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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/52696

Title: The method of fundamental solutions for three–dimensional nonlinear free surface flows using the iterative scheme
Authors: Cheng-Yu Ku
Jing-En Xiao
Chih-Yu Liu
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: three–dimensional
tree surface
nonlinear
the method of fundamental solutions (MFS)
meshless method
Date: 2019-04
Issue Date: 2019-12-20T03:32:43Z
Publisher: Applied Sciences
Abstract: Abstract: In this article, we present a meshless method based on the method of fundamental solutions(MFS) capable of solving free surface flow in three dimensions. Since the basis function of theMFS satisfies the governing equation, the advantage of the MFS is that only the problem boundaryneeds to be placed in the collocation points. For solving the three-dimensional free surface withnonlinear boundary conditions, the relaxation method in conjunction with the MFS is used, in whichthe three-dimensional free surface is iterated as a movable boundary until the nonlinear boundaryconditions are satisfied. The proposed method is verified and application examples are conducted.Comparing results with those from other methods shows that the method is robust and provides highaccuracy and reliability. The effectiveness and ease of use for solving nonlinear free surface flows inthree dimensions are also revealed.
Relation: 9(1719)
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/52696
Appears in Collections:[河海工程學系] 期刊論文

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