3-D boundary element-finite element method for velocity-vorticity formulation of the Navier-Stokes equations

被引：19
|
作者：
Zunic, Zoran [1 ]
Hribersek, Matjaz [1 ]
Skerget, Leopold [1 ]
Ravnik, Jure [1 ]
机构：
[1] Univ Maribor, Fac Mech Engn, Inst Power Proc & Environm Engn, SLO-2000 Maribor, Slovenia
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2007年 / 31卷 / 03期
关键词：
3-D incompressible viscous fluid flow; velocity vorticity formulation; boundary element method; finite element method; lid driven cavity;
D O I：
10.1016/j.enganabound.2006.09.001
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A numerical method for the solution of the incompressible Navier-Stokes equations was developed using an integral representation of the conservation equations. The velocity-vorticity formulation is employed, where the kinematics is given with the Poisson equation for the velocity vector, while the kinetics is represented with the vorticity transport equation. Based on computational aspects, resulting from CPU time and memory requirements of the boundary domain integral method, a combined approach to the solution of the set of governing equations is proposed. Kinematics is solved using boundary element method (BEM), while kinetics is solved using finite element method (FEM). Lid driven flow in a cubic cavity was considered to show the robustness and versatility of this formulation. Results of Re = 100, 400, 1000 show a good agreement with benchmark results. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：259 / 266
页数：8
相关论文
共 50 条
  • [31] A spectral solver for the three-dimensional Navier-Stokes equations in velocity-vorticity formulation
    Speetjens, MFM
    Clercx, HJH
    Van Heijst, GJF
    [J]. SCIENTIFIC COMPUTING AND APPLICATIONS, 2001, 7 : 125 - 132
  • [32] A MULTIGRID METHOD FOR SOLUTION OF VORTICITY VELOCITY FORM OF 3-D NAVIER-STOKES EQUATIONS
    HUANG, Y
    GHIA, U
    [J]. COMMUNICATIONS IN APPLIED NUMERICAL METHODS, 1992, 8 (10): : 707 - 719
  • [33] Viscous incompressible flows by the velocity-vorticity Navier-Stokes equations
    Depto. Matemáticas, UAM-Iztapalapa, 3er. Piso Ed. Diego Bricio, 09340 México D.F., Mexico
    不详
    [J]. CMES Comput. Model. Eng. Sci., 2007, 2 (73-83): : 73 - 83
  • [34] Numerical solution of the incompressible Navier-Stokes equations in primitive variables and velocity-vorticity formulation
    Loukopoulos, V. C.
    Messaris, G. T.
    Bourantas, G. C.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 222 : 575 - 588
  • [35] CONTINUOUS DATA ASSIMILATION APPLIED TO A VELOCITY-VORTICITY FORMULATION OF THE 2D NAVIER-STOKES EQUATIONS
    Gardner, Matthew
    Larios, Adam
    Rebholz, Leo G.
    Vargun, Duygu
    Zerfas, Camille
    [J]. ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (03): : 2223 - 2247
  • [36] Comparison of Stream-vorticity and Velocity-vorticity Formulation of Navier-Stokes Equations using Multidomain BEM
    Ramsak, Matjaz
    Skerget, Leopold
    [J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
  • [37] Acceleration of a BEM based solution of the velocity-vorticity formulation of the Navier-Stokes equations by the cross approximation method
    Tibaut, J.
    Skerget, L.
    Ravnik, J.
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2017, 82 : 17 - 26
  • [38] Numerical solution of three-dimensional velocity-vorticity Navier-Stokes equations by finite difference method
    Lo, DC
    Murugesan, K
    Young, DL
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2005, 47 (12) : 1469 - 1487
  • [39] A coupling finite difference particle method for the resolution 2D Navier-Stokes equations in velocity-vorticity form
    Shen, WZ
    Loc, TP
    [J]. AEROSPACE SCIENCE AND TECHNOLOGY, 1997, 1 (02) : 97 - 109
  • [40] An accurate numerical solution algorithm for 3D velocity-vorticity Navier-Stokes equations by the DQ method
    Lo, DC
    Young, DL
    Murugesan, K
    [J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2006, 22 (03): : 235 - 250
12345