Semi-Implicit Solution of the Convection-Diffusion Problems with Applications in Fluid Dynamics

被引:0
|
作者
Dolejsi, Vit [1 ]
Holik, Martin [1 ]
Hozman, Jiri [1 ]
Vlasak, Miloslav [1 ]
机构
[1] Charles Univ Prague, Fac Math & Phys, Prague 18675 8, Czech Republic
关键词
DISCONTINUOUS GALERKIN METHOD; FINITE-ELEMENT-METHOD; NAVIER-STOKES; NUMERICAL-SOLUTION;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We deal with the time discretization of the system of ordinary differential equations arising from the discontinuous Galerkin discretization of a scalar convection-diffusion equation. We discuss several semi-implicit techniques, which lead to a sufficiently stable scheme and to a necessity to solve only linear problem at each time level. An extension to the system of the Navier-Stokes equations is presented and demonstrated by a numerical example.
引用
收藏
页码:1200 / 1203
页数:4
相关论文
共 50 条
  • [41] Implicit characteristic Galerkin method for convection-diffusion equations
    Li, XK
    Wu, WH
    Zienkiewicz, OC
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2000, 47 (10) : 1689 - 1708
  • [42] Semi-implicit FEM analysis of natural convection in freezing water
    Dept. of Mech. and Aerosp. Eng., Rutgers University, New Brunswick, NJ 08903, United States
    不详
    不详
    不详
    Numer Heat Transfer Part A Appl, 5 (449-472):
  • [43] Semi-implicit FEM analysis of natural convection in freezing water
    Banaszek, J
    Jaluria, Y
    Kowalewski, TA
    Rebow, M
    NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 1999, 36 (05) : 449 - 472
  • [44] Modified streamline diffusion schemes for convection-diffusion problems
    Shih, YT
    Elman, HC
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 174 (1-2) : 137 - 151
  • [45] Composition Semi-implicit Methods for Chaotic Problems Simulation
    Butusov, D. N.
    Andreev, V. S.
    Pesterev, D. O.
    PROCEEDINGS OF THE XIX IEEE INTERNATIONAL CONFERENCE ON SOFT COMPUTING AND MEASUREMENTS (SCM 2016), 2016, : 107 - 110
  • [46] THE CHARACTERISTIC STREAMLINE DIFFUSION METHOD FOR CONVECTION-DIFFUSION PROBLEMS
    HANSBO, P
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 96 (02) : 239 - 253
  • [47] Solution of systems of nonlinear equations - a semi-implicit approach
    Scheffel, Jan
    Hakansson, Cristian
    APPLIED NUMERICAL MATHEMATICS, 2009, 59 (10) : 2430 - 2443
  • [48] Numerical Solution of Convection-Diffusion Problems in Irregular Domains Mapped onto a Circle
    Asaba, Makoto
    Asako, Yutaka
    Nakamura, Hiroshi
    Faghri, Mohammad
    JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 1991, 5 (01) : 103 - 109
  • [49] Semi-implicit solution of aeroelastic equations in time domain
    Jiang, Yue-Wen
    Ye, Zheng-Yin
    Zhang, Wei-Wei
    Gongcheng Lixue/Engineering Mechanics, 2012, 29 (04): : 66 - 71
  • [50] Continuous Dependence of Renormalized Solution for Convection-diffusion Problems Involving a Nonlocal Operator
    Houede, Dofyniwassouani Alain
    Ouedraogo, Adama
    Ly, Ibrahim
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2023, 50 (02): : 277 - 291