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This paper presents a sharp free surface method for fully nonlinear flow oftwo immiscible phases for wave propagation problems in the Finite Volumeframework. The method resolves a sharp interface between two phases bycombining the geometric reconstruction Volume-of-Fluid scheme isoAdvector foraccurate advection of the free surface with the Ghost Fluid Method for theconsistent treatment of density and pressure gradient discontinuities at thefree surface. The method uses a compact computational stencil irrespective ofcell shape and is formally second-order accurate in time and space. The primaryfocus of this work is to present the combined method and verify and validate itfor wave-related problems in ocean sciences, marine and coastal engineering, byconsidering the following test cases: i) wave propagation of a two-dimensionalwave with moderate steepness, ii) green water (water-on-deck) simulations for aship model with violent free surface flow patterns. The method is implementedin OpenFOAM, an open source software for Computational Fluid Dynamics.

A Sharp Free Surface Finite Volume Method Applied to Gravity Wave Flows