## Relaxation Schemes for the Shallow Water Equations (2003)

by
A. I. Delis
,
Th. Katsaounis

Venue: | INT. J. NUMER. METH. FLUIDS |

Citations: | 7 - 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}

}

### OpenURL

### 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.