Volume 3, Issue 5
The Modified Ghost Fluid Method Applied to Fluid-Elastic Structure Interaction

Tiegang Liu, A. W. Chowdhury & Boo Cheong Khoo

Adv. Appl. Math. Mech., 3 (2011), pp. 611-632.

Published online: 2011-03

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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

Fluid-elastic structure interaction Euler-Lagrange coupling

  • AMS Subject Headings

65M06 65N85 74F10 35L65 35L67 35Q74

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-3-611, author = {Tiegang Liu, A. W. Chowdhury and Boo Cheong Khoo}, title = {The Modified Ghost Fluid Method Applied to Fluid-Elastic Structure Interaction}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2011}, volume = {3}, number = {5}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1054}, url = {http://global-sci.org/intro/article_detail/aamm/186.html} }
TY - JOUR T1 - The Modified Ghost Fluid Method Applied to Fluid-Elastic Structure Interaction AU - Tiegang Liu, A. W. Chowdhury & Boo Cheong Khoo JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 611 EP - 632 PY - 2011 DA - 2011/03 SN - 3 DO - http://dor.org/10.4208/aamm.10-m1054 UR - https://global-sci.org/intro/aamm/186.html KW - Fluid-elastic structure interaction KW - Euler-Lagrange coupling KW - 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.

Tiegang Liu, A. W. Chowdhury & Boo Cheong Khoo. (1970). The Modified Ghost Fluid Method Applied to Fluid-Elastic Structure Interaction. Advances in Applied Mathematics and Mechanics. 3 (5). 611-632. doi:10.4208/aamm.10-m1054
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