Recent Developments in Computational Fluid Dynamics

Using various kinds of finite difference techniques

Abstract

This paper provides an overview of computational fluid dynamics with emphasis on its recent advance in finite difference method.The typical structure of the linear convection equation, the invisid Burgers'equation and the convection diffusion equation is hightlighted and the way in which these equations are converted into computer-executable appropriate algorithms is illustrated. Especially, spatially third-order accurate schemes and more higher-order schemes (including the CIP scheme) will also be considered.
Some illustrated solutions of above equations will be obtained and finally typical solutions of two-dimensional incompressible Navier-Stokes equations will be shown.
The above solutions have been incorporated into some computer programs, and these listings are given in this paper.