|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|
|On some stability properties of the discretization of damped propagation of shallow-water inertia–gravity waves on the Arakawa B-grid|
|Beckers, Jean-Marie [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Océanographie physique >]|
|[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.|
|File(s) associated to this reference|
All documents in ORBi are protected by a user license.