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author:

Zhang, Ting (Zhang, Ting.) [1] | Ren, Yu-Fei (Ren, Yu-Fei.) [2] | Fan, Chia-Ming (Fan, Chia-Ming.) [3] | Li, Po-Wei (Li, Po-Wei.) [4]

Indexed by:

EI

Abstract:

In this paper, a meshless numerical scheme, based on the generalized finite difference method (GFDM), is proposed to efficiently and accurately simulate the sloshing phenomenon in a two-dimensional numerical wave tank. When a numerical wave tank is excited horizontally or vertically, the disturbance on the free surface and the flow field in the tank is called sloshing. Based on the theorem of ideal fluid, the mathematical description of the sloshing problem is a time-dependent boundary value problem, governed by a second-order partial differential equation and two non-linear free-surface boundary conditions. In this paper, the GFDM and the explicit Euler method are adopted, respectively, for spatial and temporal discretizations of this moving-boundary problem. After the discretization by the explicit Euler method, the elevation of free surface is updated and a boundary value problem is yielded at every time step. Since the GFDM, a newly-developed domain-type meshless method, can truly get rid of time-consuming meshing generation and numerical quadrature, we adopted the GFDM to efficiently analyze this boundary value problem at every time step. To use the moving-least squares method of the GFDM can express the derivatives as linear combinations of nearby function values, such that the numerical procedures of the GFDM are very simple and efficient. We provided four numerical examples to verify the simplicity and the accuracy of the proposed meshless scheme. In addition, some factors of the proposed numerical scheme are systematically investigated via a series of numerical experiments. © 2015 Elsevier Ltd. All rights reserved.

Keyword:

Boundary conditions Boundary value problems Finite difference method Fuel sloshing Least squares approximations Numerical methods Partial differential equations Tanks (containers)

Community:

  • [ 1 ] [Zhang, Ting]Department of Water Resources and Harbor Engineering, College of Civil Engineering, Fuzhou University, Fuzhou; 350116, China
  • [ 2 ] [Ren, Yu-Fei]Department of Water Resources and Harbor Engineering, College of Civil Engineering, Fuzhou University, Fuzhou; 350116, China
  • [ 3 ] [Fan, Chia-Ming]Department of Harbor and River Engineering and Computation and Simulation Center, National Taiwan Ocean University, Keelung; 20224, Taiwan
  • [ 4 ] [Li, Po-Wei]Department of Harbor and River Engineering and Computation and Simulation Center, National Taiwan Ocean University, Keelung; 20224, Taiwan

Reprint 's Address:

  • [fan, chia-ming]department of harbor and river engineering and computation and simulation center, national taiwan ocean university, keelung; 20224, taiwan

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Source :

Engineering Analysis with Boundary Elements

ISSN: 0955-7997

Year: 2016

Volume: 63

Page: 82-91

1 . 7 2 1

JCR@2016

4 . 2 0 0

JCR@2023

ESI HC Threshold:177

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 36

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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