Finite volume methods for two-dimensional incompressible flows with complex boundaries

Abstract

The paper discusses possible ways of developing accurate and efficient finite volume methods for complex, incompressible flows. The issues of boundary-fitted grid generation, choice of coupled or uncoupled procedures, Cartesian or grid-aligned velocity components, staggered or non-staggered variable arrangement, discretization methods, solution algorithms and convergence acceleration by multigrid methods are addressed. An example of a finite volume method for general two-dimensional flows is described in some detail and applications of this method to a variety of flows are presented.