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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50311

Title: The weighted reconstruction of reproducing kernel particle method for one-dimensional shock wave problems
Authors: C.T. Sun
P.C. Guan
J.H. Jiang
O.L.A. Kwok
Contributors: 國立臺灣海洋大學:系統工程暨造船學系
Keywords: Shock capturing
Non-oscillating method
Meshfree methods
High-order approximation
Reproducing kernel particle method
Date: 2017-12
Issue Date: 2018-10-02T08:00:56Z
Publisher: Ocean Engineering
Abstract: Abstract: When high-order numerical approximation method is applied to model the propagation of shock wave or discontinuity, it usually creates unstable unreal numerical oscillations around the discontinuous regions. In this research, we propose a non-oscillation meshfree scheme based on reproducing kernel particle method (RKPM) which can maintain the accuracy and minimize the oscillation in the modeling of shock wave propagation. In the proposed method, the original influence domain of high-order RK approximation is divided into several subdomains. Then we apply low-order RK approximation within each subdomain. Instead of directly using the discrete particles to build the numerical approximation, we consider that the high-order approximation is constructed by the summation of those low-order approximations multiplied by a local weight function. By adjusting these local weights with the "smoothness indicator", we can determine the "effect" of the corresponding subdomain and the discrete particles inside this subdomain. Therefore, the subdomain containing discontinuity would not participate in the high-order approximation, and the numerical oscillation is automatically suppressed. The proposed method does not need artificial viscosity or numerical damping to stabilize the solution. Several benchmark problems with shock wave propagation are tested. The results show that the proposed method can maintain high-order accuracy without numerical oscillation.
Relation: 149 pp.325-340
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50311
Appears in Collections:[系統工程暨造船學系] 期刊論文

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