HIGH-ORDER COMPACT FINITE DIFFERENCE SOLUTION OF NAVIER-STOKES EQUATIONS
Keywords:
High-order compact schemes, channel flow, driven cavity flowAbstract
This work involves the application and testing of a Hermitian fourth-order accurate compact
finite-difference scheme for solving the two-dimensional, incompressible, Navier-Stokes equations in vorticity-stream function form . The steady, laminar flow in the inlet section of a 2-D channel and the flow in a driven square cavity are studied. The time dependent form of the Navier-Stokes equations are solved by an implicit AD! procedu re until the steady state solutions are obtained. Results obtained are found to compare favorab ly with data published in the literature
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