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A method of domain decomposition for calculating the steady flow past a cylinder. (English) Zbl 0804.76025

Summary: For flow past a cylinder it is known that the vorticity is only significant in a thin boundary-layer adjacent to the surface and within a parabolic wake far from the cylinder. To address this behaviour of the vorticity, a numerical method is implemented whereby the flow field is decomposed into two regions: an inner region to deal with boundary-layer phenomena and an outer region to model wake phenomena. This method equally applies to any cylinder cross section. The equations of motion are solved in each region and matched at the boundary. Numerical solutions have been carried out for the trial case of a circular cylinder, and the agreement with existing results is good.

MSC:

76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76M25 Other numerical methods (fluid mechanics) (MSC2010)
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
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References:

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