Relaxation Schemes for the Shallow Water Equations (2003)
by
A. I. Delis
,
Th. Katsaounis
| Venue: | INT. J. NUMER. METH. FLUIDS |
| Citations: | 5 - 0 self |
BibTeX
@ARTICLE{Delis03relaxationschemes,
author = {A. I. Delis and Th. Katsaounis},
title = {Relaxation Schemes for the Shallow Water Equations},
journal = {INT. J. NUMER. METH. FLUIDS},
year = {2003},
volume = {41},
pages = {695--719}
}
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Abstract
We present a class of first and second order in space and time relaxation schemes for the shallow water (SW) equations. A new approach of incorporating the geometrical source term in the relaxation model is also presented. The schemes are based on classical relaxation models combined with Runge-Kutta time stepping mechanisms. Numerical results are presented for several benchmark test problems with or without the source term present.
