Difference scheme and numerical simulation based on mixed finite element method for natural convection problem

被引:0
|
作者
Lou, ZD [1 ]
Jiang, Z
Xie, ZH
Zhang, GF
机构
[1] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
[2] Chinese Acad Sci, Inst Acad Phys, Beijing 100029, Peoples R China
关键词
nutural convection equation; mixed element method; finite difference scheme;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The non-stationary natural convection problem is studied. A lowest order finite difference scheme based on mixed finite element method for non-stationary natural convection problem, by the spatial variations discreted with finite element method and time with finite difference scheme was derived, where the numerical solution of velocity, pressure, and temperature can be found together, and a numerical example to simulate the close square cavity is given, which is of practical importance.
引用
收藏
页码:1100 / 1110
页数:11
相关论文
共 50 条
  • [31] A mixed finite element method for the arch problem
    Benlemlih, A
    El Ferricha, ME
    APPLIED MATHEMATICAL MODELLING, 2002, 26 (01) : 17 - 36
  • [32] A Mixed Finite Element Method for Elasticity Problem
    Elakkad, A.
    Bennani, M. A.
    Mekkaoui, J. E. L.
    Elkhalfi, A.
    INTERNATIONAL JOURNAL OF ADVANCED COMPUTER SCIENCE AND APPLICATIONS, 2013, 4 (02) : 161 - 166
  • [33] NUMERICAL SIMULATION OF CONVECTION-DIFFUSION PROBLEMS BY THE CONTROL-VOLUME-BASED FINITE-ELEMENT METHOD
    Neves, Odacir Almeida
    Romao, Estaner Claro
    Campos Silva, Joao Batista
    Mendes de Moura, Luiz Felipe
    NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2010, 57 (10) : 730 - 748
  • [34] Finite Difference Scheme for One Mixed Problem With Integral Condition
    Berikelashvili, Givi
    Gordeziani, David
    Kharibegashvili, Sergo
    PROCEEDINGS OF THE WSEAS INTERNATIONAL CONFERENCE ON FINITE DIFFERENCES, FINITE ELEMENTS, FINITE VOLUMES, BOUNDARY ELEMENTS, 2009, : 118 - +
  • [35] Simulation of natural convection with the collocated clustered finite volume scheme
    Touazi, O.
    Chenier, E.
    Eymard, R.
    COMPUTERS & FLUIDS, 2008, 37 (09) : 1138 - 1147
  • [36] An efficient iterative algorithm for the natural convection equations based on finite element method
    Wang, Lei
    Li, Jian
    Huang, Pengzhan
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2018, 28 (03) : 584 - 605
  • [37] Numerical simulation of two-dimensional laminar mixed-convection in a lid-driven cavity using the mixed finite element consistent splitting scheme
    Wong, Jeff C. -F.
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2007, 17 (01) : 46 - 93
  • [38] NUMERICAL SIMULATION OF CASTING THERMAL STRESS BASED ON FINITE DIFFERENCE METHOD
    Xue, X.
    Wang, Y. P.
    REVIEWS ON ADVANCED MATERIALS SCIENCE, 2013, 33 (05) : 410 - 415
  • [39] An expanded characteristic-mixed finite element method for a convection-dominated transport problem
    Guo, L
    Chen, HZ
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2005, 23 (05) : 479 - 490
  • [40] Numerical simulation of interaction of hydraulic fracture and natural fracture based on the cohesive zone finite element method
    Guo, Jianchun
    Zhao, Xing
    Zhu, Haiyan
    Zhang, Xudong
    Pan, Rui
    JOURNAL OF NATURAL GAS SCIENCE AND ENGINEERING, 2015, 25 : 180 - 188