A high order moving interface treatment for fluid-structure interaction in compressible flow

Abstract: In this study, we present a high order moving interface treatment for fluidstructure interaction (FSI) problems between compressible viscous flows and deformable structure. We consider a loosely partitioned coupling strategy that involves three parts: flow solver, structure solver and fluid-structure interface treatment. In particular, the compressible Navier-Stokes equations are solved by a high order finite difference method on fixed Cartesian Eulerian grids. The structure is considered as a beam under the linearity assumption, which is solved by a standard finite element method in Lagrangian coordinates. In terms of the fluid-structure interaction interface treatment, a new simplified inverse Lax-Wendroff approach is extended and implemented to ensure global high order accuracy. To validate our method, we provide several numerical tests including accuracy test, acoustic wave scattering from cylinder, shock-loaded rigid cylinder and deformation of a panel induced by shock waves. The numerical results demonstrate that our method is capable of handling FSI problems involving shock wave and structure deformations non-oscillatorily and with high order accuracy for smooth solutions.

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