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Russia Izhevsk
Section Mechanics
Title Modeling of interaction of a supersonic stream and the deformable panel in a shock tube
Author(-s) Kopysov S.P.a, Kuz'min I.M.a, Tonkov L.E.a
Affiliations Institute of Mechanics, Ural Branch of the Russian Academy of Sciencesa
Abstract This paper presents an algorithm for solving the FSI problem of gas-structure interaction between a supersonic flow and a deformable panel. Gas flows are modeled by the system of conservation equations for a perfect gas. Numerical integration is based on the finite volume method. To approximate convective flows in space, a monotonic scheme is used, providing a second-order approximation in the smooth parts of the domain. For dynamic panel deformation, the finite element method is used to discretize the spatial variables and the Newmark method is used to discretize the time variable. Numerical solution of the FSI problem is obtained on nonmatching unstructured meshes providing different discretization and approximation schemes. Boundary interactions are modeled by the algorithm of bidirectional weak binding. Obtained numerical results are compared with available experimental data. A number of different factors affecting the gas flow and the panel shape are analyzed.
Keywords fluid-structure interaction, shock tube, numerical modeling
UDC 519.63
MSC 74F10
DOI 10.20537/vm120214
Received 12 January 2012
Language Russian
Citation Kopysov S.P., Kuz'min I.M., Tonkov L.E. Modeling of interaction of a supersonic stream and the deformable panel in a shock tube, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012, issue 2, pp. 156-165.
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