314 RWTH Publication No: 47286        2010        IGPM314.pdf
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
DOI 10.1142/9789814417099_0030
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