TY - JOUR T1 - The Modified Ghost Fluid Method Applied to Fluid-Elastic Structure Interaction AU - Liu , Tiegang AU - Chowdhury , A. W. AU - Khoo , Boo Cheong JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 611 EP - 632 PY - 2011 DA - 2011/03 SN - 3 DO - http://doi.org/10.4208/aamm.10-m1054 UR - https://global-sci.org/intro/article_detail/aamm/186.html KW - Fluid-elastic structure interaction, Euler-Lagrange coupling, Euler-Lagrange Riemann problem, ghost fluid method, modified ghost fluid method. AB -

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.