A great deal of computational research has been undertaken and published in the field of Computational Fluid Dynamics (CFD) since the advent of the digital computer. Before 1970, the Finite Difference Method (FDM) was almost universally used as computer based numerical method in modelling fluid dynamical process . Since then there has been a revolution in the general area of mathematical modelling. Highly sophisticated and detailed analysis of many engineering problems has become possible. However, it can be argued that the last three decades have in many ways belonged to the Finite Element Method (FEM) as the method of choice among the currently available numerical methods for solving mathematical equations . This is borne out by the fact that FEM has been applied to as vast an array of physical problems as one can possibly imagine. Not surprisingly, fluid dynamics being one of the oldest branches of physics, has consequently been one of the main arenas of activity for researchers and practitioners of FEM. Despite the continued use of FDM and related techniques for routine fluid dynamics problems, FEM is increasingly the preferred numerical method for the analysis of the most complex types of flow problems with unrivalled accuracy.
KeywordsFinite Element Method Computational Fluid Dynamics Finite Difference Method Finite Difference Method Adaptive Analysis
Unable to display preview. Download preview PDF.
- B.P.Leonard. A survey of finite differences of opinion on numerical muddling of the incomprehensible defective confusion equation. In T.J.R.Hughes, editor, Finite Element Methods for Convection Dominated Flows, ASME, AMD, 1979.Google Scholar