Discontinuous Galerkin method for the fluid-structure interaction

Abstract

The subject of the paper is the brief description of the stability analysis of the space-time discontinuous Galerkin method for the numerical solution of a model nonlinear parabolic problem in a time dependent domain. The analyzed method is used for the solution of compressible flow in a time-dependent domain and interacted with an elastic body, applied to the simulation of vocal fold flow-induced vibrations.

Keywords

• Discontinuous Galerkin method
• fluid-structure interaction
• compressible flow
• elastic body