Semi implicit second order discontinuous Galerkin convection for ALE calculations

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Geijselaers, H.J.M. and Huetink, J. (2000) Semi implicit second order discontinuous Galerkin convection for ALE calculations. In: ECCOMAS, European Congress on Computational Methods in Applied Sciences and Engineering, 11-14 September 2000, Barcelona, Spain.

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Abstract:Element results are in general discontinuous across element boundaries. In
the ALE method and related moving element methods convection of these data with respect
to the element grid is required. The Discontinuous Galerkin Method provides an obvious
choice for discretization of this convective process.
In order to assure stability and accuracy at large step sizes (large values of the Courant
number), the Discontinuous Galerkin method is extended to second order. This is not
sufficient to obtain an attractive stability region. Therefore the equations are enriched with
selective implicit terms. This results in a remarkably stable convection scheme without the
use of any explicit limiting.
Results are shown of a standard pure advection test problem, the Molenkamp test and
of an extrusion simulation, which resembles convection with source terms
Item Type:Conference or Workshop Item
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Engineering Technology (CTW)
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Link to this item:http://purl.utwente.nl/publications/59340
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