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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24552

Title: A new method for Stokes problems with circular boundaries using degenerate kernel and Fourier series
Authors: Jeng-Tzong Chen;Chia-Chun Hsiao;Shyue-Yuh Leu
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: biharmonic equation;boundary integral equation;null-field integral equation;degenerate kernel;Fourier series;Stokes flow
Date: 2008-06-25
Issue Date: 2011-10-20T08:12:42Z
Publisher: International Journal for Numerical Methods in Engineering
Abstract: abstract:This study is concerned with the Stokes flow of an incompressible fluid of constant density and viscosity with circular boundaries. To fully capture the circular boundary, the boundary densities in the direct and indirect boundary integral equations (BIEs) are expanded in terms of Fourier series. The kernel functions in either the direct BIE or the indirect BIE are expanded to degenerate kernels by using the separation of field and source points. Consequently, the improper integrals are transformed to series sum and are easily calculated. The linear algebraic system can be established by matching the boundary conditions at the collocation points. Then, the unknown Fourier coefficients can be easily determined. Finally, several examples including circular and eccentric domains are presented to demonstrate the validity of the present method. Five gains were obtained: (1) meshless approach; (2) free of boundary-layer effect; (3) singularity free; (4) exponential convergence; and (5) well-posed model.
Relation: 74(13), pp.1955–1987
URI: http://ntour.ntou.edu.tw/handle/987654321/24552
Appears in Collections:[河海工程學系] 期刊論文

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