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.
出处
《计算物理》
CSCD
北大核心
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)
