Interaction of High-Speed Compressible Viscous Flow and Structure by Adaptive Finite Element Method

Interaction behaviors of high-speed compressible viscous flow and thermal-structural re-sponse of structure are presented. The compressible viscous laminar flow behavior based on the Navier-Stokes equations is predicted by using an adaptive cell-centered finite-element method. The energy equation and the quasi-static structural equations for aerodynamically heated structures are solved by applying the Galerkin finite-element method. The finite-element formulation and computational procedure are described. The performance of the combined method is evaluated by solving Mach 4 flow past a fiat plate and comparing with the solution from the finite different method. To demonstrate their interaction, the high speed flow, structural heat transfer, and deformation phenomena are studied by applying the present method to Mach 10 flow past a flat plate