Sloshing simulation of standing wave with time-independent finite difference method for Euler equations
Sloshing simulation of standing wave with time-independent finite difference method for Euler equations
The numerical solutions of standing waves for Euler equations with the nonlinear free surface boundary condition in a two-dimensional (2D) tank are studied. The irregular tank is mapped onto a fixed square domain through proper mapping functions. A staggered mesh system is employed in a 2D tank to calculate the elevation of the transient fluid. A time-independent finite difference method, which is developed by Bangfuh Chen, is used to solve the Euler equations for incompressible and inviscid fluids. The numerical results agree well with the analytic solutions and previously published results. The sloshing profiles of surge and heave motion with initial standing waves are presented. The results show very clear nonlinear and beating phenomena.
euler equation, finite difference method, numerical simulation, crank-nicolson scheme
1475-1488
Luo, Zhi-qiang
78de99d1-a88b-4f1f-9c56-4fa8bc1dea71
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
2011
Luo, Zhi-qiang
78de99d1-a88b-4f1f-9c56-4fa8bc1dea71
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Luo, Zhi-qiang and Chen, Zhi-Min
(2011)
Sloshing simulation of standing wave with time-independent finite difference method for Euler equations.
Applied Mathematics and Mechanics, 32 (11), .
(doi:10.1007/s10483-011-1516-6).
Abstract
The numerical solutions of standing waves for Euler equations with the nonlinear free surface boundary condition in a two-dimensional (2D) tank are studied. The irregular tank is mapped onto a fixed square domain through proper mapping functions. A staggered mesh system is employed in a 2D tank to calculate the elevation of the transient fluid. A time-independent finite difference method, which is developed by Bangfuh Chen, is used to solve the Euler equations for incompressible and inviscid fluids. The numerical results agree well with the analytic solutions and previously published results. The sloshing profiles of surge and heave motion with initial standing waves are presented. The results show very clear nonlinear and beating phenomena.
This record has no associated files available for download.
More information
Published date: 2011
Keywords:
euler equation, finite difference method, numerical simulation, crank-nicolson scheme
Organisations:
Fluid Structure Interactions Group
Identifiers
Local EPrints ID: 204423
URI: http://eprints.soton.ac.uk/id/eprint/204423
ISSN: 0253-4827
PURE UUID: 323c75d0-986b-4746-a0b5-9b708b8a19b6
Catalogue record
Date deposited: 28 Nov 2011 14:54
Last modified: 14 Mar 2024 04:31
Export record
Altmetrics
Contributors
Author:
Zhi-qiang Luo
Author:
Zhi-Min Chen
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics