多介质流模拟的Runge-Kutta控制体积间断有限元方法（英文）  

Runge-Kutta Control Volume Discontinuous Finite Element Method for Multi-medium Fluid Simulations

作　　者：赵国忠[1] 蔚喜军[2] 李珍珍[3] 

机构地区：[1]包头师范学院数学科学学院,包头014030 [2]北京应用物理与计算数学研究所计算物理实验室,北京100088 [3]中国科学技术大学数学系,合肥230052

出　　处：《计算物理》2014年第3期271-284,共14页Chinese Journal of Computational Physics

基　　金：Supported by National Natural Science Foundation of China(11261035 and 11171038);Science Research Foundation ofInstitute of Higher Education of Inner Mongolia Autonomous Region,China(NJZZ12198);Nature Science Foundation of InnerMongolia Autonomous Region,China(2012MS0102);Science and Technology Development Foundation of CAEP(2013A0202011)

摘　　要：构造可用于多介质流数值模拟的Runge-Kutta控制体积(RKCV)间断有限元方法.对于多介质流模拟,使用线性和非线性的Riemann问题解法器计算界面处的数值流通量.该方法是一种高精度的数值方法且可以保证流体的局部守恒.数值结果表明,即使是利用线性Riemann问题解法器的计算格式也可获得较好的数值结果.与Runge-kutta间断Galerkin方法的比较展示了本文构造算法的优势.Runge-Kutta control volume （RKCV） discontinuous finite element method for multi-medium fluid simulations is constructed. Linear and nonlinear Riemann solvers are used for numerical flux at fluid interfaces. The method preserves local conservation and high-resolution. Numerical results show that even with a linear Riemann solver the schemes works well. Comparisons with Runge-Kutta discontinuous Galerkin method show advantages of RKCV method.

关 键 词：可压缩Euler方程组 RKCV间断有限元方法 多介质流 

分 类 号：O241.82[理学—计算数学]