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[期刊论文]

A meshless artificial viscosity method for wet-dry moving interfaces problems of shallow water flow

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author:

Zhang, Ting (Zhang, Ting.) [1] | Zhan, Chang-Xun (Zhan, Chang-Xun.) [2] | Wang, Hai-Wei (Wang, Hai-Wei.) [3] | Unfold

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EI

Abstract:

In this paper, an improved meshless artificial viscosity (AV) method is proposed and combined with the local radial point interpolation method (LRPIM) and the MacCormack method to establish a newly-developed meshless numerical model, which can efficiently and accurately solve wet-dry moving interfaces problems of shallow water flow. As an important model describing shallow water flow, the two-dimensional (2D) shallow water equations (SWEs) are a hyperbolic system of 1st-order nonlinear partial differential equations which have a characteristic of strong gradient. The LRPIM and MacCormack method are adopted to discretize the 2D SWEs spatially and temporally, respectively. Meanwhile, the method of selecting the different shape of support domain in the LRPIM is employed for properly cooperating with the MacCormack method to accurately capture the direction of wave propagation. For eliminating the non-physical oscillation at the discontinuity of shallow water flow, the improved meshless AV form is first presented. Four challenging numerical examples were selected to verify the proposed model by comparing with the other solutions and experimental observations. The results indicate that the proposed method with improved meshless AV can accurately capture the shock waves and efficiently simulate the wet-dry front changes. © 2021

Keyword:

Equations of motion Flow of water Hydraulics Interpolation Nonlinear equations Numerical methods Oscillating flow Partial differential equations Shock waves Viscosity Wave propagation

Community:

  • [ 1 ] [Zhang, Ting]Department of Water Resources and Harbor Engineering, College of Civil Engineering, Fuzhou University, Fuzhou; 350116, China
  • [ 2 ] [Zhan, Chang-Xun]Department of Water Resources and Harbor Engineering, College of Civil Engineering, Fuzhou University, Fuzhou; 350116, China
  • [ 3 ] [Wang, Hai-Wei]Department of Water Resources and Harbor Engineering, College of Civil Engineering, Fuzhou University, Fuzhou; 350116, China
  • [ 4 ] [Lin, Chuan]Department of Water Resources and Harbor Engineering, College of Civil Engineering, Fuzhou University, Fuzhou; 350116, China
  • [ 5 ] [Guo, Xiao-Mei]Department of Water Resources and Harbor Engineering, College of Civil Engineering, Fuzhou University, Fuzhou; 350116, China

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Source :

Ocean Engineering

ISSN: 0029-8018

Year: 2021

Volume: 236

4 . 3 7 2

JCR@2021

4 . 6 0 0

JCR@2023

ESI HC Threshold:105

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

30 Days PV: 1

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