gemseo_umdo / use_cases / heat_equation

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configuration module

A configuration for the heat equation model.

[HeatEquationConfiguration][gemseo_umdo.use_cases.heat_equation.configuration.HeatEquationConfiguration] is used by [HeatEquationModel][gemseo_umdo.use_cases.heat_equation.model.HeatEquationModel]; read its docstring for more details.

class gemseo_umdo.use_cases.heat_equation.configuration.HeatEquationConfiguration(mesh_size=100, n_modes=21, final_time=0.5, nu_bounds=(0.001, 0.009), rod_length=1.0)[source]

Bases: object

A configuration for the heat equation model.

Parameters:

  • mesh_size (int) –

    By default it is set to 100.

  • n_modes (int) –

    By default it is set to 21.

  • final_time (float) –

    By default it is set to 0.5.

  • nu_bounds (tuple[float, float]) –

    By default it is set to (0.001, 0.009).

  • rod_length (float) –

    By default it is set to 1.0.

cost: int

The evaluation cost of the [HeatEquationModel][gemseo_umdo.use_cases.heat_equation.model.HeatEquationModel].

expectation: float

The theoretical expectation of the integral of the temperature along the rod.

final_time: float = 0.5

The time of interest, denoted $t_f$.

mesh: ndarray[Any, dtype[float]]

The mesh for the [HeatEquationModel][gemseo_umdo.use_cases.heat_equation.model.HeatEquationModel].

mesh_size: int = 100

The number of equispaced spatial nodes.

n_modes: int = 21

The number of modes of the truncated Fourier expansion.

nu_bounds: tuple[float, float] = (0.001, 0.009)

The bounds of the thermal diffusivity.

rod_length: float = 1.0

The length of the rod.