Numerical schemes for low Mach wave breaking

Frederic Golay (1) , Philippe Helluy (2)

1 ANLA - Laboratoire d'Analyse Non Linéaire Appliquée
2 IRMA - Institut de Recherche Mathématique Avancée

In this work, we describe a finite volume scheme for the compu- tation 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 the non-conservative approach that is used to suppress velocity-pressure oscillations, the second order extensions and the parallel implementation. Then it is applied to the simulation of the breaking of a wave on a 15% slope.

Domaines: Equations aux dérivées partielles [math.AP]

Frederic Golay, Philippe Helluy. Numerical schemes for low Mach wave breaking. International Journal of Computational Fluid Dynamics, 2007, 21 (2), pp.69-86. ⟨10.1080/10618560701343382⟩. ⟨hal-00139634⟩