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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/42533

Title: Method of fundamental solutions for multidimensional Stokes equations by the dual-potential formulation
Authors: D.L. Young;C.L. Chiu;C.M. Fan;C.C. Tsai;Y.C. Lin
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: Method of fundamental solutions;Dual-potential formulation;Velocity potential and stream function vector;2D and 3D Stokes flows;Laplace equation;Bi-harmonic equation
Date: 2006-11
Issue Date: 2017-05-19T06:59:38Z
Publisher: European Journal of Mechanics - B/Fluids
Abstract: Abstract:A simple and accurate boundary-type meshless method of fundamental solutions (MFS) is applied to solve both 2D and 3D Stokes flows based on the dual-potential formulation of velocity potential and stream function vector. Using the dual-potential concept, the solutions of both 2D and 3D Stokes flows are obtained by combining the much simpler fundamental solutions of Laplace (potential) and bi-harmonic equations without using the complicated singular fundamental solutions such as Stokeslets and their derivatives as well as source doublet hypersingularity. The developed algorithm is used to test five numerical experiments for 2D flows: (1) circular cavity, (2) wave-shaped bottom cavity and (3) circular cavity with eccentric rotating cylinder; and for 3D flows: (4) a uniform flow passing a sphere and (5) a uniform flow passing a pair of spheres. Good results are obtained as comparing with solutions of analytical and numerical methods such as FEM, BEM and other meshfree schemes.
Relation: 25(6), pp.877-893
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/42533
Appears in Collections:[河海工程學系] 期刊論文

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