期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

SUPG finite element method based on penalty function for lid-driven cavity flow up to Re = 27500 被引量：1

SUPG finite element method based on penalty function for lid-driven cavity flow up to Re = 27500
下载PDF
导出
摘要 A streamline upwind/Petrov-Galerkin （SUPG） finite element method based on a penalty function is pro- posed for steady incompressible Navier-Stokes equations. The SUPG stabilization technique is employed for the for- mulation of momentum equations. Using the penalty function method, the continuity equation is simplified and the pres- sure of the momentum equations is eliminated. The lid-driven cavity flow problem is solved using the present model. It is shown that steady flow simulations are computable up to Re = 27500, and the present results agree well with previous solutions. Tabulated results for the properties of the primary vortex are also provided for benchmarking purposes. A streamline upwind/Petrov-Galerkin （SUPG） finite element method based on a penalty function is pro- posed for steady incompressible Navier-Stokes equations. The SUPG stabilization technique is employed for the for- mulation of momentum equations. Using the penalty function method, the continuity equation is simplified and the pres- sure of the momentum equations is eliminated. The lid-driven cavity flow problem is solved using the present model. It is shown that steady flow simulations are computable up to Re = 27500, and the present results agree well with previous solutions. Tabulated results for the properties of the primary vortex are also provided for benchmarking purposes.
作者 Da-Guo Wang Qing-Xiang Shui
机构地区 School of Environment and Resources
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2016年第1期54-63,共10页 力学学报（英文版）
基金 the National Natural Science Foundation of China (Grants 41372301 and 51349011) the Preeminent Youth Talent Project of Southwest University of Science and Technology (Grant 13zx9109)
关键词 Streamline upwind/Petrov-Galerkin （SUPG）finite element method Lid-driven cavity flow Penaltyfunction method High Reynolds number Streamline upwind/Petrov-Galerkin （SUPG）finite element method Lid-driven cavity flow Penaltyfunction method High Reynolds number
分类号 O35 [理学—流体力学] O241.82 [理学—计算数学]
  • 相关文献

参考文献2

二级参考文献35

  • 1刘淼儿,任玉新,张涵信.求解不可压Navier-Stokes方程的三阶精度投影方法[J].清华大学学报（自然科学版）,2005,45(2):285-288. 被引量：5
  • 2Bao, Y., Zhou, D., Zhao, Y.Z., 2010a. A two-step taylorcharacteristic-based Galerkin method for incompressible flows and its application to flow over triangular cylinder with different incidence angles. International Journal for Numerical Methods in Fluids, 62(11): 1181 - 1208. [doi:10. 1002/fld.2054].
  • 3Bao, Y., Zhou, D., Huang, C., 2010b. Numerical simulation of flow over three circular cylinders in equilateral arrangements at low Reynolds number by a second-order characteristic-based split finite element method. Computers & Fluids, 39(5):882-899. [doh10.1016/j.compfluid. 2010.01.002].
  • 4Belytschko, T.B., Liu, W.K., Moran, B., 2000. Nonlinear Finite Elements for Continua and Structures. Wiley, Chichester.
  • 5Brezzi, F., Bristeau, M.O., Franca, L.R, Mallet, M., Roge, G., 1992. A relationship between stabilized finite element methods and the Galerkin method with bubble functions. Computer Methods in Applied Mechanics and Engineering, 96(1): 117-129. [doi: 10.1016/0045-7825(92)90102-P].
  • 6Brooks.A.N. Hughes, T.J.R., 1982. Streamline upwind/ Petrov-Galerkin formulation for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering, 32(1-3):199-259. [doi:10.1016/0045-7825(82)90071-8].
  • 7Demirdzic, I., Lilek, Z., Peric, M., 1992. Fluid flow and heat transfer test problems for non-orthogonal grids: benchmark solutions. International Journal for Numerical Methods' in Fluids, 15(3):329-354. [doi:10.1002/fld. 1650150306].
  • 8Dettmer, W., Perie, D., 2006a. A computational framework for fluid-rigid body interaction: Finite element formulation and applications. Computer Methods' in Applied Mechanics andEngineering, 195(13-16):1633-1666. [doi:10 1016/j.ema.2005.05.033].
  • 9Dettmer, W., Peric, D., 2006b free surface fluid flows A computational framework for accounting for surface tension. Computer Methods in Applied Mechanics and Engineer ing, 195(23-24):3038-3071. [doi:10.1016/j.cma.2004 07.057].
  • 10Dettmer, W., Perid, D., 2006c. A computational framework for fluid-structure interaction: Finite element formulation and applications. Computer Methods in Applied Mechanics and Engineering, 195(41-43):5754-5779. [doi:10.1016/j.cma.2005.10.019].

共引文献2

同被引文献5

引证文献1

二级引证文献4

Acta Mechanica Sinica
2016年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部