Abstract

AbstractThis 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.Keywordsnonlinear nonstationary convection-diffusion problemsspace-time discontinuous Galerkin discretizationerror estimatesnumerical solution of compressible flow in time-dependent domainsALE methodairfoil vibrations

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