NUMERICAL SOLUTION PROCEDURE FOR VISCOUS INCOMPRESSIBLE FLOWS

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Abstract
A calculation procedure for solving the time-dependent incompressible Navier-Stokes equations in arbitrary shapes is presented. The conservative form of the primitive-variable formulation is adopted. The numerical scheme is based on an overlapping grid with forward and backward differencing for mass and pressure gradients, respectively. This structure allows use of the same computational cell for both the continuity and momentum equations and storage of the pressure and velocity components at the same grid location. The result is a stable and accurate algorithm, and no oscillations on the velocity or pressure field are detected. The computed results are compared with numerical and experimental data.