Abstract
In this work, we describe a finite volume scheme for the computation of incompressible air–water flows. We use an artificial compressibility approach that permits us to use a completely explicit scheme. We describe successively the low Mach preconditioning of the scheme, the Riemann solver and then the non-conservative approach that is used to suppress velocity-pressure oscillations, the second order extensions and the parallel implementation. Then this is applied to the simulation of the breaking of a wave on a 15% slope.
Notes
§ MUSCL stands for monotonic upwind scheme for conservation laws.
∥ WLSQR stands for weighted least SQUare.
# WENO stands for weighted essentially non oscillatory.