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A singular finite difference treatment of re-entrant corner flow Part 1: Newtonian fluids

1981; Elsevier BV; Volume: 8; Issue: 1-2 Linguagem: Inglês

10.1016/0377-0257(81)80007-9

1873-2631

H. Holstein, Derek J. Paddon,

Fluid Dynamics and Turbulent Flows

Moffatt [1] has given a series solution for the steady flow of a viscous fluid in the neighbourhood of a sharp corner. A method of incorporating this solution into a finite difference scheme is described here, for the case of a rectangular re-entrant corner. Only minor adjustments to the usual finite difference scheme are required. Computational results for the flow through a contraction geometry are given.