Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642677 | Journal of Computational and Applied Mathematics | 2007 | 11 Pages |
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 nonlinear 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
V.R. Ambati, O. Bokhove,