任意不可压多介质流的粒子有限元方法模拟  

Particle Finite Element Method for Incompressible Multi-fluid Flows

作　　者：高永峰[1] 张相炎[1] 刘宁[1] 

机构地区：[1]南京理工大学机械工程学院,江苏南京210094

出　　处：《计算物理》2013年第1期35-43,共9页Chinese Journal of Computational Physics

摘　　要：基于粒子有限元方法(particle finite element method,PFEM),利用细分混合单元的界面识别思想,模拟种类任意多的不可压多介质流问题.对分步算法采用基于有限增量微积分理论的稳定措施,以适应流体特性差异;将混合单元细分为代表单一流体的小单元,进而得到流体间的边界;通过加密边界、控制粒子速度、自动检查穿透来防止粒子穿透外部边界.瑞利-泰勒不稳定性和水柱在空气中倒塌的模拟与已有结果的对比验证了PFEM及界面识别方法的可靠性和准确性.七种流体混合的模拟结果表明PFEM可有效处理任意多种类不相溶流体的混合流动问题.Particle finite element method （PFEM） is used to incompressible muhi-fluid flows include arbitrary numbers of fluids. Identification of internal interfaces is a key. It is solved by subdivision of mixed elements which are divided into single-fluid elements. To adapt to different fluid properties, a stabilized formulation based on finite calculus procedure is used in fractional step method. Boundary point birth, particle velocity control, and automatically penetration check are used for preventing penetration. Accuracy and reliability of PFEM and interface identification measure are demonstrated with Rayleigh^Taylor instability test and collapse of water column. Finally, seven fluids mixing shows that mixing of an arbitrary number of immiscible fluids could be simulated easily.

关 键 词：粒子有限元方法(PFEM) 多介质流 不可压流体 分步算法 界面识别 

分 类 号：O35[理学—流体力学]