FN Archimer Export Format
PT J
TI An ocean drum: quasi-geostrophic energetics from a Riemann geometry perspective
BT
AF JARAMILLO, Jose Luis
AS 1:1,2;
FF 1:;
C1 Univ Bourgogne Franche Comte, IMB, CNRS, UMR 5584, F-21000 Dijon, France.
Univ Bretagne Occidentale, LPO, UMR 6523, F-29200 Brest, France.
C2 UNIV BOURGOGNE FRANCHE COMTE, FRANCE
UBO, FRANCE
UM LOPS
IF 1.857
TC 0
UR https://archimer.ifremer.fr/doc/00600/71198/69568.pdf
LA English
DT Article
DE ;quasi-geostrophic equations;spectral geometry;statistical mechanics
AB We revisit the discussion of the energetics of quasi-geostrophic flows from a geometric perspective based on the introduction of an effective metric, built in terms of the flow stratification and the Coriolis parameter. In particular, an appropriate notion of normal modes is defined through a spectral geometry problem in the ocean basin (a compact manifold with boundary) for the associated Laplace-Beltrami scalar operator. This spectral problem can be used to systematically encode non-local aspects of stratification and topography. As examples of applications we revisit the isotropy assumption in geostrophic turbulence, identify (a patch of) the hyperbolic space H-3 as the leading-order term in the effective geometry for the deep mesoscale ocean and, finally, discuss some diagnostic tools based on a simple statistical mechanics toy-model to be used in numerical simulations and/or observations of quasi-geostrophic flows.
PY 2016
PD MAY
SO Journal Of Physics A-mathematical And Theoretical
SN 1751-8113
PU Iop Publishing Ltd
VL 49
IS 19
UT 000374218900005
DI 10.1088/1751-8113/49/19/194005
ID 71198
ER
EF