spectral_galerkin_heat.solvers.spectral_cpu_linear

Spectral CPU Linear Solver Implementation.

Classes

SpectralSolverCPULinear implements a strictly linear spectral method

class spectral_galerkin_heat.solvers.spectral_cpu_linear.SpectralSolverCPULinear(context=None)

SpectralSolverCPULinear implements a strictly linear spectral method for solving the heat equation on the CPU.

It disables latent heat and evaporation, applying only the laser source. Useful for testing against exact linear analytical solutions.

Parameters:: context (spectral_galerkin_heat.core.parameters.SimulationContext | None)

initialize(context=None)

Set up the spectral solver state, allocate buffers, and set the initial condition.

Parameters:: context (SimulationContext, optional) – If provided, replaces the stored SimulationContext. By default None.
Returns:: The initialized solver state object containing grid buffers and spectra.
Return type:: spectral_galerkin_heat.physics.spectral_cpu_kernels.SpectralSolverState
Raises:: RuntimeError – If SimulationContext is neither provided here nor at construction.

step(t, dt)

Advance the spectral solution by one time step linearly.

Only the laser source is applied. No latent heat or evaporation.

Parameters:

Returns:

SsStatespectral_galerkin_heat.physics.spectral_cpu_kernels.SpectralSolverState: The updated linear solver state.
metricsdict: Metrics from the iteration, such as max temperature and number of evaporation steps.

Return type:

tuple

set_state(temperature_field)

Overwrite the internal spectral coefficients from a spatial temperature field.

Parameters:: temperature_field (np.ndarray) – A 3-D array (shape (N_z, N_y, N_x)) containing temperatures.
Raises:: RuntimeError – If called before the solver is initialized.
Return type:: None

finalize()

Clean up CPU resources.