| Title | Analytic solutions to the shallow water equations |
|---|---|
| Publication Type | Articolo su Rivista peer-reviewed |
| Year of Publication | 2005 |
| Authors | Iacono, Roberto |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 72 |
| ISSN | 15393755 |
| Keywords | Flow of fluids, Momentum equation, Nondivergent flows, Shallow water equations, Vortex flow, Water |
| Abstract | Analytic, two-dimensional steady-state solutions to the rotating shallow water equations over variable topography are derived, by exploiting a drastic simplification of the equilibrium problem that occurs for nondivergent flows. For such flows, the equilibrium system decouples, and the cross-stream component of the momentum equation formally reduces to the barotropic vorticity equation. Thus, any solution to the barotropic vorticity equation can be used, in principle, to construct exact equilibrium solutions to the shallow water equations. © 2005 The American Physical Society. |
| Notes | cited By 3 |
| URL | https://www.scopus.com/inward/record.uri?eid=2-s2.0-27244445752&doi=10.1103%2fPhysRevE.72.017302&partnerID=40&md5=036298bd7636b9abcbe51161aeb4b0d5 |
| DOI | 10.1103/PhysRevE.72.017302 |
| Citation Key | Iacono2005 |
