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On an one-dimensional bi-layer shallow-water problem

✍ Scribed by Marı́a Luz Muñoz-Ruiz; Manuel Jesús Castro-Dı́az; Carlos Parés

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
311 KB
Volume
53
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper is concerned with the mathematical analysis and the numerical approximation of the system of partial di erential equations governing the one-dimensional ow of two superposed shallow layers of immiscible viscous uid in a channel with variable rectangular cross-section. First, we prove the existence and uniqueness of solution for small data and some smoothness results. Next, a ÿrst-order upwind scheme for numerically solving the system is proposed. We apply this scheme to the simulation of some two-layer exchange ows through straits with a sill and a contraction.

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