运动激波与气泡串相互作用的多介质数值模拟

通过对激波和流体界面相互作用而诱导的大变形界面演化的数值模拟,验证了Level set 方法精确模拟多个流体界面的有效性.采用间断有限元Galerkin方法求解欧拉方程得到流场解,采用5阶WENO格式求解Level set方程追踪多流体界面,界面附近的边界条件由虚拟流体方法处理.对运动激波和两个气泡相互作用过程进行了数值模拟,得到了不同时刻的压力和密度等值线分布,并分析了计算域中两个气泡同是氦气泡,以及一个是氦气泡,一个是R22气泡情况下的计算结果.计算结果表明:利用多界面Level set方程可高质量地捕捉多个流体界面,处理3种多介质流场数值模拟问题.

MULTI-MATERIAL NUMERICAL SIMULATION OF MOVING SHOCK INTERACTING WITH CONSECUTIVE BUBBLES

Numerical simulations are performed on the interface with large deformation induced by the interaction between a moving shock and two consecutive bubbles. The high performance of the level set method for multi-material interfaces is demonstrated. Discontinuous Galerkin finite element method is used to solve Eulerian equations. And the fifth-order weighted essentially non-oscillatory (WENO) scheme is used to solve the level set equation for capturing multi-material interfaces. The ghost fluid method is used to deal with the interfacial boundary condition. Results are obtained for two bubble interacting with a moving shock. The contours of the constant density and the pressure at different time are given. In the computational domain, three different cases are considered, i.e. two helium bubbles, a helium bubble followed by an R22 bubble in the direction of the moving shock, and an R22 bubble followed by a helium bubble. Computational results indicate that multi-material interfaces can be properly captured by the level set method. Therefore, for problems involving the flow of three different materials with two different interfaces, each interface separating two different materials can be similarly handled.