Analysis and computation with stratified fluid models
Journal Article
·
· Journal of Computational Physics
- Czech Technical Univ., Prague (Czech Republic)
- Los Alamos National Lab., NM (United States)
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. 26 refs., 12 figs., 1 tab.
- OSTI ID:
- 617693
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 137; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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