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Title: The modified ghost fluid method for coupling of fluid and structure constituted with hydro-elasto-plastic equation of state
Authors: Liu, T.G.
Xie, W.F.
Khoo, B.C. 
Keywords: Approximate Riemann problem solver
Fluid-compressible structure coupling
Gfm Riemann problem
Modified ghost fluid method
Issue Date: 2007
Citation: Liu, T.G., Xie, W.F., Khoo, B.C. (2007). The modified ghost fluid method for coupling of fluid and structure constituted with hydro-elasto-plastic equation of state. SIAM Journal on Scientific Computing 30 (3) : 1105-1130. ScholarBank@NUS Repository.
Abstract: In this work, the modified ghost fluid method (MGFM) [T. G. Liu, B. C. Khoo, and K. S. Yeo, J. Comput. Phys., 190 (2003), pp. 651-681] is further developed and applied to treat the compressible fluid-compressible structure coupling. To facilitate theoretical analysis, the structure is modeled as elastic-plastic material with perfect plasticity and constituted with the hydro-elastoplastic equation of state [H. S. Tang and F. Sotiropoulos, J. Comput. Phys., 151 (1999), pp. 790-815] under strong impact. This results in the coupled compressible fluid-compressible structure system which is fully hyperbolic. To understand the effect of structure deformation on the interfacial and flow status, the compressible fluid-compressible structure Riemann problem is analyzed in the consideration of material deformation with an approximate Riemann problem solver proposed to take into account the effect of material elastic-plastic deformation. We clearly show the ghost fluid method can be applied to treat the flow-deformable structure coupling under strong impact provided that a proper Riemann problem solver is used to predict the ghost fluid states. And the resultant MGFM can work effectively and efficiently in such situations. Various examples are presented to validate and support the conclusions reached. © 2008 Society for Industrial and Applied Mathematics.
Source Title: SIAM Journal on Scientific Computing
ISSN: 10648275
DOI: 10.1137/050647013
Appears in Collections:Staff Publications

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