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Some families of exact solutions of the equations of two-dimensional shallow water theory

✍ Scribed by M. T. Gladyshev

Publisher
SP MAIK Nauka/Interperiodica
Year
1972
Tongue
English
Weight
547 KB
Volume
10
Category
Article
ISSN
0021-8944

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πŸ“œ SIMILAR VOLUMES

Approximate Riemann solutions of the two
Approximate Riemann solutions of the two-dimensional shallow-water equations
✍ P. Glaister πŸ“‚ Article πŸ“… 1990 πŸ› Springer 🌐 English βš– 366 KB

A finite-difference scheme based on flux difference splitting is presented for the solution of the two-dimensional shallow-water equations of ideal fluid flow. A linearised problem, analogous to that of Riemann for gasdynamics, is defined and a scheme, based on numerical characteristic decomposition

Stability of some exact solutions of the
Stability of some exact solutions of the shallow-water equations for testing numerical models in spherical geometry
✍ A. Staniforth; A. A. White πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 128 KB

## Abstract Five families of exact axisymmetric solutions of the nonlinear shallow‐water equations in spherical geometry have recently been proposed as an aid to the development and testing of global numerical models. Sufficient conditions for the stability of these solutions are here derived to gu