ldc.FVSolver

class ldc.FVSolver(**kwargs)

Bases: LidDrivenCavitySolver

Finite volume solver for lid-driven cavity problem.

This solver uses a collocated grid arrangement with Rhie-Chow interpolation for pressure-velocity coupling using the SIMPLE algorithm.

Parameters:

configFVinfo

Configuration with physics (Re, lid velocity, domain size) and FV-specific parameters (nx, ny, convection scheme, etc.).

Methods

__init__	Initialize FV solver.
save	Save results to HDF5 file.
solve	Solve the lid-driven cavity problem using iterative stepping.
step	Perform one SIMPLE iteration.

Attributes

rho

Examples using ldc.FVSolver

Lid-Driven Cavity Flow Computation

Lid-Driven Cavity Flow Computation

Config

alias of FVinfo

ResultFields

alias of FVResultFields

rho = 1.0

save(filepath)

Save results to HDF5 file.

Parameters:

filepathstr or Path

Output file path.

solve(tolerance: float = None, max_iter: int = None)

Solve the lid-driven cavity problem using iterative stepping.

This method implements the common iteration loop with residual calculation. Subclasses implement step() to define one iteration.

Stores results in solver attributes: - self.fields : Fields dataclass with solution fields - self.time_series : TimeSeries dataclass with time series data - self.metadata : Metadata dataclass with solver metadata

Parameters:

tolerancefloat, optional

Convergence tolerance. If None, uses config.tolerance.

max_iterint, optional

Maximum iterations. If None, uses config.max_iterations.

step()

Perform one SIMPLE iteration.

Returns:

u, v, pnp.ndarray

Updated velocity and pressure fields