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A complementary volume approach for modelling three-dimensional Navier- Stokes equations using dual Delaunay/Voronoi tessellations. (English) Zbl 0815.76041

Summary: We describe a new mathematical approach for deriving and solving covolume models of the three-dimensional, incompressible Navier-Stokes flow equations. The approach integrates three technical components into a single modeling algorithm: automatic grid generation; covolume equation generation; dual variable reduction.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76M20 Finite difference methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
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