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CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2014, Vol. 31 ›› Issue (3): 271-284.

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

ZHAO Guozhong1, YU Xijun2, LI Zhenzhen3   

  1. 1. Faculty of Mathematics, Baotou Teachers'College, Baotou 014030, China;
    2. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
    3. Department of Mathematics, University of Science and Technology of China, Hefei 230052, China
  • Received:2013-06-13 Revised:2013-10-20 Online:2014-05-25 Published:2014-05-25
  • Supported by:
    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)

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Abstract: 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.

Key words: compressible Euler equations, RKCV discontinuous finite element method, multi-medium fluid

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