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Interpolation-free space-time remeshing for the Burgers Equation

✍ Scribed by Froncioni, A. M. ;Labbé, P. ;Garon, A. ;Camarero, R.

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
197 KB
Volume
13
Category
Article
ISSN
1069-8299

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✦ Synopsis

In this paper we present a mesh management strategy for use with discontinuous-Galerkin space±time ®nite element formulations of ¯ow problems. We propose a re®nement technique for simplex-type meshes which requires no interpolation between grids at slab interfaces. The strategy uses an a posteriori spatial error estimator to tag re®nement or coarsening. Orientation of element edges along ¯ow characteristics is accomplished by nodal displacement, and by a new diagonal-swapping technique to correct for the eects of misalignment due to h-re®nement. The swapping procedure realigns the mesh to improve the eectiveness of the h-adaptive process. Results are presented for the Burgers Equation using large time steps on a problem which exhibits merging and steepening fronts.

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