cideMOD.models.PXD.thermal.equations

Classes

ThermalModelEquations()

class cideMOD.models.PXD.thermal.equations.ThermalModelEquations

Bases: BaseCellModelEquations

T_equation(var, component, q, dx, DT)

Implements variational form of Temperature Equation

Parameters:

• var (ProblemVariables) –

  Object that store the preprocessed problem variables. Requires:

  • f_0.temp : Function - Temperature field previous timestep

  • temp : Function - Temperature

  • test.temp : TestFunction - Temperature equation TestFunction

• component (BaseCellComponent) –

  Object where component parameters are preprocessed and stored. Contains:

  • rho : Constant or similar - Density of the material

  • c_p : Constant or similar - Specific heat of material

  • k_t : Constant or similar - Heat Conductivity of material

  • grad : function - python function that returns the UFL gradient of the argument

  • L : Constant - Thickness used to normalize the domain

• q (Sum or Expression or similar) – Heat generated

• dx (Measure) – Measure of the domain over the integral must integrate

• DT (TimeScheme) – Instance of the TimeScheme class

Returns:

Temperature Equation

Return type:

Form

build_weak_formulation(eq: ProblemEquations, var: ProblemVariables, cell: BatteryCell, mesher: BaseMesher, DT: TimeScheme, W: BlockFunctionSpace, problem) → None

This method builds the weak formulation of the thermal model.

Parameters:

• equations (ProblemEquations) – Object that contains the system of equations of the problem.

• var (ProblemVariables) – Object that store the preprocessed problem variables.

• cell (BatteryCell) – Object where cell parameters are preprocessed and stored.

• mesher (BaseMesher) – Object that store the mesh information.

• DT (TimeScheme) – Object that provide the temporal derivatives with the specified scheme.

• W (BlockFunctionSpace) – Object that store the function space of each state variable.

• problem (Problem) – Object that handles the battery cell simulation.

build_weak_formulation_stationary(eq: ProblemEquations, var: ProblemVariables, cell: BatteryCell, mesher: BaseMesher, W: BlockFunctionSpace, problem)

This method builds and adds the weak formulation of the thermal model that will be used to solve the stationary problem.

Parameters:

• equations (ProblemEquations) – Object that contains the system of equations of the stationary problem.

• var (ProblemVariables) – Object that store the preprocessed problem variables.

• cell (BatteryCell) – Object where cell parameters are preprocessed and stored.

• mesher (BaseMesher) – Object that store the mesh information.

• W (BlockFunctionSpace) – Object that store the function space of each state variable.

• problem (Problem) – Object that handles the battery cell simulation.

build_weak_formulation_transitory(eq: ProblemEquations, var: ProblemVariables, cell: BatteryCell, mesher: BaseMesher, W: BlockFunctionSpace, problem)

This method builds and adds the weak formulation of the thermal model that will be used to solve the transitory problem.

Parameters:

• equations (ProblemEquations) – Object that contains the system of equations of the transitory problem.

• var (ProblemVariables) – Object that store the preprocessed problem variables.

• cell (BatteryCell) – Object where cell parameters are preprocessed and stored.

• mesher (BaseMesher) – Object that store the mesh information.

• W (BlockFunctionSpace) – Object that store the function space of each state variable.

• problem (Problem) – Object that handles the battery cell simulation.

electrolyte_ohmic_heat_equation(kappa, kappa_D, phi_e, c_e, test, dx, grad, L, eps)

get_solvers_info(solvers_info, problem) → None

This method get the solvers information that concerns the thermal model.

Parameters:

• solvers_info (dict) – Dictionary containing solvers information.

• problem (Problem) – Object that handles the battery cell simulation.

q_equation(component, var, dx)

reaction_irreversible_heat(material, j_Li, test, eta, dx, L)

reaction_reversible_heat(material, j_Li, T, c_s, current, test, dx, L)

solid_ohmic_heat_equation(sigma, phi_s, test, dx, grad, L, eps)