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Analysis and Computation with Stratified Fluid Models

โœ Scribed by Richard Liska; Burton Wendroff

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
626 KB
Volume
137
Category
Article
ISSN
0021-9991

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โœฆ Synopsis

Vertical averaging of the three-dimensional incompressible Euler equations leads to several reduced dimension models of flow over topography, including the one-layer and two-layer classic shallow water equations, and the one-layer and two-layer nonhydrostatic Green-Naghdi equations. These equations are derived and their well-posedness is discussed. Several implicit and explicit finite difference approximations of both the shallow water and Green-Naghdi models are presented, but for Green-Naghdi these are obtained using automatic code generation software. Numerical results are given in both wellposed and ill-posed regimes and compared with computations obtained by others.

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