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author:

Zhang, Ting (Zhang, Ting.) [1] (Scholars:张挺) | Zhan, Chang-Xun (Zhan, Chang-Xun.) [2] | Wang, Hai-Wei (Wang, Hai-Wei.) [3] | Lin, Chuan (Lin, Chuan.) [4] (Scholars:林川) | Guo, Xiao-Mei (Guo, Xiao-Mei.) [5]

Indexed by:

EI SCIE

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.

Keyword:

Artificial viscosity Local radial point interpolation method Shock waves Two-dimensional shallow water equations Wet-dry moving interfaces

Community:

  • [ 1 ] [Zhang, Ting]Fuzhou Univ, Dept Water Resources & Harbor Engn, Coll Civil Engn, Fuzhou 350116, Peoples R China
  • [ 2 ] [Zhan, Chang-Xun]Fuzhou Univ, Dept Water Resources & Harbor Engn, Coll Civil Engn, Fuzhou 350116, Peoples R China
  • [ 3 ] [Wang, Hai-Wei]Fuzhou Univ, Dept Water Resources & Harbor Engn, Coll Civil Engn, Fuzhou 350116, Peoples R China
  • [ 4 ] [Lin, Chuan]Fuzhou Univ, Dept Water Resources & Harbor Engn, Coll Civil Engn, Fuzhou 350116, Peoples R China
  • [ 5 ] [Guo, Xiao-Mei]Fuzhou Univ, Dept Water Resources & Harbor Engn, Coll Civil Engn, Fuzhou 350116, Peoples R China

Reprint 's Address:

  • 林川

    [Lin, Chuan]Fuzhou Univ, Dept Water Resources & Harbor Engn, Coll Civil Engn, Fuzhou 350116, Peoples R 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 Discipline: ENGINEERING;

ESI HC Threshold:105

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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