Cartesian cut cell free surface capturing solver for wave floating body interactions

Qian, Ling, Causon, Derek M. and Mingham, Clive G. (2007) Cartesian cut cell free surface capturing solver for wave floating body interactions. [Conference or Workshop Item]

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Abstract

A newly developed free surface capturing code based on a two fluid formulation of Navier-Stokes equations and Cartesian cut cell grid system has been applied to study wave/floating body interaction problems. The basic flow solver uses an efficient dual time-stepping artificial compressibility algorithm and modern Riemann solver based upwind schemes of the Godunov-type which capture the moving free surface accurately as part of the numerical solution. Mesh generation in the conventional sense is eliminated in favour of defining local cut cell data on a stationary background Cartesian grid. For wave/floating body interaction problems where bodies can undergo arbitrary movement in response to the incoming waves, the only required changes to the meshing procedures consist of local updates to the cut cell data at the boundaries that are in motion. A test case has been simulated and the results are in a good agreement with available experimental data. The numerical model is generic and can be applied to a number of engineering flow problems such as green water overtopping of vessels and offshore floating structures.