高超音速双锥绕流数值模拟的格式效应分析

通过模拟双锥外形高超音速绕流,对各种计算流体力学空间离散格式的性能进行分析.研究了Roe格式、van Leer格式、AUSM(Advection Up-stream Splitting Method)格式、AUSMDV格式、AUSM+格式、上风TVD(Total Variation Diminishing)格式等对双锥高超音速流场特征的模拟能力.结果表明:各空间格式激波分辨率都较高,但粘性分辨率相差很大.其特性与格式耗散性有关,耗散性越小,粘性分辨率越高;格式耗散性对热流极值影响显著,耗散性越小,热流极值越大,其位置越靠近前缘.

Scheme effect analysis of numerical simulation on hypersonic double-cone flows

The performance of different numerical schemes were studied by simulation of a hypersonic flow past a sharp double cone. The capability of six numerical schemes—Roe FDS(flux difference splitting), van Leer FVS(flux vector splitting), AUSM(advection up-stream splitting method),AUSMDV, AUSM+ and upwind TVD(total variation diminishing) were employed on the simulation of double-cone flow characteristic. The results show that all sorts of spatial discretization schemes have a good discrimination of shock wave, however the discrimination of viscosity vary with the dissipation of schemes evidently. The least dissipative schemes give the best discrimination of viscosity; also the heat transfer extremum turns out to be very sensitive to the dissipation of schemes. Conclusions were got that the smaller the scheme dissipation, the larger the heat transfer extremum, and with its location near the frontal.