Solution of the incompressible Navier-Stokes equations using artificial compressibility methods
A modified artificial compressibility formulation is derived from a preconditioned low Mach number compressible formulation, and these two methods are compared on a two-dimensional laminar leading edge flow using a LBI/ADI solution algorithm. The two methods are essentially equivalent with appropriate preconditioning parameters and have the same convergence rates and efficiency, giving 4 orders of residual reduction in about 75 iterations with a vectorized CRAY-XMP run time of 20 seconds for 3000 grid points.
KeywordsMach Number Horseshoe Vortex Matrix Precondition Compressible Formulation Edge Flow
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