finish!'
  return
  !---------------------------------------------------------------------------------------------------------------------------------
  endsubroutine test_ab

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