Finite volume arbitrary Lagrangian-Eulerian schemes using dual meshes for ocean wave applications

For reasons of efficiency and accuracy, water wave propagation is often simulated with potential or inviscid models rather than Navier-Stokes solvers, but for wave-induced flows, such as wave-structure interaction, viscous effects are important under certain conditions. Alternatively, general purpose (CFD) can have limitations when applied to free-surface problems dealing large amplitude waves, run-up, over long distances. Here we present an Arbitrary Lagrangian-Eulerian (ALE) algorithm special care the time-stepping boundary conditions used free-surfaces, integrated into Code_Saturne, test its capabilities modeling a variety generation benchmarks, finally consider interaction vertical cylinder. Two variants mesh displacement computation proposed tested against discrete Geometric Conservation Law (GCL). The more robust variant, highly curved sawtoothed uses Compatible Discrete Operator scheme on dual solving displacement, which makes valid any polyhedral mesh. Results standard benchmarks both show that, taken avoid grids excessive numerical dissipation, this approach effective at reproducing profiles well forces bodies.