Author： Liska R. Wendroff B.
Publisher： Academic Press
ISSN： 0021-9991
Source： Journal of Computational Physics, Vol.137, Iss.1, 1997-10, pp. : 212-244
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Abstract
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 well-posed and ill-posed regimes and compared with computations obtained by others. Copyright 1997 Academic Press.
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