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Title: The ghost solid method for the elastic solid-solid interface
Authors: Kaboudian, A.
Khoo, B.C. 
Keywords: Elastic interaction
Ghost fluid method
Ghost solid method
Non-physical oscillation
Issue Date: 15-Jan-2014
Citation: Kaboudian, A., Khoo, B.C. (2014-01-15). The ghost solid method for the elastic solid-solid interface. Journal of Computational Physics 257 (PA) : 102-125. ScholarBank@NUS Repository.
Abstract: In this work, three variants of Ghost Solid Method (GSM) are proposed for application to the boundary conditions at the solid-solid interface of isotropic linearly elastic materials, in a Lagrangian framework. It is shown that, in the presence of the wave propagation through the solid-solid mediums, the original GSM [1] can lead to non-physical oscillations in the solution, even for first-order solvers. It is discussed and numerically shown that these oscillations will be more severe if a higher order solver is employed using the original GSM. A scheme for prediction of these non-physical oscillations at the interface is also introduced. The other two variants of GSM proposed, however, can remove the non-physical oscillations that may rise at the interface. Next, the extension to two-dimensional settings with slip and no-slip conditions at the interface is carried out. Numerous numerical examples in one- and two-dimensional settings are provided attesting to the viability and effectiveness of the GSM for treating wave propagation at the solid-solid interface. © 2013 Elsevier Inc.
Source Title: Journal of Computational Physics
ISSN: 00219991
DOI: 10.1016/
Appears in Collections:Staff Publications

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