josie.heat package¶

Submodules¶

class josie.heat.problem.HeatProblem(transport)¶

A class representing a system governed by the heat equation

K(cells)¶

This is a scalar value, but DiffusiveProblem expects a 4th rank tensor

class josie.heat.schemes.HeatScheme(problem)¶: Bases: josie.scheme.diffusive.DiffusiveScheme

class josie.heat.solver.HeatSolver(mesh, scheme)¶

A solver for a system governed by the heat equation

class josie.heat.state.Q(*args, **kwargs)¶

class josie.heat.transport.ConstantHeatTransport(thermal_diffusivity)¶

A HeatTransport providing constant $\thermalDiffusivity$

Parameters: thermal_diffusivity (float) – The constant value of the thermal diffusivity

thermal_diffusivity(cells)¶

Thermal diffusivity $\thermalDiffusivity$ . Units: $\qty[\si{\meter \per \square \second}]$

$\alpha = \frac{\thermalConductivity}{\density \specificHeat_\pressure}$

class josie.heat.transport.HeatTransport¶

Bases: josie.transport.Transport

A class providing the thermal diffusivity for the temperature

abstract thermal_diffusivity(cells)¶

Thermal diffusivity $\thermalDiffusivity$ . Units: $\qty[\si{\meter \per \square \second}]$

$\alpha = \frac{\thermalConductivity}{\density \specificHeat_\pressure}$