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20 November 2009
Article (Scientific journals)
On the parameters of absorbing layers for shallow water models
Modave, Axel  ; Deleersnijder, Eric; Delhez, Eric 
2010 • In Ocean Dynamics, 60 (1), p. 65-79
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Keywords :
Boundary condition; Absorbing layer; Sponge layer; Shallow water model
Abstract :
[en] Absorbing/sponge layers used as boundary conditions for ocean/marine models are examined in the context of the shallow water equations with the aim to minimize the reflection of outgoing waves at the boundary of the computationaldomain. The ptimization of the absorption coefficient is not an issue in continuous models, for the reflection coefficient of outgoing waves can then be made as small as we please by increasing the absorption coefficient. The optimization of the parameters of absorbing layers is therefore a purely discrete problem. A balance must be found between the efficient damping of outgoing waves and the limited spatial resolution with which the resulting spatial gradients must be described. Using a one-dimensional model as a test case, the performances of various spatial distributions of the absorption coefficient are compared. Two shifted hyperbolic distributions of the absorption coefficient are derived from theoretical considerations for a pure propagative and a pure advective problems. These distribution show good performances. Their free parameter has a well-defined interpretation and can therefore be determined on a physical basis. The properties of the two shifted hyperbolas are illustrated using the classical two-dimensional problems of the collapse of a Gaussianshaped mound of water and of its advection by a mean current. The good behavior of the resulting boundary scheme remains when a full non-linear dynamics is taken into account.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Earth sciences & physical geography
Author, co-author :
Modave, Axel  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Mathématiques générales
Deleersnijder, Eric;  Université Catholique de Louvain - UCL > CESAME
Delhez, Eric ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Mathématiques générales
Language :
English
Title :
On the parameters of absorbing layers for shallow water models
Publication date :
February 2010
Journal title :
Ocean Dynamics
ISSN :
1616-7341
eISSN :
1616-7228
Publisher :
Springer Science & Business Media B.V., Heidelberg, Germany
Volume :
60
Issue :
1
Pages :
65-79
Peer reviewed :
Peer Reviewed verified by ORBi

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