Year: 2011
Author: Tiegang Liu, A. W. Chowdhury, Boo Cheong Khoo
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 5 : pp. 611–632
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m1054
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 5 : pp. 611–632
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Fluid-elastic structure interaction Euler-Lagrange coupling Euler-Lagrange Riemann problem ghost fluid method modified ghost fluid method.