Sloshing Simulation of Standing Wave With a Time-Independent Finite Difference Method for Euler Equations

LUO Zhi-qiang; CHEN Zhi-min

doi:10.3879/j.issn.1000-0887.2011.11.011

Volume 32 Issue 11

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LUO Zhi-qiang, CHEN Zhi-min. Sloshing Simulation of Standing Wave With a Time-Independent Finite Difference Method for Euler Equations[J]. Applied Mathematics and Mechanics, 2011, 32(11): 1378-1390. doi: 10.3879/j.issn.1000-0887.2011.11.011

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Sloshing Simulation of Standing Wave With a Time-Independent Finite Difference Method for Euler Equations

doi: 10.3879/j.issn.1000-0887.2011.11.011

LUO Zhi-qiang¹,
CHEN Zhi-min²

Department of System Science and Applied Mathematics, School of Science, Kunming University of Science and Technology, Kunming 650083, P. R. China;
School of Engineering Sciences, University of Southampton, Southampton SO17 1BJ, UK

Received Date: 2010-12-20
Rev Recd Date: 2011-09-05
Publish Date: 2011-11-15

Abstract

Abstract

The numerical solutions of standing wave for Euler equations with nonlinear free surface boundary condition in a two dimensional tank were solved.The irregular tank was mapped onto a fixed square domain through proper mapping functions and a staggered mesh system was employed in a two dimensional tank in order to calculate the elevation of the transient fluid.A time-independent finite difference method, which was developed by Bang-fuh Chen,was applied and was used to solve Euler equations for incompressible and inviscid fluid.The numerical solutions agree well with analytic solutions and previously published results.The nonlinear and beating phenomena are very clear and the sloshing of surge and heave motions with initial standing wave are presented.
- Euler equations,
- finite difference method,
- numerical simulation,
- Crank-Nicolson scheme

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References(25)

References

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