Geodesic
Cluster analysis of large-scale hydrodynamic characteristics of the Arctic seas based on the results of eddy-permitting modeling
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 1202-1226 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The characteristics of the eddy mass transport are estimated depending on the values of the parameters of a large-scale flow that forms under the conditions of the shelf seas in the Arctic. For this, the results of numerical simulation of five Arctic seas with a horizontal resolution permitting the development of mesoscale eddies are used. The parameters obtained in numerical experiments are considered as a statistical sample and are analyzed for their independence. Further clusterization in space of found set of most independent variables allows to identify several separate types of eddies. The features of the resulting clustering are described and discussed in the presented work.
Keywords: eddy mass transport, subgrid-scale processes, parametrization, clustering. 
@article{SEMR_2024_21_2_a52,
     author = {G. A. Platov and E. N. Golubeva},
     title = {Cluster analysis of large-scale hydrodynamic characteristics of the {Arctic} seas based on the results of eddy-permitting modeling},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1202--1226},
     year = {2024},
     volume = {21},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a52/}
}
TY  - JOUR
AU  - G. A. Platov
AU  - E. N. Golubeva
TI  - Cluster analysis of large-scale hydrodynamic characteristics of the Arctic seas based on the results of eddy-permitting modeling
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2024
SP  - 1202
EP  - 1226
VL  - 21
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a52/
LA  - en
ID  - SEMR_2024_21_2_a52
ER  - 
%0 Journal Article
%A G. A. Platov
%A E. N. Golubeva
%T Cluster analysis of large-scale hydrodynamic characteristics of the Arctic seas based on the results of eddy-permitting modeling
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2024
%P 1202-1226
%V 21
%N 2
%U http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a52/
%G en
%F SEMR_2024_21_2_a52
G. A. Platov; E. N. Golubeva. Cluster analysis of large-scale hydrodynamic characteristics of the Arctic seas based on the results of eddy-permitting modeling. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 1202-1226. http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a52/

[1] G. Platov, D. Iakshina, E. Golubeva, “Parametrization of eddy mass transport in the Arctic seas based on the sensitivity analysis of large-scale flows”, Water, 15:3 (2023), 472 | DOI

[2] J.W. Deardorff, G.E. Willis, “Turbulence within a baroclinic laboratory mixed layer above a sloping surface”, J. Atmos. Sci., 44:4 (1987), 772–780 | 2.0.CO;2 class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI

[3] V.N. Lykossov, “K-theory of atmospheric turbulent planetary boundary layer and the Boussinesq's generalized hypothesis”, Sov. J. Numer. Anal. Math. Modeling, 5:3 (1990), 221–240

[4] V.N. Lykossov, G.A. Platov, “A numerical model of interaction between atmospheric and oceanic boundary layers”, Rus. J. Numer. Anal. Math. Modeling, 7:5 (1992), 419–440 | DOI

[5] G.A. Platov, E.N. Golubeva, “Interaction of dense shelf waters of the Barents and Kara seas with the eddy structures”, Morskoy Gidrofizicheskiy Zh., 35:6 (2019), 484–503 | DOI

[6] E.N. Golubeva, G.A. Platov, “Numerical modeling of the Arctic Ocean ice system response to variations in the atmospheric circulation from 1948 to 2007”, Izv. Atmos. Ocean. Phys., 45 (2009), 137–151 | DOI

[7] A.F. Blumberg, G.L. Mellor, “A description of a three-dimensional coastal ocean circulation model”, Three-Dimensional Coastal Ocean Models, Coastal and Estuarine Sciences, 4, ed. N.S. Heaps, American Geophysical Union, Washington, 1987, 1–16 | DOI

[8] G.A. Platov, J.F. Middleton, “Notes on pressure gradient correction”, Bull. Novosib. Comput. Cent., Ser. Numer. Model. Atmos. Ocean Environ. Stud., 7 (2001), 43–58 | Zbl

[9] G. Platov, E. Golubeva, “Characteristics of mesoscale eddies of Arctic marginal seas: Results of numerical modeling”, IOP Conf. Ser.: Earth Environ. Sci., 611 (2020), 012009 | DOI

[10] G. Berkooz, P. Holmes, J.L. Lumley, “The proper orthogonal decomposition in the analysis of turbulent flows”, Annu. Rev. Fluid Mech., 25 (1993), 539–575 | DOI

[11] S.P. Lloyd, “Least squares quantization in PCM”, IEEE Trans. Inf. Theory, 28 (1982), 129–137 | DOI | Zbl

[12] D. Arthur, S. Vassilvitskii, “k-means++: the advantages of careful seeding”, Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms, SODA 2007, SIAM, Philadelphia, 2007, 1027–1035 | Zbl

[13] J. Dunn, “Well-separated clusters and optimal fuzzy partitions”, J. Cybern., 4:1 (1974), 95–104 | DOI | Zbl