Higher-Order Models

class pybamm.lead_acid.BaseHigherOrderModel(options=None, name='Composite model', build=True)

Base model for higher-order models for lead-acid, from [1]. Uses leading-order model from pybamm.lead_acid.LOQS

Parameters:

• options (dict, optional) – A dictionary of options to be passed to the model.
• name (str, optional) – The name of the model.
• build (bool, optional) – Whether to build the model on instantiation. Default is True. Setting this option to False allows users to change any number of the submodels before building the complete model (submodels cannot be changed after the model is built).

References

[1]	(1, 2, 3) V Sulzer, SJ Chapman, CP Please, DA Howey, and CW Monroe. Faster lead-acid battery simulations from porous-electrode theory: Part II. Asymptotic analysis. Journal of The Electrochemical Society 166.12 (2019), A2372–A2382.

Extends: pybamm.lead_acid.BaseModel

set_full_convection_submodel()

Update convection submodel, now that we have the spatially heterogeneous interfacial current densities

set_full_interface_submodel()

Set full interface submodel, to get spatially heterogeneous interfacial current densities

set_full_porosity_submodel()

Update porosity submodel, now that we have the spatially heterogeneous interfacial current densities

class pybamm.lead_acid.FOQS(options=None, name='FOQS model', build=True)

First-order quasi-static model for lead-acid, from [1]. Uses leading-order model from pybamm.lead_acid.LOQS

Parameters:

• options (dict, optional) – A dictionary of options to be passed to the model.
• name (str, optional) – The name of the model.
• build (bool, optional) – Whether to build the model on instantiation. Default is True. Setting this option to False allows users to change any number of the submodels before building the complete model (submodels cannot be changed after the model is built).
• **Extends (** pybamm.lead_acid.BaseHigherOrderModel) –

set_full_porosity_submodel()

Update porosity submodel, now that we have the spatially heterogeneous interfacial current densities

class pybamm.lead_acid.Composite(options=None, name='Composite model', build=True)

Composite model for lead-acid, from [1]. Uses leading-order model from pybamm.lead_acid.LOQS

Extends: pybamm.lead_acid.BaseHigherOrderModel

set_full_porosity_submodel()

Update porosity submodel, now that we have the spatially heterogeneous interfacial current densities

class pybamm.lead_acid.CompositeExtended(options=None, name='Extended composite model (distributed)', build=True)

Extended composite model for lead-acid. Uses leading-order model from pybamm.lead_acid.LOQS

Parameters:

• options (dict, optional) – A dictionary of options to be passed to the model.
• name (str, optional) – The name of the model.
• build (bool, optional) – Whether to build the model on instantiation. Default is True. Setting this option to False allows users to change any number of the submodels before building the complete model (submodels cannot be changed after the model is built).

Extends: pybamm.lead_acid.BaseHigherOrderModel