Numerical diffusion in multi-dimensional thermal-hydraulic analysis, (2). Comparison of higher order differencing schemes

Various higher order differencing schemes for the convection terms in transport equations are investigated through basic numerical experiments in two-dimensional flow fields. The numerical schemes examined include the first order upwind, the second order upwind, the third order upwind, the QUICK, the QUICK-FRAM and the modified EXQUISITE schemes. In the numerical experiments, four test problems including steady-state and transient phenomena are calculated using these schemes. From the comparisons among the calculated results, following results are obtained: (1) The third order upwind and the QUICK schemes minimize numerical diffusion. (2) These schemes, however, suffer from unrealistic numerical wiggles locally and the wiggles often degrade their solutions. (3) The QUICK-FRAM and the modified EXQUISITE schemes can suppress the numerical wiggles without the marked degradation of the performance of the QUICK scheme for the numerical diffusion. (author)