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 mailto [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
Yes
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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