Abstract
The two-dimensional Navier-Stokes equations are solved for compressible and incompressible flows using momentum component variables instead of velocity variables. The control-volume based finite-element method is used to treat the governing equations. The method is based on a pressure-based algorithm instead of density-based algorithms which compressible methods normally use. The proper selection of the connections between the variables on control volume surfaces and the main nodal values allow the use of a colocated grid arrangement. The compressible and incompressible results of this algorithm are illustrated by calculations of the two-dimensional flows in the driven cavity, an entrance region flow, and a convergent-divergent nozzle flow. These results demonstrate excellent performance of the procedure. (Author)
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