Base Solver#
- class pybamm.BaseSolver(method=None, rtol=1e-06, atol=1e-06, root_method=None, root_tol=1e-06, extrap_tol=None, output_variables=None)[source]#
Solve a discretised model.
- Parameters:
method (str, optional) – The method to use for integration, specific to each solver
rtol (float, optional) – The relative tolerance for the solver (default is 1e-6).
atol (float, optional) – The absolute tolerance for the solver (default is 1e-6).
root_method (str or pybamm algebraic solver class, optional) – The method to use to find initial conditions (for DAE solvers). If a solver class, must be an algebraic solver class. If “casadi”, the solver uses casadi’s Newton rootfinding algorithm to find initial conditions. Otherwise, the solver uses ‘scipy.optimize.root’ with method specified by ‘root_method’ (e.g. “lm”, “hybr”, …)
root_tol (float, optional) – The tolerance for the initial-condition solver (default is 1e-6).
extrap_tol (float, optional) – The tolerance to assert whether extrapolation occurs or not. Default is 0.
output_variables (list[str], optional) – List of variables to calculate and return. If none are specified then the complete state vector is returned (can be very large) (default is [])
- calculate_consistent_state(model, time=0, inputs=None)[source]#
Calculate consistent state for the algebraic equations through root-finding. model.y0 is used as the initial guess for rootfinding
- Parameters:
model (
pybamm.BaseModel
) – The model for which to calculate initial conditions.time (float) – The time at which to calculate the initial conditions
inputs (dict, optional) – Any input parameters to pass to the model when solving
- Returns:
y0_consistent – Initial conditions that are consistent with the algebraic equations (roots of the algebraic equations). If self.root_method == None then returns model.y0.
- Return type:
array-like, same shape as y0_guess
- check_extrapolation(solution, events)[source]#
Check if extrapolation occurred for any of the interpolants. Note that with the current approach (evaluating all the events at the solution times) some extrapolations might not be found if they only occurred for a small period of time.
- Parameters:
solution (
pybamm.Solution
) – The solution objectevents (dict) – Dictionary of events
- static get_termination_reason(solution, events)[source]#
Identify the cause for termination. In particular, if the solver terminated due to an event, (try to) pinpoint which event was responsible. If an event occurs the event time and state are added to the solution object. Note that the current approach (evaluating all the events and then finding which one is smallest at the final timestep) is pretty crude, but is the easiest one that works for all the different solvers.
- Parameters:
solution (
pybamm.Solution
) – The solution objectevents (dict) – Dictionary of events
- set_up(model, inputs=None, t_eval=None, ics_only=False)[source]#
Unpack model, perform checks, and calculate jacobian.
- Parameters:
model (
pybamm.BaseModel
) – The model whose solution to calculate. Must have attributes rhs and initial_conditionsinputs (dict, optional) – Any input parameters to pass to the model when solving
t_eval (numeric type, optional) – The times at which to stop the integration due to a discontinuity in time.
- solve(model, t_eval=None, inputs=None, nproc=None, calculate_sensitivities=False, t_interp=None)[source]#
Execute the solver setup and calculate the solution of the model at specified times.
- Parameters:
model (
pybamm.BaseModel
) – The model whose solution to calculate. Must have attributes rhs and initial_conditions. All calls to solve must pass in the same model or an error is raisedt_eval (None, list or ndarray, optional) – The times (in seconds) at which to compute the solution. Defaults to None.
inputs (dict or list, optional) – A dictionary or list of dictionaries describing any input parameters to pass to the model when solving
nproc (int, optional) – Number of processes to use when solving for more than one set of input parameters. Defaults to value returned by “os.cpu_count()”.
calculate_sensitivities (list of str or bool, optional) – Whether the solver calculates sensitivities of all input parameters. Defaults to False. If only a subset of sensitivities are required, can also pass a list of input parameter names
t_interp (None, list or ndarray, optional) – The times (in seconds) at which to interpolate the solution. Defaults to None. Only valid for solvers that support intra-solve interpolation (IDAKLUSolver).
- Returns:
If type of inputs is list, return a list of corresponding
pybamm.Solution
objects.- Return type:
pybamm.Solution
or list ofpybamm.Solution
objects.- Raises:
pybamm.ModelError – If an empty model is passed (model.rhs = {} and model.algebraic={} and model.variables = {})
RuntimeError – If multiple calls to solve pass in different models
- step(old_solution, model, dt, t_eval=None, npts=None, inputs=None, save=True, t_interp=None)[source]#
Step the solution of the model forward by a given time increment. The first time this method is called it executes the necessary setup by calling self.set_up(model).
- Parameters:
old_solution (
pybamm.Solution
or None) – The previous solution to be added to. If None, a new solution is created.model (
pybamm.BaseModel
) – The model whose solution to calculate. Must have attributes rhs and initial_conditionsdt (numeric type) – The timestep (in seconds) over which to step the solution
t_eval (list or numpy.ndarray, optional) – An array of times at which to stop the simulation and return the solution during the step (Note: t_eval is the time measured from the start of the step, so should start at 0 and end at dt). By default, the solution is returned at t0 and t0 + dt.
npts (deprecated)
inputs (dict, optional) – Any input parameters to pass to the model when solving
save (bool, optional) – Save solution with all previous timesteps. Defaults to True.
t_interp (None, list or ndarray, optional) – The times (in seconds) at which to interpolate the solution. Defaults to None. Only valid for solvers that support intra-solve interpolation (IDAKLUSolver).
- Raises:
pybamm.ModelError – If an empty model is passed (model.rhs = {} and model.algebraic = {} and model.variables = {})