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Het OWA, het open archief van het Waterbouwkundig Laboratorium heeft tot doel alle vrij toegankelijke onderzoeksresultaten van dit instituut in digitale vorm aan te bieden. Op die manier wil het de zichtbaarheid, verspreiding en gebruik van deze onderzoeksresultaten, alsook de wetenschappelijke communicatie maximaal bevorderen.

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one publication added to basket [110829]
Overshootings and spurious oscillations caused by biharmonic mixing Delhez, E.J.M.; Deleersnijder, E. (2007). Overshootings and spurious oscillations caused by biharmonic mixing. Ocean Modelling 17(3): 183-198. dx.doi.org/10.1016/j.ocemod.2007.01.002 In: Ocean Modelling. Elsevier: Oxford. ISSN 1463-5003; e-ISSN 1463-5011, meer

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Beschikbaar in	Auteurs
VLIZ: Open Marine Archive 121234 [ download pdf ]

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Trefwoorden

Mixing processes Models > Mathematical models Marien/Kust

Author keywords

biharmonic mixing; numerical model; ocean dynamics; monotonicity; positiveness

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Auteurs		Top
Delhez, E.J.M., meer Deleersnijder, E., meer

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Abstract

Biharmonic mixing is often used in large scale numerical models of the ocean because of its scale selectivity; it effectively damps small scale noise and leaves the large scale dynamics nearly unaffected. The biharmonic operator lacks however positiveness and monotonicity and can therefore produce unphysical results exhibiting spurious overshootings and oscillations. This problematic behaviour cannot be avoided by the addition of an ordinary Laplacian diffusion term. It appears in both continuous and discrete approaches/solutions in both unbounded and bounded domains. The overshootings and oscillations are induced by the strong damping of the smaller scale modes and are therefore comparable to the Gibbs’ phenomenon. With appropriate boundary conditions, the variance of the field decreases monotonically and the oscillations are expected to remain small. The lack of positiveness is however a severe drawback for (dynamic) tracer studies.

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