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二维多介质可压缩流的RKDG有限元方法 被引量:2

An RKDG Finite Element Method for Two-dimensional Compressible Multimedia Fluids
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摘要 应用RKDG(Runge-Kutta Discontinuous Galerkin)有限元方法、Level Set方法和Ghost Fluid方法数值模拟二维多介质可压缩流,其中Euler方程组、Level Set方程和重新初始化方程的空间离散采用DG(DiscontinuousGalerkin)有限元方法,时间离散采用Runge-Kutta方法.对二维的气-气和气-液两相流进行了数值计算,得到了分辨率较高的计算结果. The RKDG (Runge-Kutta Discontinuous Galerkin) finite element method, the Level Set method and the Ghost Fluid method are applied to compressihle multimedia fluids. We diseretlzes Euler equations, the Level Set equation and the re-initiallzation equation by a DG (Discontinuous Galerkin) method in space and by a Runge-Kutta method in time. Two dimensional compressible two-fluid flows such as airair, air-liquid are computed. High resolution ratio computational results are obtained.
出处 《计算物理》 CSCD 北大核心 2006年第6期699-705,共7页 Chinese Journal of Computational Physics
基金 国家自然科学基金(10471011)资助项目
关键词 RKDG有限元方法 多介质可压缩流 GHOST Fluid方法 kvel SET方法 RKDG finite element method compressible multimedia fluid ghost fluid method Level Set method
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  • 1祝家麟.用边界积分方程法解平面双调和方程的Dirichlet问题[J].计算数学,1984,6(3):278-288.
  • 2Zhang Yiqiang,Int J Numer Methods Fluids,1992年,14卷,2期,197页
  • 3祝家麟,计算数学,1984年,6卷,3期,278页
  • 4唐维军,张景琳,李晓林,赵宁.三维流体界面不稳定性的Ghost方法[J].计算物理,2001,18(2):163-169. 被引量:8

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  • 1张涵信,贺国宏,张雷.高精度差分求解气动方程的几个问题[J].空气动力学学报,1993,11(4):347-356. 被引量:32
  • 2陈荣三,蔚喜军.一维多介质可压缩Euler方程的高精度RKDG有限元方法[J].计算物理,2006,23(1):43-49. 被引量:4
  • 3Fedkiw R P, Aslam T, Merriman B, et al. A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method) [J]. Journal of Computational Physics, 1999,152:457-492.
  • 4Liu T G, Khoo b C, Yeo K S. Ghost fluid method for strong shock-impacting on material interface[J]. Journal of Computational Physics, 2003,190 :651-681.
  • 5水鸿寿.一维流体力学差分方法[M].北京:国防工业出版社,1981:36-41.
  • 6Toro E F. Direct Riemann solver for the time-dependent Euler equations[J]. Shock Waves, 1995,5:75-80.
  • 7Fedkiw R P, Aslam T, Xu S. The ghost fluid method for deflagration and detonation discontinuities[J]. Journal of Computational Physics, 1999,154: 393-427.
  • 8Fedkiw R P, Marquina A, Merriman B. An isobaric fix for the overheating problem in multimaterial compressible flows[J]. Journal of Computational Physics, 1999,148(2):545-578.
  • 9Cockburn B, Lin S Y, Shu C W. TVB Runge-Kutta local projecting discontinuous Galerkin finite element methods for conservation laws Ⅲ: One dimensional systems[J]. Journal of Computational Physics, 1989,84:90-113.
  • 10Marshall G. A front tracking method for one-dimensional moving boundary problems [ J ]. SIAM Journal on Scientific Computing, 1986,7 ( l ) :252 - 263.

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