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The dual variable method for solving fluid flow difference equations on Delaunay triangulations. (English) Zbl 0729.76047
Summary: A complementary volume discretization of the transient Navier-Stokes equations on a triangular mesh is viewed as a system defining flows on an associated network. The dual variable method transforms this primitive system into an equivalent system which is one-fifth the size of the primitive system, eliminates the pressures and yields velocities that are exactly discretely divergence free.

76M10 Finite element methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
Full Text: DOI
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