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The Modified Ghost Fluid Method Applied to Fluid-Elastic Structure Interaction

Published online by Cambridge University Press:  03 June 2015

Tiegang Liu ,
A. W. Chowdhury  and
Boo Cheong Khoo
Tiegang Liu*
Affiliation:
LMIB and School of Mathematics and Systems Science, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
A. W. Chowdhury
Affiliation:
Department of Mechanical Engineering, National University of Singapore, Singapore 119260, Singapore
Boo Cheong Khoo*
Affiliation:
Department of Mechanical Engineering, National University of Singapore, Singapore 119260, Singapore Singapore-MIT Alliance, 4 Engineering Drive 3, National University of Singapore, Singapore 117576, Singapore
*
Corresponding author. Email: liutg@buaa.edu.cn
URL:http://serve.me.nus.edu.sg/khoobc/Email: mpekbc@nus.edu.sg
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Abstract

In this work, the modified ghost fluid method is developed to deal with 2D compressible fluid interacting with elastic solid in an Euler-Lagrange coupled system. In applying the modified Ghost Fluid Method to treat the fluid-elastic solid coupling, the Navier equations for elastic solid are cast into a system similar to the Euler equations but in Lagrangian coordinates. Furthermore, to take into account the influence of material deformation and nonlinear wave interaction at the interface, an Euler-Lagrange Riemann problem is constructed and solved approximately along the normal direction of the interface to predict the interfacial status and then define the ghost fluid and ghost solid states. Numerical tests are presented to verify the resultant method.

Keywords

65M0665N8574F1035L6535L6735Q74Fluid-elastic structure interactionEuler-Lagrange couplingEuler-Lagrange Riemann problemghost fluid methodmodified ghost fluid method
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 5 , October 2011 , pp. 611 - 632
Copyright
Copyright © Global-Science Press 2011

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