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Numerical simulation of standing wave with 3D predictor-corrector finite difference method for potential flow equations

Numerical simulation of standing wave with 3D predictor-corrector finite difference method for potential flow equations
Numerical simulation of standing wave with 3D predictor-corrector finite difference method for potential flow equations
A three-dimensional (3D) predictor-corrector finite difference method for standing wave is developed. It is applied to solve the 3D nonlinear potential flow equations with a free surface. The 3D irregular tank is mapped onto a fixed cubic tank through the proper coordinate transform schemes. The cubic tank is distributed by the staggered meshgrid, and the staggered meshgrid is used to denote the variables of the flow field. The predictor-corrector finite difference method is given to develop the difference equations of the dynamic boundary equation and kinematic boundary equation. Experimental results show that, using the finite difference method of the predictor-corrector scheme, the numerical solutions agree well with the published results. The wave profiles of the standing wave with different amplitudes and wave lengths are studied. The numerical solutions are also analyzed and presented graphically.
three-dimensional (3D) nonlinear potential, flow equation, predictorcorrector finite difference method, staggered grid, nested iterative method, 3D sloshing, O359+.1, 65N06, 74S20, 76B15
0253-4827
931-944
Luo, Zhiqiang
1ddb6e74-a2eb-46c3-9080-6c250ae758c9
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Luo, Zhiqiang
1ddb6e74-a2eb-46c3-9080-6c250ae758c9
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f

Luo, Zhiqiang and Chen, Zhi-Min (2013) Numerical simulation of standing wave with 3D predictor-corrector finite difference method for potential flow equations. Applied Mathematics and Mechanics, 34 (8), 931-944. (doi:10.1007/s10483-013-1718-7).

Record type: Article

Abstract

A three-dimensional (3D) predictor-corrector finite difference method for standing wave is developed. It is applied to solve the 3D nonlinear potential flow equations with a free surface. The 3D irregular tank is mapped onto a fixed cubic tank through the proper coordinate transform schemes. The cubic tank is distributed by the staggered meshgrid, and the staggered meshgrid is used to denote the variables of the flow field. The predictor-corrector finite difference method is given to develop the difference equations of the dynamic boundary equation and kinematic boundary equation. Experimental results show that, using the finite difference method of the predictor-corrector scheme, the numerical solutions agree well with the published results. The wave profiles of the standing wave with different amplitudes and wave lengths are studied. The numerical solutions are also analyzed and presented graphically.

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More information

Published date: August 2013
Keywords: three-dimensional (3D) nonlinear potential, flow equation, predictorcorrector finite difference method, staggered grid, nested iterative method, 3D sloshing, O359+.1, 65N06, 74S20, 76B15
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 356900
URI: http://eprints.soton.ac.uk/id/eprint/356900
ISSN: 0253-4827
PURE UUID: d940742e-7eb9-43bc-b141-e80727621327

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Date deposited: 02 Oct 2013 16:15
Last modified: 08 Jan 2022 18:02

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Contributors

Author: Zhiqiang Luo
Author: Zhi-Min Chen

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