ENO-AUSMPW格式对激波涡干扰的数值模拟

Simulation of the Shock-Vortex Interaction with AUSMPW Scheme based on ENO Interpolation Method

高阶ENO格式在复杂流场计算中具有重要的地位,它理论上可以达到任何阶的精度。本文采用二维高阶ENO插值方法,构造了高阶AUSMPW格式,并对包含复杂激波结构的激波涡干扰流场进行了数值模拟。计算结果表明了高阶ENO插值下的AUSMPW格式具有较高的激波分辨率和较低的数值耗散。

High- order Essentially Non -Oscillatory （ENO）schemes are very popular in simulating complicated flows. It can achieve arbitrary order accuracy theoretically. In this paper, we first discuss two - dimensional finite - volume high order ENO schemes based o conservative variables. For ENO schemes, the reconstruction is very complicated in multi - dimensional space if we consider the cross terms. Coefficient reconstruction put forwards here can bypass the complicated coding of ENO schemes with the same accuracy. Secondly, we adopt AUSMPW schemes to discretize flux terms. High order TVD Runge - Kutta time discretization is applied to the unsteady problems, thus spatial and time accuracy is accordant. Shock -vortex interactions, which contains complicated flow structures, are simulated successfully with the combination of ENO and AUSMPW scheme. The numerical results are straightforward and persuadable to certify AUSMPW scheme＇s high shock capturing ability, less numerical dissipations.