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Title: The modified collocation Trefftz method and Laplacian decomposition for solving two-dimensional Stokes problems
Authors: Chia-Ming Fan;Hong-Huei Li;Chung-Lun Kuo
Contributors: 國立臺灣海洋大學:河海工程學系
Date: 2011-10
Issue Date: 2017-05-12T07:18:02Z
Publisher: Journal of Marine Science and Technology
Abstract: Abstract:In this paper, the two-dimensional Stokes problem is ana-lyzed by the modified collocation Trefftz method (MCTM) and the Laplacian decomposition. The coupled Stokes equa-tions are converted to three Laplace equations by utilizing the Laplacian decomposition and then the boundary-type mesh-less MCTM is adopted to solve the resultant Laplace equations. The MCTM, free from mesh and numerical quadrature, is de-rived from the conventional Trefftz method by considering the characteristic length of the domain, which stabilize the nu-merical scheme and obtain highly accurate results. Besides, the solutions are expressed as the linear combination of T-com-plete functions and the velocity as well as pressure are coupled by collocating the boundary conditions. Several numerical examples are provided to demonstrate the efficacy and accu-racy of the proposed meshless scheme. In addition, the nu-merical results demonstrates that the proposed meshless scheme can solve the Stokes problems accurately in simply-and doubly-connected domains.
Relation: 19(5), pp.522-530
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/42440
Appears in Collections:[河海工程學系] 期刊論文

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