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An efficient artificial compressibility (AC) scheme based on the characteristic based split (CBS) method for incompressible flows. (English) Zbl 1072.76040

Summary: An artificial compressibility scheme using the finite element method is introduced. The multi-purpose CBS scheme is implemented in its fully explicit form to solve incompressible fluid dynamics problems. It is important to note that the scheme developed here includes split and velocity correction. The proposed method takes advantage of good features from both velocity correction and standard artificial compressibility schemes. Unlike many other artificial compressibility schemes, the proposed one works on a variety of grids and gives results for a wide range of Reynolds numbers. The paper presents some benchmark two- and three-dimensional steady and unsteady incompressible flow solutions obtained by the proposed scheme.

MSC:

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