Finite element analysis of viscous, incompressible fluid flow. II - Applications

The paper demonstrates the utility of a number of finite element computational procedures described in an earlier paper (Gartling and Becker, 1976) in solving some sample problems involving two-dimensional viscous incompressible fluid flow. A brief description of the computer code, based on the solid mechanics finite element code of Becker and Dunham (1973), is given. The three problems chosen to illustrate the methods are flow in a plane right-angle T, driven cavity flow, and flow over a circular cylinder. In the last two problems, a coarse-to-fine-mesh rezone procedure is shown to be an efficient and accurate means of increasing the local resolution in a solution field.