Modeling of interaction of a supersonic stream and the deformable panel in a shock tube

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 modelled 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 modelled 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.