A mixed finite-element finite-difference method for nonlinear fluid-structure interaction dynamics. I. Fluid-rigid structure interaction


Xing, J.T., Price, W.G. and Chen, Y.G. (2003) A mixed finite-element finite-difference method for nonlinear fluid-structure interaction dynamics. I. Fluid-rigid structure interaction. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 459, (2038), 2399-2430. (doi: 10.1098/rspa.2002.1110).

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Original Publication URL: http://dx.doi.org/10.1098/rspa.2002.1110

Description/Abstract

A mixed finite-element finite-difference numerical method is developed to calculate nonlinear fluid-solid interaction problems. In this study, the structure is assumed to be rigid with large motion and the fluid flow is governed by nonlinear, viscous or non-viscous, field equations with nonlinear boundary conditions applied to the free surface and fluid-solid interaction interfaces. A moving coordinate system fixed at a point in the structure is used to describe the fluid flow, and for numerical analysis purposes, an arbitrary Lagrangian-Eulerian mesh system is constructed relative to this moving system. This provides a convenient method of overcoming the difficulties of matching fluid meshes with large solid motion. Nonlinear numerical equations describing nonlinear fluid-solid interaction dynamics are derived through a numerical discretization scheme of study. A coupling iteration process is used to solve these numerical equations. A selection of numerical examples illustrates the developed mathematical model and through numerical simulations it is shown that the proposed approach is practical and useful.

Item Type: Article
ISSNs: 1364-5021 (print)
Related URLs:
Keywords: fluid-rigid structure interactions, nonlinear dynamics, ale numerical model, nonlinear free surface waves, partitioned solution procedure
Subjects: T Technology > T Technology (General)
Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Engineering Sciences
ePrint ID: 22341
Date Deposited: 23 Mar 2006
Last Modified: 27 Mar 2014 18:11
Contact Email Address: j.t.xing@ship.soton.ac.uk
URI: http://eprints.soton.ac.uk/id/eprint/22341

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