atl_time_integration_module Module

This module keeps the generic routines and datatypes for the timestepping methods.

It provides the methods to perform both, single step time integration and multistep in a single framework.


Uses

Used by

  • module~~atl_time_integration_module~~UsedByGraph module~atl_time_integration_module atl_time_integration_module module~atl_calc_time_module atl_calc_time_module module~atl_calc_time_module->module~atl_time_integration_module module~atl_container_module atl_container_module module~atl_container_module->module~atl_time_integration_module module~atl_global_time_integration_module atl_global_time_integration_module module~atl_container_module->module~atl_global_time_integration_module module~atl_physcheck_module atl_physCheck_module module~atl_container_module->module~atl_physcheck_module module~atl_fwdeuler_module atl_fwdEuler_module module~atl_fwdeuler_module->module~atl_time_integration_module module~atl_global_time_integration_module->module~atl_time_integration_module module~atl_global_time_integration_module->module~atl_fwdeuler_module module~atl_imexrk_module atl_imexrk_module module~atl_global_time_integration_module->module~atl_imexrk_module module~atl_predcor_cerk4_module atl_predcor_cerk4_module module~atl_global_time_integration_module->module~atl_predcor_cerk4_module module~atl_rk4_module atl_rk4_module module~atl_global_time_integration_module->module~atl_rk4_module module~atl_rktaylor_module atl_rktaylor_module module~atl_global_time_integration_module->module~atl_rktaylor_module module~atl_ssprk2_module atl_ssprk2_module module~atl_global_time_integration_module->module~atl_ssprk2_module module~atl_imexrk_module->module~atl_time_integration_module module~atl_physcheck_module->module~atl_time_integration_module module~atl_predcor_cerk4_module->module~atl_time_integration_module module~atl_rk4_module->module~atl_time_integration_module module~atl_rktaylor_module->module~atl_time_integration_module module~atl_ssprk2_module->module~atl_time_integration_module module~atl_initialize_module atl_initialize_module module~atl_initialize_module->module~atl_container_module module~atl_program_module atl_program_module module~atl_program_module->module~atl_calc_time_module module~atl_program_module->module~atl_container_module module~atl_program_module->module~atl_global_time_integration_module module~atl_program_module->module~atl_physcheck_module module~atl_program_module->module~atl_initialize_module program~ateles ateles program~ateles->module~atl_container_module program~ateles->module~atl_program_module program~atl_harvesting atl_harvesting program~atl_harvesting->module~atl_container_module program~atl_harvesting->module~atl_initialize_module program~atl_harvesting->module~atl_program_module

Variables

Type Visibility Attributes Name Initial
integer, public, parameter :: explicitEuler = 1

Explicit euler in time.
integer, public, parameter :: explicitRungeKutta = 2

Explicit Runge Kutta in time.
integer, public, parameter :: explicitSSPRungeKutta = 3

Explicit Strong-Stability-Preserving Runge Kutta in time.
integer, public, parameter :: explicitLocalPredictorGlobalCorrector = 4

Explicit Local-Predictor Global-Corrector Approach in time
integer, public, parameter :: explicitRungeKuttaTaylor = 5

Explicit Runge-Kutta-Taylor in time.
integer, public, parameter :: imexRungeKutta = 6

IMEX Runge-Kutta in time.

Abstract Interfaces

abstract interface

Interface definition for meshwise timestepping routine.

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  • private subroutine mesh_timestep(minLevel, maxLevel, currentLevel, cubes, tree, timestep_list, nSteps, equation, general, commStateTimer, poly_proj_list)

    Arguments

    Type IntentOptional Attributes Name
    integer, intent(in) :: minLevel

    The minimum refinement level of the mesh.
    integer, intent(in) :: maxLevel

    The maximum refinement level of the mesh.
    integer, intent(in) :: currentLevel

    The level the timestep has to be performed for.
    type(atl_cube_container_type), intent(inout) :: cubes

    Container for the cubical elements.
    type(treelmesh_type), intent(in) :: tree

    treelm mesh
    type(atl_timestep_type), intent(inout) :: timestep_list(:)

    List of levelwise timestepping algorihtms
    integer, intent(in) :: nSteps

    The number of steps of the time stepping scheme
    type(atl_Equations_type), intent(inout) :: equation

    The equation you are operating with.
    type(tem_general_type), intent(inout) :: general

    General treelm settings
    integer, intent(inout) :: commStateTimer

    Timer for measuring the communication time inside this routine.
    type(ply_poly_project_type), intent(inout) :: poly_proj_list(:)

    unique list for projection methods

Derived Types

type, public ::  atl_timestep_control_type

Datatype to represent the control of timesteps.

Components

Type Visibility Attributes Name Initial
real(kind=rk), public :: cfl

The cfl number that has to be satisfied by the timestep (for the convective part of the equation).
real(kind=rk), public :: cfl_visc

The cfl number that has to be satisfied by the timestep (for the viscous part of the equation).
logical, public :: use_modal_estimate = .false.

Flag to indicate whether to use modal min/max estimations in computation of timestep limitation.
real(kind=rk), public :: fixed_dt

Fixed timestep length

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type, public ::  atl_global_timestep_type

Components

Type Visibility Attributes Name Initial
integer, public :: timestepType = 0

The type of the timestepping. See the parameters above:

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integer, public :: nSteps = 0

The number of steps in the time-stepping scheme
type(atl_timestep_control_type), public :: control

The data controlling the timestep sizes.
procedure(mesh_timestep), public, pointer, nopass :: meshStep => null()

The final timestep stage.
real(kind=rk), public, allocatable :: timestepCoeff(:)

Additional storage for multisptep/multistage timestepping schemes where additional coefficients are required. The usage and the dimensions of this array is left to the solver and is therefore varying for different timestepping schemes.
type(atl_timestep_type), public, allocatable :: elementSteps(:)

Datatypes for elementwise timestepping. One for each level.