IMIS | Flanders Marine Institute
 

Flanders Marine Institute

Platform for marine research

IMIS

Publications | Institutes | Persons | Datasets | Projects | Maps
[ report an error in this record ]basket (0): add | show Printer-friendly version

On the mathematical stability of stratified flow models with local turbulence closure schemes
Deleersnijder, E.; Hanert, E.; Burchard, H.; Dijkstra, H.A. (2008). On the mathematical stability of stratified flow models with local turbulence closure schemes. Ocean Dynamics 58(3-4): 237-246. hdl.handle.net/10.1007/s10236-008-0145-6
In: Ocean Dynamics. Springer-Verlag: Berlin; Heidelberg; New York. ISSN 1616-7341, more
Peer reviewed article  

Available in Authors 
    VLIZ: Open Repository 258434 [ OMA ]

Keyword
    Marine
Author keywords
    Marine modelling; Vertical mixing; Turbulence closure; Stability

Authors  Top 
  • Deleersnijder, E., more
  • Hanert, E., more
  • Burchard, H.
  • Dijkstra, H.A.

Abstract
    Occasionally, numerical simulations using local turbulence closure schemes to estimate vertical turbulent fluxes exhibit small-scale oscillations in space, causing the eddy coefficients to vary over several orders of magnitude on short distances. Theoretical developments suggest that these spurious oscillations are essentially due to the way the eddy coefficients depend on the vertical gradient of the model’s variables. An instability criterion is derived based on the assumptions that the artefacts under study are due to the development of small-amplitude, small time- and space-scale perturbations of a smooth solution. The relevance of this criterion is demonstrated by applying it to a series a closure schemes, ranging from the Pacanowski–Philander formulas to the Mellor–Yamada level 2.5 model.

All data in IMIS is subject to the VLIZ privacy policy Top | Authors