A number of the standard numerical methods used to solve the two-dimensional shallow water wave equations are unstable if their domains contain dry beds. We present a robust and stable finite volume method based on an unstructured triangular grid which can deal with dry beds. In particular we present a second-order explicit method which deal with dry beds in a stable manner. The method uses a simple approximate one dimensional Riemann solver due to Toro which provides the basis for an efficient implementation.
@article{645,
title = {Robust and efficient solution of the 2D shallow water equation with domains containing dry beds},
journal = {ANZIAM Journal},
volume = {42},
year = {2000},
doi = {10.21914/anziamj.v42i0.645},
language = {EN},
url = {http://dml.mathdoc.fr/item/645}
}
Roberts, Stephen; Zoppou, Christopher. Robust and efficient solution of the 2D shallow water equation with domains containing dry beds. ANZIAM Journal, Tome 42 (2000) . doi : 10.21914/anziamj.v42i0.645. http://gdmltest.u-ga.fr/item/645/