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Shallow Water Equations (SWE)
| Content Provider | Scilit |
|---|---|
| Author | Malek-Madani, Reza |
| Copyright Year | 2012 |
| Description | In Chapters 6 and 7 we derived the Navier-Stokes equations in nonrotating and rotating frames. In this chapter we concentrate on the PDEs in the non-rotating frame and derive the Shallow Water Equations (SWE) as a perturbation of the Navier-Stokes equations. Shallow Water Equations constitute one of the fundamental systems of equations in fluid dynamics, typically applied to settings where horizontal scales are considerably larger than the vertical one, a common occurrence in oceans and the atmosphere. The presentation here is motivated by those in the books An Introduction to Fluid Dynamics by G. K. Batchelor, Water Waves, by J. J. Stoker, and in the paper “Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation,” by J.- F. Gerbeau and Benoit Perthame. Book Name: Physical Oceanography |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2009-0-18165-0&isbn=9780429112362&doi=10.1201/b11856-11&format=pdf |
| Ending Page | 356 |
| Page Count | 50 |
| Starting Page | 307 |
| DOI | 10.1201/b11856-11 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2012-04-20 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Physical Oceanography Fluids and Plasmas Physics Shallow Water Water Equations |
| Content Type | Text |
| Resource Type | Chapter |
