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Applications of continuation methods in physical oceanography. (English) Zbl 0964.86003

Henry, Daniel (ed.) et al., Continuation methods in fluid dynamics. Contributions to the ERCOFTAC/EUROMECH colloquium 383, Aussois, France, September 6-9, 1998. Braunschweig: Vieweg. Notes Numer. Fluid Mech. 74, 155-166 (2000).
Summary: In this paper, continuation methods are used to study fundamental problems in physical oceanography. Simulating the mean path and variability of the Gulf Stream in the North Atlantic, for example, is a long standing problem in dynamical oceanography. State-of-the-art ocean models still have trouble to simulate the correct mean path, while the physical processes causing the variability of the flow are not yet fully understood. Since changes in the currents can induce significant changes in the poleward heat transport by the oceans, this is an important issue in climate research. Bifurcation analysis in models of intermediate complexity, as used here, shows that there may be two mean paths at the same forcing conditions. By studying the stability of steady circulation patterns in two different ocean models, also transitions to time-dependence are found, which may well be related to observed variability in the Gulf Stream region.
For the entire collection see [Zbl 0949.00036].

MSC:

86A05 Hydrology, hydrography, oceanography
76E20 Stability and instability of geophysical and astrophysical flows
86-08 Computational methods for problems pertaining to geophysics
65P30 Numerical bifurcation problems