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An unstructured grid-based, parallel free surface solver. (English) Zbl 0951.76040
Summary: We present an unstructured grid-based, parallelfree surface solver. The overall scheme combines a finite-element, equal-order, projection-type three-dimensional incompressible flow solver with a finite element, two-dimensional advection equation solver for the free surface equation. For steady-state applications, the mesh is not moved at every timestep, in order to reduce the cost of geometry recalculations and surface repositioning. A number of modifications required for efficient processing on shared-memory, cache-based parallel machines are discussed, and timings are shown that indicate scalability to a modest number of processors. The results show good quantitative agreement with experiments and the results of other techniques.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76B20 Ship waves
65Y05 Parallel numerical computation
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