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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.

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