Preprint 2003-002

A Lagrangian Discontinous Galerkin Type Method on Unstructured Meshes to Solve Hydrodynamics Problems

R. Loubere, J. Ovadia, and R. Abgrall

Abstract: This paper concerns a new lagrangian Discontinuous Galerkin type method to solve 2D fluid flows on unstructured meshes. By using a basis of Bernstein polynomials of degree $m$ in each triangle, we define a diffusion process which ensures positivity and stability of the scheme. The discontinuities of the physical variables at the interfaces between cells are solved with an acoustic Riemann solver. A remeshing process is performed with a particle method: this remeshing is locally conservative and its accuracy can be adapted to the accuracy of the numerical method.



Paper:
Available as PostScript (1.2 Mbytes) or gzipped PostScript (304 Kbytes; uncompress using gunzip).
Author(s):
R. Loubere <loubere@free.fr>
J. Ovadia <jean.ovadia@cea.fr>
R. Abgrall <abgrall@math.u-bordeaux.fr>
Publishing information:
Comments:
Submitted by:
<loubere@free.fr> January 5 2003.


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