cideMOD.models.particle_models.implicit_coupling

Classes

NondimensionalSpectralModel(order)
SpectralLegendreModel(order)	Particle Intercalation resolved with Legendre Polinomials.
StressEnhancedSpectralModel(order)

class cideMOD.models.particle_models.implicit_coupling.NondimensionalSpectralModel(order)

Bases: SpectralLegendreModel

get_value(value, index, f, electrode)

wf_implicit_coupling(f_0, f_1, test, electrode, dx: ufl.Measure, DT, materials: List, nd_model)

Weak formulation without using this implicit method

class cideMOD.models.particle_models.implicit_coupling.SpectralLegendreModel(order)

Bases: StrongCoupledPM

Particle Intercalation resolved with Legendre Polinomials. Diffusion is modeled with Fick’s law.

Li_amount(f, electrode, materials: List, dx, volume_factor=1)

build_legendre(order)

Builds mass matrix, stiffness matrix and boundary vector using Legendre Polinomials. The domain used is [0,1] and only pair Legendre polinomials are used to enforce zero flux at x=0.

Parameters:

order (int) – number of Legendre polinomials to use

Returns:

Mass matrix, Stiffness matrix, boundary vector

Return type:

tuple

c_s_r_average(f, electrode)

c_s_surf(f, electrode)

Update implicit model with results calculated without it

fields(n_mat, electrode)

List of fields that will be used in the mesoscale formulation, defaults to an empty list.

Returns:

Names of fields used

Return type:

List

get_value(value, f, electrode, mat)

initial_guess(f_0, electrode, c_s_ini, fs_mapper)

Assign initial guess to the corresponding fields

Parameters:

• Function (Function) – Dolfin Function to assign initial values

• Expression (Expression or Function) – Dolfin Expression or Function containing the initial values

wf_0(f_0, f_1, test, electrode, dx)

Weak Formulation for the initialization of the problem dc_s/dt = 0

wf_explicit_coupling(f_0, f_1, test, electrode, dx)

Weak Formulation for this implicit method

wf_implicit_coupling(f_0, f_1, test, electrode, dx: ufl.Measure, DT, materials: List, F, R)

Weak formulation without using this implicit method

class cideMOD.models.particle_models.implicit_coupling.StressEnhancedSpectralModel(order)

Bases: SpectralLegendreModel

build_legendre(order)

Builds mass matrix, stiffness matrix and boundary vector using Legendre Polinomials. The domain used is [0,1] and only pair Legendre polinomials are used to enforce zero flux at x=0.

Parameters:

order (int) – number of Legendre polinomials to use

Returns:

Mass matrix, Stiffness matrix, boundary vector

Return type:

tuple

get_average_c_s(f, domain)

theta(material, R, T)

wf_implicit_coupling(f_0, f_1, test, electrode, dx: ufl.Measure, DT, materials, F, R)

Weak formulation without using this implicit method