Two-Phase-Flow Unstructured Grid Solver: Application to Tsunami Wave Impact

Frederic Golay (1) , Alioune Nar Sambe (1, 2) , Damien Sous (2) , Philippe Fraunié (2) , Vincent Rey (3) , Richard Marcer (4) , Christine Dejouette (5)

1 IMATH - Institut de Mathématiques de Toulon - EA 2134
2 MIO - Institut méditerranéen d'océanologie
3 OPLC
4 LSEET - Laboratoire de sondages électromagnétiques de l'environnement terrestre
5 Chercheur indépendant

This paper describes the CFD of incompressible air-water flows by solving Euler equations with a 2-phase flow model leading to a hyperbolic system of conservation laws solved with a finite volume discretization on unstructured grids. An artificial compressibility approach allows for a fully explicit scheme for an efficient parallel implementation. The numerical model is based on a low Mach number preconditioning and a 2nd-order Riemann solver. Applications to breaking waves on a 15% slope with and without the influence of macro-roughness are performed concerning impact and run-up processes on the beach.

Keywords: Wave breaking; finite volume; Godunov scheme; air-water interface; run-up; macro-roughness

Domains: Mechanics [physics.med-ph]

Frederic Golay, Alioune Nar Sambe, Damien Sous, Philippe Fraunié, Vincent Rey, et al.. Two-Phase-Flow Unstructured Grid Solver: Application to Tsunami Wave Impact. International Journal of Offshore and Polar Engineering (IJOPE), 2011, 21 (3), pp.186-191. ⟨hal-00979038⟩