The effect of choosing dependent variables and cell‐face velocities on convergence of the SIMPLE algorithm using non‐orthogonal grids

Abstract

In this paper the effects of choosing dependent variables and cell face velocities on convergence of the SIMPLE algorithm are discussed. Using different velocity components as either dependent variables or cell‐face velocities, both convergent rate and calculation accuracy of the algorithm are compared and studied. A novel method, named “cross‐correction”, is developed to improve the convergence of the algorithm of using non‐orthogonal grids. Cases with benchmark and analytical solutions are used for numerical experiments and validation. The results show that, although different velocity components are employed as either dependent variables or cell face velocities, there is no obvious difference in both the convergent rates and numerical solutions. Moreover, the “cross‐correction” method is validated by computations with several first‐order and high‐order convection schemes; and the generality of convergence improvement achieved by the method is shown in the paper.

Citation

Lai, H. and Yan, Y.Y. (2001), "The effect of choosing dependent variables and cell‐face velocities on convergence of the SIMPLE algorithm using non‐orthogonal grids", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 11 No. 6, pp. 524-546. https://doi.org/10.1108/EUM0000000005667