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Modified Ghost Fluid Method as Applied to Fluid-Plate Interaction

Published online by Cambridge University Press:  03 June 2015

Liang Xu  and
Tiegang Liu
Liang Xu*
Affiliation:
China Academy of Aerospace Aerodynamics, Beijing 100074, China LMIB and School of Mathematics and Systems Science, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
Tiegang Liu*
Affiliation:
LMIB and School of Mathematics and Systems Science, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
*
Email: xuliang@smss.buaa.edu.cn
Corresponding author. Email: liutg@buaa.edu.cn
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Abstract

The modified ghost fluid method (MGFM) provides a robust and efficient interface treatment for various multi-medium flow simulations and some particular fluid-structure interaction (FSI) simulations. However, this methodology for one specific class of FSI problems, where the structure is plate, remains to be developed. This work is devoted to extending the MGFM to treat compressible fluid coupled with a thin elastic plate. In order to take into account the influence of simultaneous interaction at the interface, a fluid-plate coupling system is constructed at each time step and solved approximately to predict the interfacial states. Then, ghost fluid states and plate load can be defined by utilizing the obtained interfacial states. A type of acceleration strategy in the coupling process is presented to pursue higher efficiency. Several one-dimensional examples are used to highlight the utility of thismethod over looselycoupled method and validate the acceleration techniques. Especially, this method is applied to compute the underwater explosions (UNDEX) near thin elastic plates. Evolution of strong shock impacting on the thin elastic plate and dynamic response of the plate are investigated. Numerical results disclose that this methodology for treatment of the fluid-plate coupling indeed works conveniently and accurately for different structural flexibilities and is capable of efficiently simulating the processes of UNDEX with the employment of the acceleration strategy.

Keywords

65M0665N8574F10Fluid-structure interactionmodified ghost fluid methodcompressible flowthin elastic plateunderwater explosions
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 1 , February 2014 , pp. 24 - 48
Copyright
Copyright © Global-Science Press 2014

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