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

Authors:
Miloslav Feistauer;Jan Česenek
Affiliations:
Charles University Prague, Faculty of Mathematics and Physics, Praha 8, Czech Republic;Charles University Prague, Faculty of Mathematics and Physics, Praha 8, Czech Republic
Venue:
NMA'10 Proceedings of the 7th international conference on Numerical methods and applications
Year:
2010

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Abstract

This paper is concerned with the numerical solution of non-stationary, 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.