SpECTRE
v2025.03.17
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#include <RungeKutta.hpp>
Classes | |
struct | ButcherTableau |
Public Member Functions | |
uint64_t | number_of_substeps () const override |
Number of substeps in this TimeStepper. More... | |
uint64_t | number_of_substeps_for_error () const override |
Number of substeps in this TimeStepper when providing an error measure for adaptive time-stepping. More... | |
size_t | number_of_past_steps () const override |
Number of past time steps needed for multi-step method. More... | |
bool | monotonic () const override |
Whether computational and temporal orderings of operations match. More... | |
TimeStepId | next_time_id (const TimeStepId ¤t_id, const TimeDelta &time_step) const override |
The TimeStepId after the current substep. More... | |
TimeStepId | next_time_id_for_error (const TimeStepId ¤t_id, const TimeDelta &time_step) const override |
The TimeStepId after the current substep when providing an error measure for adaptive time-stepping. More... | |
virtual const ButcherTableau & | butcher_tableau () const =0 |
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WRAPPED_PUPable_abstract (TimeStepper) | |
template<typename Vars > | |
void | update_u (const gsl::not_null< Vars * > u, const TimeSteppers::History< Vars > &history, const TimeDelta &time_step) const |
Set u to the value at the end of the current substep. More... | |
template<typename Vars > | |
std::optional< StepperErrorEstimate > | update_u (const gsl::not_null< Vars * > u, const TimeSteppers::History< Vars > &history, const TimeDelta &time_step, const std::optional< StepperErrorTolerances > &tolerances) const |
Set u to the value at the end of the current substep; report the error measure when available. More... | |
template<typename Vars > | |
void | clean_history (const gsl::not_null< TimeSteppers::History< Vars > * > history) const |
Remove old entries from the history. More... | |
template<typename Vars > | |
bool | dense_update_u (const gsl::not_null< Vars * > u, const TimeSteppers::History< Vars > &history, const double time) const |
Compute the solution value at a time between steps. To evaluate at a time within a given step, call this method at the start of the step containing the time. The function returns true on success, otherwise the call should be retried after the next substep. More... | |
virtual size_t | order () const =0 |
The convergence order of the stepper. More... | |
virtual uint64_t | number_of_substeps () const =0 |
Number of substeps in this TimeStepper. More... | |
virtual uint64_t | number_of_substeps_for_error () const =0 |
Number of substeps in this TimeStepper when providing an error measure for adaptive time-stepping. More... | |
virtual size_t | number_of_past_steps () const =0 |
Number of past time steps needed for multi-step method. More... | |
virtual double | stable_step () const =0 |
Rough estimate of the maximum step size this method can take stably as a multiple of the step for Euler's method. More... | |
virtual bool | monotonic () const =0 |
Whether computational and temporal orderings of operations match. More... | |
virtual TimeStepId | next_time_id (const TimeStepId ¤t_id, const TimeDelta &time_step) const =0 |
The TimeStepId after the current substep. More... | |
virtual TimeStepId | next_time_id_for_error (const TimeStepId ¤t_id, const TimeDelta &time_step) const =0 |
The TimeStepId after the current substep when providing an error measure for adaptive time-stepping. More... | |
template<typename Vars > | |
bool | can_change_step_size (const TimeStepId &time_id, const TimeSteppers::History< Vars > &history) const |
Whether a change in the step size is allowed before taking a step. Step sizes can never be changed on a substep. More... | |
Additional Inherited Members | |
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using | provided_time_stepper_interfaces = implementation defined |
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static constexpr bool | local_time_stepping = false |
static constexpr bool | imex = false |
Intermediate base class implementing a generic Runge-Kutta scheme.
Implements most of the virtual methods of TimeStepper for a generic Runge-Kutta method. From the TimeStepper interface, derived classes need only implement order
and stable_step
, and should not include the TIME_STEPPER_*
macros. All other methods are implemented in terms of a Butcher tableau returned by the butcher_tableau
function.
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overridevirtual |
Whether computational and temporal orderings of operations match.
If this method returns true, then, for two time-stepper operations occurring at different simulation times, the temporally earlier operation will be performed first. These operations include RHS evaluation, dense output, and neighbor communication. In particular, dense output never requires performing a RHS evaluation later than the output time, so control systems measurements cannot cause deadlocks.
Implements TimeStepper.
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overridevirtual |
The TimeStepId after the current substep.
Implements TimeStepper.
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overridevirtual |
The TimeStepId after the current substep when providing an error measure for adaptive time-stepping.
Certain substep methods (e.g. embedded RK4(3)) require additional steps when providing an error measure of the integration.
Implements TimeStepper.
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overridevirtual |
Number of past time steps needed for multi-step method.
Implements TimeStepper.
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overridevirtual |
Number of substeps in this TimeStepper.
Implements TimeStepper.
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overridevirtual |
Number of substeps in this TimeStepper when providing an error measure for adaptive time-stepping.
Certain substep methods (e.g. embedded RK4(3)) require additional steps when providing an error measure of the integration.
Implements TimeStepper.