A high-order discontinuous Galerkin method for unsteady compressible flows with immersed boundaries

Stephan Krämer-Eis

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In a variety of industrial applications the understanding of compressible flows is of major interest and ranges from the accurate...

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In a variety of industrial applications the understanding of compressible flows is of major interest and ranges from the accurate prediction of high speed flows to the deeper understanding of the collapse of a cavitation bubble. In many cases, state of the art tools applied in industry are not able to correctly capture the complex physics due to their low accuracy. Thus, high-order methods gain considerably popularity because of their improved accuracy. One of these methods is the discontinuous Galerkin method. However, there are still numerous unsolved problems in context of high-order methods, for example difficult mesh generation with curved elements, higher memory consumption and inefficient time integration.