TOPOLOGICAL PHASE TRANSITIONS IV: DYNAMIC THEORY OF BOUNDARY-LAYER SEPARATIONS

We present in this paper a systematic dynamic theory for boundary-layer separations of fluid flows and its applications to large scale ocean circulations, based on the geometric theory of incompressible flows developed by the authors. First, we derive the separation equations, which provide necessar...

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Bibliographic Details
Main Authors: Ma, Tian, Wang, Shouhong
Other Authors: Sichuan University Chengdu (SCU), Indiana University Bloomington, Indiana University System
Format: Report
Language:English
Published: HAL CCSD 2017
Subjects:
[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
Boundary Point
North Atlantic
Online Access:https://hal.archives-ouvertes.fr/hal-01672759
https://hal.archives-ouvertes.fr/hal-01672759/document
https://hal.archives-ouvertes.fr/hal-01672759/file/tpt4.pdf
Description
Summary:We present in this paper a systematic dynamic theory for boundary-layer separations of fluid flows and its applications to large scale ocean circulations, based on the geometric theory of incompressible flows developed by the authors. First, we derive the separation equations, which provide necessary and sufficient conditions for the flow separation at a boundary point. Second, these separation equations are then further converted to predicable conditions, which can be used to determine precisely when, where, and how a boundary-layer separation occurs. Third, we derive conditions for the formation of vortices from boundary tip points, and conditions for the formation of surface turbulence. Fourth, we derive the mechanism of the formation of the subpolar gyre and the formation of the small scale wind-driven vortex oceanic flows, in the north Atlantic ocean.

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