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Arbitrary domain velocity analyses for the incompressible Navier-Stokes equations. (English) Zbl 0797.76071

The paper describes the development of a calculation procedure for the incompressible Navier-Stokes equations in arbitrary domains. The method is based on the finite-volume formulation in the arbitrary Lagrangian- Eulerian grid. The physical geometrical quantities are directly applied. A split velocity concept is used to link the interferences of adjacent pressure nodes and eliminate the pressure wiggle problem. Numerical results show that the presented method yields an efficient and robust tool for fluid flow problems and heat transfer processes with complicated boundaries.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D05 Navier-Stokes equations for incompressible viscous fluids
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