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| Reference : On some stability properties of the discretization of damped propagation of shallow-wate... |
| Scientific journals : Article | |||
| Physical, chemical, mathematical & earth Sciences : Earth sciences & physical geography | |||
| http://hdl.handle.net/2268/14535 | |||
| On some stability properties of the discretization of damped propagation of shallow-water inertia–gravity waves on the Arakawa B-grid | |
| English | |
Beckers, Jean-Marie  [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Océanographie physique >] | |
| 1-Oct-1999 | |
| Ocean Modelling | |
| Elsevier Science | |
| 1 | |
| 2-4 | |
| 53-69 | |
| International | |
| 1463-5003 | |
| Oxford | |
| United Kingdom | |
| [en] We investigate a problem mentioned by Deleersnijder and Campin (Deleersnijder, E., & Campin, J. -M. (1993). Ocean Modelling 97, 2), who looked at the problem of the discretization of inertia–gravity waves in the staggered B-grid. We generalize this study by adding diffusion. General stability conditions are found with the help of Miller's theorem, and the paradox found in Deleersnijder and Campin (Deleersnijder, E., & Campin, J. -M. (1993). Ocean Modelling 97, 2) is discussed. It is argued that it stems from inappropriate application of boundary conditions in conjunction with a Coriolis force treatment which could produce mechanical work. | |
| http://hdl.handle.net/2268/14535 | |
| 10.1016/S1463-5003(99)00005-0 |
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