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author:

Zhang, Ting (Zhang, Ting.) [1] | Lin, Zhen-Huan (Lin, Zhen-Huan.) [2] | Huang, Guan-Yi (Huang, Guan-Yi.) [3] | Fan, Chia-Ming (Fan, Chia-Ming.) [4] | Li, Po-Wei (Li, Po-Wei.) [5]

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EI

Abstract:

This paper mainly focus on presenting a newly-developed meshless numerical scheme, named the generalized finite difference method (GFDM), to efficiently and accurately solve the improved Boussinesq-type equations (BTEs). Based on the improved BTEs, the wave propagated over a flat or irregular bottom topography is described as a two-dimensional horizontal problem with nonlinear water waves. The GFDM and the 2nd-order Runge-Kutta method (RKM) were employed for spatial and temporal discretizations for this problem, respectively. The ramping function and the sponge layer, combing in this proposed scheme, were adopted for incident and outgoing waves, respectively. As one of domain-type meshless methods, GFDM can improve the numerical efficiency due to avoiding time-consuming meshing generation and numerical quadrature. Furthermore, the partial derivatives of Boussinesq equations can be transformed as linear combinations of nearby function values by the moving-least-squares method of the GFDM, simplifying the numerical procedures. Specifically, GFDM is suitable for complex fluid field with some irregular boundaries because of the flexible distribution of nodes. Four numerical examples were selected to verify the accuracy and applicability in the improved BTEs of the proposed meshless scheme. The results were compared with other numerical predictions and experimental observations and good agreements were depicted. © 2020 Elsevier Ltd

Keyword:

Coastal engineering Finite difference method Least squares approximations Nonlinear equations Numerical methods Runge Kutta methods Topography Water waves

Community:

  • [ 1 ] [Zhang, Ting]Department of Water Resources and Harbor Engineering, College of Civil Engineering, Fuzhou University, Fuzhou; 350116, China
  • [ 2 ] [Lin, Zhen-Huan]Department of Water Resources and Harbor Engineering, College of Civil Engineering, Fuzhou University, Fuzhou; 350116, China
  • [ 3 ] [Huang, Guan-Yi]Department of Water Resources and Harbor Engineering, College of Civil Engineering, Fuzhou University, Fuzhou; 350116, China
  • [ 4 ] [Fan, Chia-Ming]Department of Harbor and River Engineering & Computation and Simulation Center National Taiwan Ocean University, Keelung; 20224, Taiwan
  • [ 5 ] [Li, Po-Wei]Department of Harbor and River Engineering & Computation and Simulation Center National Taiwan Ocean University, Keelung; 20224, Taiwan

Reprint 's Address:

  • [zhang, ting]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: 2020

Volume: 198

3 . 7 9 5

JCR@2020

4 . 6 0 0

JCR@2023

ESI HC Threshold:132

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 21

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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