knowledge of professional and technical personnel Notice on the organization of advanced research class on high-pressure science and new materials of engineering
Volume 22 Issue 3
Apr 2015
Turn off MathJax
Article Contents
Chinese Journal of High Pressure Physics  > 2008  >  22(3): 269-274 .
CHEN Er-Yun, LE Gui-Gao, MA Da-Wei, ZHAO Gai-Ping, ZHAO Ji-Yong. Numerical Simulation for Rayleigh-Taylor Instability Using Runge-Kutta Discontinuous Finite Element Method[J]. Chinese Journal of High Pressure Physics, 2008, 22(3): 269-274 . doi: 10.11858/gywlxb.2008.03.008
Citation: CHEN Er-Yun, LE Gui-Gao, MA Da-Wei, ZHAO Gai-Ping, ZHAO Ji-Yong. Numerical Simulation for Rayleigh-Taylor Instability Using Runge-Kutta Discontinuous Finite Element Method[J]. Chinese Journal of High Pressure Physics, 2008, 22(3): 269-274 . doi: 10.11858/gywlxb.2008.03.008
shu

Numerical Simulation for Rayleigh-Taylor Instability Using Runge-Kutta Discontinuous Finite Element Method

doi: 10.11858/gywlxb.2008.03.008
  • 1.

    School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;

  • 2.

    School of Medical Instrument, Shanghai University of Science and Technology, Shanghai 200093, China;

  • 3.

    Changzhou Institute of Light Industry, Changzhou 213000, China

More Information
  • Corresponding author: CHEN Er-Yun
  • Received Date: 12 Aug 2007
  • Rev Recd Date: 23 Dec 2007
  • Issue Publish Date: 05 Sep 2008
    Abstract
  • Rayleigh-Taylor instability problem is simulated by using discontinuous finite element method which is developed for Euler equations with an additional body force corresponding to the gravity. Level set method for capturing moving interfaces and ghost fluid method with Isobaric fix for disposing the interfaces are used. Through two representative numerical examples of Rayleigh-Taylor instability, it can be concluded that this method has capability to solve multi-media fluid problems including contact discontinuous, without numerical oscillation near the interface and high resolution.

     

    • FullText(HTML)
  • loading
    • References(15)
  • Taylor G. The Stability of Liquid Surface when Accelerated in a Direction Perpendicular to Their Planes Ⅰ [J]. Proceedings of Royal Society of London, 1950, A201: 192-196.
    Wang L L, Li J C. Fluid Mixing Due to Rayleigh-Taylor Instability in a Time-Dependent Acceleration Field [J]. Communications in Nonlinear Science and Numerical Simulation, 2005, 10: 571-577.
    Andrews M J, Spalding D B. A Simple Experiment to Investigate Two-Dimensional Mixing by Rayleigh-Taylor Instability [J]. Phys Fluids, 1990, A2: 922-927.
    Bai J S, Chen S H. Re-Initialized Level Set Method for Capturing 2D Compressible Multi-Fluid Interfaces [J]. Chinese Journal of High Pressure Physics, 2003, 17(1): 22-28. (in Chinese)
    柏劲松, 陈森华. 重新初始化的LS方法跟踪二维可压缩多介质流界面运动 [J]. 高压物理学报, 2003, 17(1): 22-28.
    Cockburn B, Shu C W. The Runge-Kutta Local Projection P1-Discontinuous Galerkin Method for Scalar Conservation Law [J]. M2AN, 1991, 337: 337-361.
    Cockburn B, Shu C W. TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws Ⅱ: General Framework [J]. Math Comp, 1989, 52: 411-435.
    Cockburn B, Lin S Y. TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws Ⅲ: One-Dimensional Systems [J]. J Comput Phys, 1989, 84: 90-113.
    Cockburn B, Hou S C, Shu C W. TVB Runge-Kutta Discontinuous Galerkin Method for Conservation Laws Ⅳ: The Multidimensional Case [J]. J Comput Phys, 1990, 54: 545-581.
    Cockburn B, Shu C W. TVB Runge-Kutta Discontinuous Galerkin Method for Conservation Laws Ⅴ: Multidimensional Systems [J]. J Comput Phys, 1998, 144: 199-224.
    Fedkiw R P, Aslam T, Merriman B, et al. A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows(The Ghost Fluid Method) [J]. J Comput Phys, 1999, 152: 457-492.
    Li H X, Deng C, Zhao J F, et al. Numerical Simulation of Interface Movement in Gas-Liquid Two-Phase Flows with Level Set Method [J]. Nuclear Power Engineering, 2005, 26(3): 242-248. (in Chinese)
    李会雄, 邓 晟, 赵建福, 等. Level Set输运方程的求解方法及其对气-液两相流运动界面数值模拟的影响 [J]. 核动力工程, 2005, 26(3): 242-248.
    Yang Y Y, Li M J, Shu S, et al. High Order Schemes Based on Upwind Schemes with Modified Coefficients [J]. Journal of Computational and Applied Mathematics, 2006, 195: 242-251.
    Shi J. Some Issues in High Order Numerical Schemes for Nonlinear Hyperbolic Conservation Laws [D]. Rhode Island, United States: Brown University, 2001.
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article views(7744) PDF downloads(829) Cited by()
    Proportional views
    Related
    

    Website Copyright© Editorial Office of Chinese Journal of High Pressure Physics

    Tel:0816-2490042 E-mail:gaoya@caep.cn

    Shu ICP, 11011126 -2

    Supported by: Beijing Renhe Information Technology Co. Ltd support: info@rhhz.net  

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return