Loading...
Please wait, while we are loading the content...
Space-time discontinuous Galerkin finite element method for shallow water flows
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ambati, Vijaya R. Bokhove, Onno |
| Copyright Year | 2007 |
| 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. |
| Starting Page | 452 |
| Ending Page | 462 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.cam.2006.01.047 |
| Volume Number | 204 |
| Alternate Webpage(s) | http://eprints.eemcs.utwente.nl/1935/01/abswe05-jcam_new.pdf |
| Alternate Webpage(s) | https://ris.utwente.nl/ws/portalfiles/portal/6552372/abswe05-jcam_new.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.cam.2006.01.047 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
