A simple method for improving the SIMPLER algorithm for numerical simulations of incompressible fluid flow and heat transfer problems

Abstract

Purpose

To provide an improved version of SIMPLER algorithm which can enhance the convergence rate of the iterative solution procedure in the field of computational fluid dynamics analysis.

Design/methodology/approach

The improved version of SIMPLER algorithm is developed by modifying the coefficients of the velocity correction equation and implementing the correction of pressure within an iteration cycle.

Findings

The CSIMPLER algorithm (the improved version) can enhance the convergence rate for almost all cases tested, especially for the low under‐relaxation factor situations. The pressure correction term even can be overrelaxed to further enhance the convergence rate.

Research limitations/implications

The CSIMPLER algorithm can enhance the rate of convergence to different degree for different problems. It can only be adopted to solve the incompressible fluid flow and heat transfer.

Practical implications

CSIMPLER is a simple and effectual method to enhance the convergence rate of the iterative process for the computational fluid dynamics analysis. The existing code of SIMPLER can be easily changed to CSIMPLER.

Originality/value

The paper developed an improved version of SIMPLER algorithm with some minor changes in the existing SIMPLER code.

Citation

Liu, X.L., Tao, W.Q. and He, Y.L. (2005), "A simple method for improving the SIMPLER algorithm for numerical simulations of incompressible fluid flow and heat transfer problems", Engineering Computations, Vol. 22 No. 8, pp. 921-939. https://doi.org/10.1108/02644400510626488