高超声速流动分区对接网格算法研究

Study of algorithm for multi-block patched mesh applied to hypersonic flow

本文发展了一种能适应强间断流场的满足通量守恒的分区对接网格算法,并给出了保证通量守恒的通量插值系数应满足的条件。采用有限差分NND格式,求解层流NS方程,数值模拟了马赫数6～20绕圆柱的高超声速粘性流场。数值试验表明:方法具有良好的稳定性和收敛性,强激波能自由地穿越内边界。

An algorithm for multiblock patched mesh is developed, which can be applied in the simulation of the flowfields with strong discontinuities, and meets the demand of flux conservation simultaneously. The conditions and the relationship of the flux interpolation coefficients are presented in order to satisfy the global conservation property physically. The hypersonic laminar flows around a hemicylinder are numerically simulated by solving NS equations with NND scheme at the Mach number range from 4 to 20. The computational results show that the presented algorithm has good stability and convergence, and that the strong shock can move freely across the innerboundary.