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基于五阶WENO有限差分法的运动界面追踪 被引量:2

Fifth-order WENO finite difference method for tracking the moving-interfaces
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摘要 针对处理运动界面问题的流体体积函数(VOF)法,给出了一种高分辨率的运动界面捕捉方法.该方法采用五阶高精度和高分辨率的加权本质无振荡(WENO)有限差分格式离散VOF函数的空间导数;采用四阶Runge-Kutta方法离散时间导数;采用LocalLax-Friedrich通量作为数值流通量.用该方法对旋转流场和剪切流场中的运动界面追踪,结果表明该方法有较好的适用性和精确性. A method of high order accurate resolution is proposed to track moving-interface using VOF,the fifth order WENO scheme for space discretization,the local Lax-Friedrichs numerical flux and fourth order Runge-kutta method for time discretization are used in the methods for tracking the moving-interfaces.A high-resolution method is proposed to track moving surface using VOF(Volume Of Fluid).The finite difference scheme of fifth order highaccuracy and high-resolution WENO(Weighted Essentially Non-Oscillatory) is established to discretize space derivative of VOF.The fourth order Runge-kutta method is employed to discretize time derivative,with the local LaxFriedrichs as numerical flux.Then the numerical tests are performed in the Zalesak and the shearing flows problems.The results show that the method is effective and feasible for the tracking of the moving-interface.
作者 卢长娜 程冰
出处 《南京信息工程大学学报(自然科学版)》 CAS 2010年第4期357-360,共4页 Journal of Nanjing University of Information Science & Technology(Natural Science Edition)
基金 国家自然科学基金(40906048) 南京信息工程大学科研启动基金(90203)
关键词 VOF WENO格式 有限差分法 运动界面 VOF WENO scheme finite difference method moving-interface
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参考文献10

  • 1Shen Y M,Ng C O,Zheng Y H.Simulation of wave propagation over a submerged bar using the VOF method with a two-equation k:turbulence modeling[J].Ocean Engineering,2004,31(1):87-95.
  • 2Lorstad D,Fuchs L.High-order surface tension VOF-model for 3D bubble flows with high density ratio[J].Journal of Computational Physics,2004,200(1):153-176.
  • 3Hirt C W,Nichols B D.Volume of fluid(VOF) method for the dy namics of free boundaries[J].Journal of Computational Physics,1981,39(1):201-225.
  • 4Youngs D L.Time-dependent multi-material flow with large fluid distortion[C]//Morton K W,Baines M J.Numerical Methods for Fluid Dynamics.New York:Academic Press,1982:273-285.
  • 5Ubbink O,Issa R I.A method for capturing sharp fluid interfaces on arbitrary meshes[J].Journal of Computational Physics,1999,153(1):26-50.
  • 6刘儒勋,刘晓平,张磊,王志峰.运动界面的追踪和重构方法[J].应用数学和力学,2004,25(3):279-290. 被引量:25
  • 7及春宁,师颖.Application of the VOF method based on unstructured quadrilateral mesh[J].Journal of Marine Science and Application,2008,7(1):24-32. 被引量:1
  • 8Balsara D S.Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics[J].Journal of Computational Physics,2009,228(14):5040-5056.
  • 9Zahran Y H.An efficient WENO scheme for solving hyperbolic conservation laws[J].Applied Mathematics and Computation,2009,212(1):37-50.
  • 10Aradiga F,Belda A M,Mulet P.Point-value WENO multiresolution applications to stable image compression[J].Journal of Scientific Computing,2009,43(2):158-182.

二级参考文献28

  • 1及春宁,王元战,王建峰.A Novel VOF-Type Volume-Tracking Method for Free-Surface Flows Based on Unstructured Triangular Mesh[J].China Ocean Engineering,2005,19(4):529-538. 被引量:8
  • 2[1]RIDER W J,KOTHE D B.Reconstructing volume tracking[J].J Comput Phys,1998,141:112-152.
  • 3[2]SCARDOVELLI R,ZALESKI S.Direct numerical simulation of free-surface and interfacial flow[J].Ann Rev Fluid Mech,1999,31:567-603.
  • 4[3]OSHER S,FEDKIW R.Level set methods:an overview and some recent results[J].J Comput Phys,2001,169:463-502.
  • 5[4]JACQMIN D.Calculation of two-phase Navier-Stokes flows using phase-field modeling[J].J Comput Phys,1999,155:96-127.
  • 6[5]HIRT C W,NICHOLS B D.Volume-of-fluid (VOF)method for the dynamics of free boundaries[J].J Comput Phys,1981,39:201-225.
  • 7[6]HIRT C W,SICILIAN J M.A porosity technique for the definition of obstacles in rectangular cell meshes[C]//Proceedings of 4th International Conference on Ship Hydrodynamics.Washington DC:National Academic of Science,1985:548-567.
  • 8[8]YOUNGS D L.Time-dependent multi-material flow with large fluid distortion[C]//MORTON K W,BAINCS M J.Numerical Methods for Fluid Dynamics.New York:Academic Press,1982:273-285.
  • 9[9]PRESS W I4,TEUKOLSKY S A,VETTERLING W T,et al.Numerical recipes in Fortran[M].Cambridge:Cambridge University Press,1986.
  • 10[10]YANG X F,JAMES A J.Analytic relations for reconstructing piecewise linear interfaces in triangular and tetrahedral grids[J].J Comput Phys,2006,214:41-54.

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