Abstract. This paper is devoted to the numerical simulation of wave breaking. It presents the results of a numerical workshop that was held during the conference LOMA04. The objective is to compare several mathematical models (compressible or incompressible) and associated numerical methods to compute the flow field during a wave breaking over a reef. The methods will also be compared with experiments.Mathematics Subject Classification. 65M12, 74S10.

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SUMMARYThis paper describes the development of a semi-Lagrangian computational method for simulating complex 3D two phase ows. The Navier-Stokes equations are solved separately in both uids using a robust pseudo-compressibility method able to deal with high density ratio. The interface tracking is achieved by the segment Lagrangian volume of uid (SL-VOF) method. The 2D SL-VOF method using the concepts of VOF, piecewise linear interface calculation (PLIC) and Lagrangian advection of the interface is herein extended to 3D ows. Three di erent test cases of SL-VOF 3D are presented for validation and comparison either with 2D ows or with other numerical methods. A good agreement is observed in each case.

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