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Authors: Chien-Ting Sun
On-Lei Annie Kwok
Pai-Chen Guan
Wen-Kai Shih
Contributors: 國立臺灣海洋大學:系統工程暨造船學系
Keywords: shallow water equations
meshfree method
high order approximation
reproducing kernel particle method
Date: 2018-06
Issue Date: 2019-01-17T01:20:07Z
Publisher: Journal of Marine Science and Technology-Taiwan
Abstract: Abstract: In this paper, a meshfree numerical scheme, which is based on the reproducing kernel particle method (RKPM), is proposed to solve the shallow water equations (SWEs). By applying the split coefficient matrix method on SWEs, RK approximation with upstream scheme can be employed for spatial discretization.
Temporal discretization of SWEs is handled by the secondorder total-variation diminishing Runge-Kutta method. The merits of the present method are verified by performing three numerical experiments, which are problems related to open channel flow, oblique hydraulic jump and two-dimensional dam break. It is found that the proposed meshfree numerical scheme is able to efficiently model the shallow water problems with
high convergence rate and accuracy. When non-uniform discretization is used in conjunction with the proposed method,the order of approximation and accuracy can still be maintained.
Relation: 26(3) pp.431-440
Appears in Collections:[Department of Systems Engineering and Naval Architecture] Periodical Articles

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