Space-time discontinuous Galerkin finite element method for shallow water flows

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Ambati, V.R. and Bokhove, O. (2007) Space-time discontinuous Galerkin finite element method for shallow water flows. Journal of Computational and Applied Mathematics, 204 (2). pp. 452-462. ISSN 0377-0427

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Abstract:A space-time discontinuous Galerkin (DG) finite element method is presented for the shallow water equations over varying bottom topography. The method results in non-linear equations per element, which are solved locally by establishing the element communication with a numerical HLLC flux. To deal with spurious oscillations around discontinuities, we employ a dissipation operator only around discontinuities using Krivodonova's discontinuity detector. The numerical scheme is verified by comparing numerical and exact solutions, and validated against a laboratory experiment involving flow through a contraction. We conclude that the method is second order accurate in both space and time for linear polynomials.
Item Type:Article
Copyright:© 2007 Elsevier
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/65586
Official URL:http://dx.doi.org/10.1016/j.cam.2006.01.047
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Metis ID: 237998