Title: Modified stability controllable second-order difference scheme for incompressible flow and heat transfer problems

Authors: Dazhong Yuan, Xuehu Ma

Addresses: Institute of Chemical Engineering, Dalian University of Technology, Dalian, Liaoning Province, 116012, China. ' Institute of Chemical Engineering, Dalian University of Technology, Dalian, Liaoning Province, 116012, China

Abstract: This paper mainly investigates the Stability Controllable Second-order Difference (SCSD) scheme for solving 2D convection-diffusion problems, a strong implicit iteration procedure is adopted together with the block correction technology and Pent-Diagonal Matrix Algorithm (PDMA). Non-uniform grid technology is also used for treating the nodes close to the domain boundaries. The scheme is verified via two benchmark problems, i.e., the lid-driven cavity flow and the natural convection in a cavity. It has been shown that the scheme has a rather good calculation stability and accuracy, implying that the proposed method has a wide applicability.

Keywords: SCSD Scheme; block correction method; PDMA; pent-diagonal matrix algorithm; stability control; second-order difference scheme; incompressible flow; heat transfer; convection diffusion; cavity flow; natural convection.

DOI: 10.1504/PCFD.2009.024832

Progress in Computational Fluid Dynamics, An International Journal, 2009 Vol.9 No.3/4/5, pp.300 - 305

Published online: 01 May 2009 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article