Numerical diffusion in multi-dimensional thermal-hydraulic analysis. (II). 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.