Dynamic mean flow and small-scale interaction through topographic stress

M. J. Grote, A. J. Majda, C. Grotta Ragazzo

Research output: Contribution to journalArticle

Abstract

The equations describing the mean flow and small-scale interaction of a barotropic flow via topographic stress with layered topography are studied here through the interplay of theory and numerical experiments. Both a viewpoint toward atmosphere-ocean science and one toward chaotic nonlinear dynamics are emphasized. As regards atmosphere-ocean science, we produce prototype topographic blocking patterns without damping or driving, with topographic stress as the only transfer mechanism; these patterns and their chaos bear some qualitative resemblance to those observed in recent laboratory experiments on topographic blocking. As regards nonlinear dynamics, it is established that the equations for mean flow and small-scale interaction with layered anisotropic topography form a novel Hamiltonian system with rich regimes of intrinsic conservative chaos, which include both global and weak homoclinic stochasticity, as well as other regimes with complete integrability involving complex heteroclinic structure.

Original languageEnglish (US)
Pages (from-to)89-130
Number of pages42
JournalJournal of Nonlinear Science
Volume9
Issue number1
StatePublished - Jan 1999

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Chaos theory
Topography
chaos
topography
oceans
barotropic flow
atmospheres
Hamiltonians
Ocean
Nonlinear Dynamics
Atmosphere
Chaos
bears
Interaction
Complete Integrability
Stochasticity
Damping
damping
Experiments
Homoclinic

Keywords

  • Beta-plane
  • Geographical fluid dynamics
  • Hamiltonian dynamics
  • Homoclinic stochasticity
  • Topographic blocking
  • Topographic stress
  • Topography
  • Whiskered tori

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mathematics(all)
  • Applied Mathematics
  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Dynamic mean flow and small-scale interaction through topographic stress. / Grote, M. J.; Majda, A. J.; Ragazzo, C. Grotta.

In: Journal of Nonlinear Science, Vol. 9, No. 1, 01.1999, p. 89-130.

Research output: Contribution to journalArticle

Grote, M. J. ; Majda, A. J. ; Ragazzo, C. Grotta. / Dynamic mean flow and small-scale interaction through topographic stress. In: Journal of Nonlinear Science. 1999 ; Vol. 9, No. 1. pp. 89-130.
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