Rankine涡作用下激波变形和分叉的数值研究

Numerical Simulation of the Local Deformation, Disruption and Branching Induced by Rankine Vortex

数值模拟了激波和Rankine涡相互作用，重点研究了波涡相互作用引起的激波结构的变化过程。应用非结构化适应网格下的二阶精度Godunov型的PLM格式来求解Elder方程，对一平面激波与不同涡强Rankine涡相互作用下瞬态激波的运动、发展进行了研究。漩涡与激波间相对强度的大小对激波结构的影响明显，弱相互作用诱导激波变形，强相互作用诱导激波变形并产生分叉。计算结果表明，应用非结构化适应网格的PLM格式所得到的数值解较好地反映了瞬态激波结构的有关特征和信息。

The interaction between a shock wave and a Rankine vortex is numerically investigated. The investigation concentrates on the local deformation of the shock structure due to the shock-vortex interaction. The PLM scheme with adaptive unstructrued grids is used to solve the unsteady two-dimensional Euler equations. An initially planar shock wave is allowed to interact with a strong compressible Rankine vortex superimposed on the flow. The vortex affects the shock wave differently depending on the strength for the same strength of the shock wave. This effect could range from a deformation of the shock wave to a local disruption in the shock structure depending on the strength of the vortex in the interaction region. This process leading to a local deformation, local disruption and branching in the shock structure is analyzed in detail. It is shown that such a disruption in the shock structure can be predicted well by PLM scheme with adaptive unstructrued grids.