Geodesic
Numerical modelling of algebraic closure models of oceanic turbulent mixing layers
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 44 (2010) no. 6, pp. 1255-1277

Voir la notice de l'article provenant de la source Numdam

We introduce in this paper some elements for the mathematical and numerical analysis of algebraic turbulence models for oceanic surface mixing layers. In these models the turbulent diffusions are parameterized by means of the gradient Richardson number, that measures the balance between stabilizing buoyancy forces and destabilizing shearing forces. We analyze the existence and linear exponential asymptotic stability of continuous and discrete equilibria states. We also analyze the well-posedness of a simplified model, by application of the linearization principle for non-linear parabolic equations. We finally present some numerical tests for realistic flows in tropical seas that reproduce the formation of mixing layers in time scales of the order of days, in agreement with the physics of the problem. We conclude that the typical mixing layers are transient effects due to the variability of equatorial winds. Also, that these states evolve to steady states in time scales of the order of years, under negative surface energy flux conditions.

DOI : 10.1051/m2an/2010025
Classification : 76D05, 35Q30, 76F65, 76D03
Keywords: turbulent mixing layers, Richardson number, first order closure models, conservative numerical solution, stability of steady states, tests for tropical seas 
@article{M2AN_2010__44_6_1255_0,
     author = {Bennis, Anne-Claire and Chac\'on Rebollo, Tomas and G\'omez M\'armol, Macarena and Lewandowski, Roger},
     title = {Numerical modelling of algebraic closure models of oceanic turbulent mixing layers},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1255--1277},
     publisher = {EDP-Sciences},
     volume = {44},
     number = {6},
     year = {2010},
     doi = {10.1051/m2an/2010025},
     mrnumber = {2769057},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010025/}
}
TY  - JOUR
AU  - Bennis, Anne-Claire
AU  - Chacón Rebollo, Tomas
AU  - Gómez Mármol, Macarena
AU  - Lewandowski, Roger
TI  - Numerical modelling of algebraic closure models of oceanic turbulent mixing layers
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2010
SP  - 1255
EP  - 1277
VL  - 44
IS  - 6
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010025/
DO  - 10.1051/m2an/2010025
LA  - en
ID  - M2AN_2010__44_6_1255_0
ER  - 
%0 Journal Article
%A Bennis, Anne-Claire
%A Chacón Rebollo, Tomas
%A Gómez Mármol, Macarena
%A Lewandowski, Roger
%T Numerical modelling of algebraic closure models of oceanic turbulent mixing layers
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2010
%P 1255-1277
%V 44
%N 6
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010025/
%R 10.1051/m2an/2010025
%G en
%F M2AN_2010__44_6_1255_0
Bennis, Anne-Claire; Chacón Rebollo, Tomas; Gómez Mármol, Macarena; Lewandowski, Roger. Numerical modelling of algebraic closure models of oceanic turbulent mixing layers. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 44 (2010) no. 6, pp. 1255-1277. doi: 10.1051/m2an/2010025

Cité par Sources :