A COMPARISON OF 2ND-ORDER CONVECTION DISCRETIZATION SCHEMES FOR INCOMPRESSIBLE FLUID-FLOW

The paper addresses the problem of convection discretization by extens ion and application of numerical schemes used in compressible flows: S ONIC-A, SONIC-B, UNO2, MUSCL and MNMOD to predict steady incompressibl e recirculating convection dominated flows. A new scheme, SONIC-Q, is proposed together with a third-order non-oscillatory practice for pres sure interpolation in non-staggered grids. Finite-volume calculations of the Navier-Stokes equations of a standard 2D driven square cavity s tandard test case and the laminar flow over a fence using primitive va riables and non-staggered grid systems have shown that the schemes are alternatives to the conventional ones used in general algorithms for incompressible recirculating flows. In general these composite high-or der schemes have proved to be good candidates to overcome the problems of false-diffusion and unboundedness encountered in non-composite hig h-order upwind schemes used in incompressible flows.