The method of fundamental solutions for 2D and 3D Stokes problems

被引：130
|
作者：
Young, DL [1 ]
Jane, SJ
Fan, CM
Murugesan, K
Tsai, CC
机构：
[1] Natl Taiwan Univ, Dept Civil Engn, Taipei 10764, Taiwan
[2] Natl Taiwan Univ, Hydrotech Res Inst, Taipei 10764, Taiwan
[3] Toko Univ, Dept Informat Technol, Chiayi, Taiwan
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2006年 / 211卷 / 01期
关键词：
Stokes flows; the method of fundamental solutions; Stokeslets; 2D and 3D flows;
D O I：
10.1016/j.jcp.2005.05.016
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A numerical scheme based on the method of fundamental solutions (MFS) is proposed for the solution of 2D and 3D Stokes equations. The fundamental solutions of the Stokes equations, Stokeslets, are adopted as the sources to obtain flow field solutions. The present method is validated through other numerical schemes for lid-driven flows in a square cavity and a cubic cavity. Test results obtained for a rectangular cavity with wave-shaped bottom indicate that the MFS is computationally efficient than the finite element method (FEM) in dealing with irregular shaped domain. The paper also discusses the effects of number of source points and their locations on the numerical accuracy. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：1 / 8
页数：8
相关论文
共 50 条
  • [21] Intrinsic Stokes parameters for 3D and 2D polarization states
    Gil, J. J.
    JOURNAL OF THE EUROPEAN OPTICAL SOCIETY-RAPID PUBLICATIONS, 2015, 10
  • [22] A velocity approach for the ALE-method applied to 2D and 3D problems
    Stoker, C
    Gay, C
    Bay, F
    Chenot, JL
    SIMULATION OF MATERIALS PROCESSING: THEORY, METHODS AND APPLICATIONS, 1998, : 95 - 101
  • [23] 2D AND 3D COMPUTATIONS OF LOSSY EIGENVALUE PROBLEMS
    SCHMITT, D
    STEFFEN, B
    WEILAND, T
    IEEE TRANSACTIONS ON MAGNETICS, 1994, 30 (05) : 3578 - 3581
  • [24] Existence and Uniqueness of Solutions to Heat Equations with Hysteresis Coupled with Navier–Stokes Equations in 2D and 3D
    Yutaka Tsuzuki
    Journal of Mathematical Fluid Mechanics, 2015, 17 : 577 - 597
  • [25] A "LEARN 2D, APPLY 3D" METHOD FOR 3D DECONVOLUTION MICROSCOPY
    Soulez, Ferreol
    2014 IEEE 11th International Symposium on Biomedical Imaging (ISBI), 2014, : 1075 - 1078
  • [26] The method of fundamental solutions applied to 3D elasticity problems using a continuous collocation scheme
    Fam, George S. A.
    Rashed, Youssef F.
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2009, 33 (03) : 330 - 341
  • [27] 2D or 3D?
    Mills, R
    COMPUTER-AIDED ENGINEERING, 1996, 15 (08): : 4 - 4
  • [28] Solutions of 2D and 3D non-homogeneous potential problems by using a boundary element-collocation method
    Qu, Wenzhen
    Chen, Wen
    Fu, Zhuojia
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2015, 60 : 2 - 9
  • [29] A simple meshfree method based on Trefftz attitude for 2D and 3D elasticity problems
    Noormohammadi, Nima
    Afifi, Danial
    Bateniparvar, Omid
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2023, 155 : 1186 - 1206
  • [30] 2D & 3D Finite Element Method Packages of CEMTool for Engineering PDE Problems
    Ahn, Choon Ki
    Han, Soohee
    Kwon, Wook Hyun
    PROCEEDINGS OF WORLD ACADEMY OF SCIENCE, ENGINEERING AND TECHNOLOGY, VOL 12, 2006, 12 : 109 - 113
12345