ISSN 2070-7401 (Print), ISSN 2411-0280 (Online)
Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa


Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2021, Vol. 18, No. 5, pp. 242-251

Application of the vortex layer problem to the Gulf Stream area

N.V. Sandalyuk 1 , V.G. Gnevyshev 2 , T.V. Belonenko 1 , Vladimirovich Kochnev 3 
1 Saint Petersburg State University, Saint Petersburg, Russia
2 Shirshov Institute of Oceanology RAS, Moscow, Russia
3 Northern (Arctic) Federal University named after M.V. Lomonosov, Arkhangelsk, Russia
Accepted: 14.10.2021
DOI: 10.21046/2070-7401-2021-18-5-242-251
In this paper, the main statements of the problem of a non-zonal vortex layer on the β-plane in the Miles – Ribner formulation are applied to observations in the real ocean. Earlier, we showed that when waves interact with a non-zonal flow, a new class of solutions appears, which is absent in the case of a zonal flow. This new class of solutions can be interpreted as pure radiation of Rossby waves by a non-zonal flow. The analysis of the space-time diagrams in the region under consideration confirms the previously obtained theoretical conclusions of the problem of the interaction of planetary waves with a non-zonal flow on the β-plane in the Miles – Ribner formulation. Incident, reflected and refracted waves are distinguished. It is shown that Rossby waves propagating from east to west at a speed of 7.6 cm/s are transformed into refracted and reflected waves when interacting with the current. The refracted waves propagate against the current, to the southwest, at a speed of 4.6 cm/s. The reflected waves propagate to the southeast, perpendicular to the current, at a speed of 7.8 cm/s. The speed of reflected waves exceeds the speed of incident waves, which confirms the conclusions about the existence of mechanisms for amplifying planetary waves when they interact with a non-zonal flow.
Keywords: Rossby waves, flow, WKB approximation, Gulf Stream, vortex layer, altimetry, incident, reflected, refracted wave
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