结合数值模拟和理论分析,研究凝聚介质中斜激波反射.采用龙格-库塔控制体积间断有限元方法,数值求解"刚性气体"状态方程形式下的欧拉方程组;理论分析凝聚介质中斜激波反射模式;运用激波极曲线理论,给出典型激波强度下正规反射向非正规反射过渡的临界角及波后状态.比较数值模拟结果和激波极曲线理论分析结果,得到典型弱、强斜激波的反射图像.
A study on oblique shock wave reflection in condensed matter is carried out by means of numerical simulation and theoretical analysis.Runge-Kutta control volume discontinuous finite element method is used to solve Euler equations.Equations of state for condensed matter adopt "stiffen gas" formulas.Patterns of oblique shock wave reflection in condensed matter are discussed.A shock polar theory is employed in analyzing critical agles of transition from regular reflection to irregular reflection.It gives states of reflected shock wave.Numerical results and shock polar solutions are compared and typical oblique shock wave reflections are obtained.