| 313 | 2010 IGPM313_2.pdf |
| TITLE | A Well-Balanced Reconstruction of Wet /Dry Fronts for the Shallow Water Equations - revised version - (19. Dezember 2012) |
| AUTHORS | Andreas Bollermann, Guoxian Chen, Alexander Kurganov, Sebastian Noelle |
| ABSTRACT | In this paper, we construct a well-balanced, positivity preserving finite volume scheme for the shallow water equations based on a continuous, piecewise linear discretization of the bottom topography. The main new technique is a special reconstruction of the flow variables in wet–dry cells, which is presented in this paper for the one dimensional case. We realize the new reconstruction in the framework of the second-order semi-discrete central-upwind scheme from (Kurganov and Petrova, Commun. Math. Sci., 5(1):133–160, 2007). The positivity of the computed water height is ensured following (Bollermann et al., Commun. Comput. Phys., 10:371–404, 2011): The outgoing fluxes are limited in case of draining cells. |
| KEYWORDS | Hyperbolic systems of conservation and balance laws, Saint-Venant system of shallow water equations, Finite volume methods, Well-balanced schemes, Positivity preserving schemes, Wet/dry fronts |
| DOI | 10.1007/s10915-012-9677-5 |
| PUBLICATION | Journal of Scientific Computing volume 56, pages267–290 (2013) |
