Auto up-wind and skew up-wind numerical solution of 3D convection-diffusion equation under high reynods number

Abstract

The convective item of 3D convection-diffusion equation is difficult to handle at high Reynolds number. Auto up-wind and skew up-wind are kept by adopting standard twenty-seven point s scheme. Meanwhile, the contribution of corner points is calculated. When u, v and w equal to 1, the irrational condition that one corner point gains absolute advantages is not formed. While u is not equal to v, the primary flow direction, velocity and weight coefficient can be obtained respectively in this paper. Weight coefficient is changed from 6 points and 18 points to 26 points. This paper computes the coefficients of 26 points of 3D example and compares this method with Finite Analytic method (FAM). It can be used on all kinds of occasions of fluid-flow.