In recent years upwind differencing has gained acceptance as a robust and accurate technique for the numerical approximation of the one-dimensional shallow water equations. In two dimensions the benefits have been less marked due to the reliance of the methods on standard operator splitting techniqu
On the Number of Conserved Quantities for the Two-Layer Shallow-Water Equations
β Scribed by P. J. Montgomery; T. B. Moodie
- Book ID
- 108542704
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 277 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0022-2526
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A study of a number of current numerical schemes for the shallow water equations leads to the establishment of relationships between these schemes. Further analysis then suggests new formulations of the schemes, as well as an alternative scheme having the same key properties.
A particle-in-cell (PIC) numerical method developed for the study of shallow-water dynamics, when the moving fluid layer is laterally confined by the intersection of its top and bottom surfaces, is described. The effect of ambient rotation is included for application to geophysical fluids, particula