DG and MUSCL approaches

Comparison of some recent variants

Conference paper (2006)

Authors

M. Borrel

Vortex flow Discontinuous Galerkin method MUSCL Planar wave

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Published Date

05-09-2006

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Abstract

In this preliminary study, we compare the behavior of two classical numerical approaches in compressible fluid dynamics , the MUSCL and the Discontinuous Galerkin (DG) method, applied to aeroacoustics and vortex computation, these two fields being related as noise is often produced from vortex fluctuations. The calculation of the unsteady effects with a minimum of dissipation and numerical dispersion is then of primary importance and it is necessary to re-examine, accordingly, these methods and their multiple variants which often were established and validated for steady flows with strong discontinuities (cf. [1] or [2] for example); in addition, these methods were recently the object of important improvements (cf. for example [3], [4], [5], [6]) which must be integrated and tested. As we are interested here only in propagation problems, we will neglect the viscous effects.

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