Space-time discontinuous Galerkin finite element method for convection-diffusion problems and compressible flow

Abstract

This paper is concerned with the numerical solution of nonstationary, nonlinear, convection-diffusion problems by the space-time discontinuous Galerkin finite element method (DGFEM) and applications to compressible flow. The first part is devoted to theoretical analysis of error estimates of the method.

In the second part, this technique is applied to the numerical solution of compressible flow in time-dependent domains and the simulation of flow induced airfoil vibrations.

Keywords

• space-time discontinuous Galerkin finite element method
• convection-diffusion problems
• compressible flow