The finite element method for two dimensional, high-speed flow-structure interaction is presented to predict the interaction behavior from the flow field, the structural temperature and the structural response. The upwind cell-centered and the Taylor-Galerkin methods were used to derive the finite element equations from the Navier-Stokes equations for high-speed flow analysis. The Galerkin method was used to develop the finite element equations for analyses of the transient heat transfer and the structural response from the energy equation and the equilibrium equations, respectively. In addition, the adaptive meshing technique was applied to increase the analysis solution accuracy of high-speed flow solution. The corresponding finite element computer programs were developed and verified by several examples that have exact solutions, experimental results or the results from other numerical methods. Then, more complex high-speed flow problems were used to demonstrate the effectiveness of the finite element methods that can predict detailed flow behavior past complex geometries. Finally, the coupled high-speed flow-structure problem were used to demonstrate the effectiveness of the adaptive finite element method for predicting interdisciplinary fluid-thermal-structural interaction phenomena.
