Volume 6, Issue 1
Modified Ghost Fluid Method as Applied to Fluid-Plate Interaction

Liang Xu & Tiegang Liu

Adv. Appl. Math. Mech., 6 (2014), pp. 24-48.

Published online: 2014-06

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  • Abstract

The modified ghost fluid method (MGFM) provides a robust and efficient interface treatment for various multi-medium flow simulations and some particular fluid-structure interaction (FSI) simulations. However, this methodology for one specific class of FSI problems, where the structure is plate, remains to be developed. This work is devoted to extending the MGFM to treat compressible fluid coupled with a thin elastic plate. In order to take into account the influence of simultaneous interaction at the interface, a fluid-plate coupling system is constructed at each time step and solved approximately to predict the interfacial states. Then, ghost fluid states and  plate load can be defined by utilizing the obtained interfacial states. A type of acceleration strategy in the coupling process is presented to pursue higher efficiency. Several one-dimensional examples are used to highlight the utility of this method over loosely-coupled method and validate the acceleration techniques. Especially, this method is applied to compute the underwater explosions (UNDEX) near thin elastic plates. Evolution of strong shock impacting on the thin elastic plate and dynamic response of the plate are investigated. Numerical results disclose that this methodology for treatment of the fluid-plate coupling indeed works conveniently and accurately for different structural flexibilities and is capable of efficiently simulating the processes of UNDEX with the employment of the acceleration strategy.

  • Keywords

Fluid-structure interaction modified ghost fluid method compressible flow thin elastic plate underwater explosions

  • AMS Subject Headings

65M06 65N85 74F10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-6-24, author = {Liang Xu and Tiegang Liu}, title = {Modified Ghost Fluid Method as Applied to Fluid-Plate Interaction}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2014}, volume = {6}, number = {1}, pages = {24--48}, abstract = {

The modified ghost fluid method (MGFM) provides a robust and efficient interface treatment for various multi-medium flow simulations and some particular fluid-structure interaction (FSI) simulations. However, this methodology for one specific class of FSI problems, where the structure is plate, remains to be developed. This work is devoted to extending the MGFM to treat compressible fluid coupled with a thin elastic plate. In order to take into account the influence of simultaneous interaction at the interface, a fluid-plate coupling system is constructed at each time step and solved approximately to predict the interfacial states. Then, ghost fluid states and  plate load can be defined by utilizing the obtained interfacial states. A type of acceleration strategy in the coupling process is presented to pursue higher efficiency. Several one-dimensional examples are used to highlight the utility of this method over loosely-coupled method and validate the acceleration techniques. Especially, this method is applied to compute the underwater explosions (UNDEX) near thin elastic plates. Evolution of strong shock impacting on the thin elastic plate and dynamic response of the plate are investigated. Numerical results disclose that this methodology for treatment of the fluid-plate coupling indeed works conveniently and accurately for different structural flexibilities and is capable of efficiently simulating the processes of UNDEX with the employment of the acceleration strategy.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2012.m50}, url = {http://global-sci.org/intro/article_detail/aamm/3.html} }
TY - JOUR T1 - Modified Ghost Fluid Method as Applied to Fluid-Plate Interaction AU - Liang Xu & Tiegang Liu JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 24 EP - 48 PY - 2014 DA - 2014/06 SN - 6 DO - http://dor.org/10.4208/aamm.2012.m50 UR - https://global-sci.org/intro/aamm/3.html KW - Fluid-structure interaction KW - modified ghost fluid method KW - compressible flow KW - thin elastic plate KW - underwater explosions AB -

The modified ghost fluid method (MGFM) provides a robust and efficient interface treatment for various multi-medium flow simulations and some particular fluid-structure interaction (FSI) simulations. However, this methodology for one specific class of FSI problems, where the structure is plate, remains to be developed. This work is devoted to extending the MGFM to treat compressible fluid coupled with a thin elastic plate. In order to take into account the influence of simultaneous interaction at the interface, a fluid-plate coupling system is constructed at each time step and solved approximately to predict the interfacial states. Then, ghost fluid states and  plate load can be defined by utilizing the obtained interfacial states. A type of acceleration strategy in the coupling process is presented to pursue higher efficiency. Several one-dimensional examples are used to highlight the utility of this method over loosely-coupled method and validate the acceleration techniques. Especially, this method is applied to compute the underwater explosions (UNDEX) near thin elastic plates. Evolution of strong shock impacting on the thin elastic plate and dynamic response of the plate are investigated. Numerical results disclose that this methodology for treatment of the fluid-plate coupling indeed works conveniently and accurately for different structural flexibilities and is capable of efficiently simulating the processes of UNDEX with the employment of the acceleration strategy.

Liang Xu & Tiegang Liu. (1970). Modified Ghost Fluid Method as Applied to Fluid-Plate Interaction. Advances in Applied Mathematics and Mechanics. 6 (1). 24-48. doi:10.4208/aamm.2012.m50
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