CONVECTION TREATMENT AND PRESSURE SPLITTING FOR SEQUENTIAL SOLUTION PROCEDURES, PART II: PRESSURE-BASED ALGORITHM

Abstract

In Pari II of the present article, the controlled variation scheme (CVS), developed in Part I, and the advection upstream splitting method (AUSM) are implemented in a pressure-based algorithm, whose very basis is the separate treatment of connective and pressure fluxes. For the convective fluxes in the momentum equations as well as the estimation of mass fluxes in the pressure correction equation (which is derived from the momentum and continuity equations) of the present algorithm, both first- and second-order (with minmod limiter) flux estimations are employed. Some issues resulting from the conventional use in pressure-based methods of a staggered grid, for the location of velocity components and pressure, are also addressed. Using the second-order fluxes, both CVS- and AUSM-type schemes exhibit sharp resolution. Overall, the combination of upwinding and splitting for the convective and pressure fluxes separately exhibits robust performance for a variety of flows and is particularly amenable for adoption in pressure-based methods.