Abstract
Most of the fluid flow situations may be described by non-linear partial differential Navier-Stokes equations. For incompressible flow, fluid density is assumed constant and hence equation of state cannot be utilized for coupling the continuity equation with the momentum equation. Researchers have developed and used the SIMPLE, SIMPLER and derived quantity based schemes for solution of incompressible Navier Stokes equations. Solution convergence is an important criteria for judging any numerical scheme and hence convergence studies are performed on a standard 2-D lid driven cavity problem for SIMPLE, SIMPLER and stream function-vorticity based method to solve N-S equations for incompressible flow. Convergence studies are performed and reported for two values of Reynolds number i.e. 100 and 400.
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