Manipulation of three-dimensional Richtmyer-Meshkov instability by initial interfacial principal curvatures

作者：Guan, Ben; Zhai, Zhigang; Si, Ting^*; Lu, Xiyun; Luo, Xisheng

来源：Physics of Fluids, 2017, 29(3): 032106.

DOI：10.1063/1.4978391

• PLANAR SHOCK
• SIMULATION
• PROPAGATION
• TAYLOR
• FLUIDS
• TIME

The characteristics of three-dimensional (3D) Richtmyer-Meshkov instability (RMI) in the early stages are studied numerically. By designing 3D interfaces that initially possess various identical and opposite principal curvature combinations, the growth rate of perturbations can be effectively manipulated. The weighted essentially nonoscillatory scheme and the level set method combined with the real ghost fluid method are used to simulate the flow. The results indicate that the interface development and the shock propagation in 3D cases are much more complicated than those in 2D case, and the evolution of 3D interfaces is heavily dependent on the initial interfacial principal curvatures. The 3D structure of wave patterns induces high pressure zones in the flow field, and the pressure oscillations change the local instabilities of interfaces. In the linear stages, the perturbation growth rate follows regularity as the interfacial principal curvatures vary, which is further predicted by the stability theory of 2D and 3D interfaces. It is also found that hysteresis effects exist at the onset of the linear stages in the 3D case for the same initial perturbations as the 2D case, resulting in different evolutions of 3D RMI in the nonlinear stages. Published by AIP Publishing.

• 出版日期2017-3
• 单位中国科学技术大学