Incident impact of Mach reflection wave configuration at a planar heavy/light gas interface (resubmit)
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摘要: 本文采用数值模拟与理论分析相结合的方法,研究了马赫反射波系与平面SF6/N2界面的作用过程,特别关注其中马赫反射波系的入射加载阶段。在入射平面激波马赫数为1.8的情况下,给出了绕刚性圆柱后形成马赫反射波系的数值纹影,定性分析了马赫反射波系入射加载重/轻界面的波系演化过程。在数值模拟的基础上,运用三激波理论对折射过程进行分析求解,结果表明该理论解可以良好预测折射后的激波形态以及界面上的环量沉积和速度扰动。进一步,通过绘制激波极曲线和稀疏波特征线,直观描述了入射加载过程中波系前后的压力变化和气流偏转。理论分析和数值模拟结果均表明,马赫反射波系中激波强度以及入射角的差异诱导了界面上的纵向速度扰动,激波加载带来的切向速度诱导了界面上的环量沉积,速度扰动和环量主导了重/轻界面前期的演化。
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关键词:
Abstract: The evolution of a planar heavy/light gas interface (SF6/N2) subjected to a perturbed shock wave produced by diffracting a planar incident shock over a rigid cylinder is investigated, focusing particularly on the incident impact of Mach reflection wave configuration. While the incident planar shock wave Mach number is 1.8, numerical schlieren images of the Mach reflection wave are provided, and the wave evolution during the incident impact on the heavy/light interface is quantitatively analyzed. Based on numerical simulations, the refraction process is analyzed and resolved using the three-shock theory, which appears to predict accurately the post-refraction shock wave shape, as well as the velocity perturbation and circulation deposition on the interface. Additionally, by drawing shock polar curves and rarefaction wave characteristic lines, the pressure changes and flow deflection across the wave configuration during the incident impact process are vividly described. Both the theoretical analysis and numerical simulation results indicate that differences in shock intensity and incident angles within the Mach reflection wave configuration induce velocity perturbation on the interface. The tangential velocity caused by the shock impact results in circulation deposition on the interface. Velocity perturbation and circulation deposition dominate the early evolution of the heavy/light interface. -
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