314 | IGPM314.pdf December 2010 |
TITLE | On the Hyperbolicity of Two- and Three-Layer Shallow Water Equations |
AUTHORS | Manuel Castro, Jörn Thies Frings, Sebastian Noelle, Carlos Pares, Gabriella Puppo |
ABSTRACT | The two-layer shallow water system looses hyperbolicity if the magnitude of the shear velocity is above a certain threshold, essentially determined by the density difference between the two layers. Introducing an additional third layer might recover hyperbolicity in regions of strong shear. We demonstrate that this adaptive two/three-layer approach can cure some of the shortcomings of the two-layer model. |
KEYWORDS | Multi-layer shallow water equations, Kelvin-Helmholtz instability, adaptive choice of layers |
PUBLICATION | Hyperbolic problems: theory, numerics, applications : proceedings of 13th International Conference on Hyperbolic Problems (HYP2010) ; Beijing, China, 15-19 June 2010 / Tatsien Li, Song Jiang, (eds.). - Vol. 1 Series in contemporary applied mathematics 17, 337-345 (2012) ISBN 978-981-4417-06-8 |