A MULTIPLE PASS SPACE-MARCHING METHOD FOR 3-DIMENSIONAL INCOMPRESSIBLE VISCOUS-FLOW

A new multiple pass space-marching method for the coupled three-dimensional form of the incompressible, partially parabolized Navier-Stokes equation is developed. Pseudocompressibility theory is incorporated to give a stable and convergent algorithm for internal flow computations. The effect of initial conditions, mesh size and the pseudocompressibility coefficient on stability and convergence of the method is studied. Also studied is the influence of the factorization error inherent in the linearized block implicit solution procedure. The accuracy of the method is assessed by computing the developing laminar flow in a square straight duct; comparisons with analysis are very good. In addition, the computation of the developing laminar flow in an S-shaped duct yields results in good agreement with the experimental data.