Solutions of 2D and 3D Stokes laws using multiquadrics method

被引：63
|
作者：
Young, DL [1 ]
Jane, SC
Lin, CY
Chiu, CL
Chen, KC
机构：
[1] Natl Taiwan Univ, Dept Civil Engn, Taipei 10617, Taiwan
[2] Natl Taiwan Univ, Hydrotech Res Inst, Taipei 10617, Taiwan
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2004年 / 28卷 / 10期
关键词：
velocity-vorticity formulation; Stokes flow; iterative solution; meshless; multiquadrics method; two-dimensional; square cavity; circular cavity; three-dimensional; cubic cavity;
D O I：
10.1016/j.enganabound.2003.04.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, velocity-vorticity formulation and the multiquadrics method (MQ) with iterative scheme are used to solve two (2D) and three-dimensional (3D) steady-state incompressible Stokes cavity flows. The method involves solving of Laplace type vorticity equations and Poisson type velocity equations. The solenoidal velocity and vorticity components are obtained by iterative procedures through coupling of velocity and vorticity fields. Both the Poisson type velocity equations and the Laplace type vorticity equations are solved using the MQ, which renders a meshless (or meshfree) solution. Here, the results of 2D Stokes flow problems in a typical square cavity and a circular cavity are presented and compared with other model results. Besides utilizing the MQ to solve the 3D Stokes cubic cavity flow problem, we are also obtaining promising results for the accuracy of the velocity and vorticity. The MQ model has been found to be very simple and powerful for analyzing the 2D and 3D internal Stokes flow problems. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1233 / 1243
页数：11
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