Publications


BAROCLINIC INSTABILITY

ANNUAL REVIEW OF FLUID MECHANICS 27 (1995) 419-467

RT PIERREHUMBERT, KL SWANSON


Baroclinic instability

Annual Review of Fluid Mechanics 27 (1995) 419-467

RT Pierrehumbert, KL Swanson


WESTERN BOUNDARY CURRENTS IN THE ATMOSPHERE OF MARS

NATURE 367 (1994) 548-551

MM JOSHI, SR LEWIS, PL READ, DC CATLING


Sloping convection: A paradigm for large-scale waves and eddies in planetary atmospheres?

Chaos 4 (1994) 135-162

R Hide, SR Lewis, PL Read

In laboratory studies and associated theoretical and numerical work covering a very wide range of conditions (as specified by the key dimensionless parameters of the systems used) the phenomenon of sloping convection in rotating fluids can manifest itself in one of several spatial forms (waves, closed eddies, and combinations thereof), but all with strong local gradients (fronts, jet streams) and exhibiting various types of temporal behavior [steady, periodic vacillation, aperiodic (geostrophic) turbulence]. These general properties were first discovered in cylindrical (annular) systems, but they do not depend critically on geometry; differences between spherical and cylindrical systems are largely to be found in quantitative details. In all cases, the raison d'e tre of sloping convection is horizontal advective transfer, a process accompanied by upward advective heat transfer, which affects and may control vertical potential density gradients. It has been argued that sloping convection is the basic dynamical process underlying a wide variety of large-scale flow phenomena seen in planetary atmospheres (e.g., irregular waves in the Earth's atmosphere, regular waves in the Martian atmosphere, the Jovian Great Red Spot and other long-lived eddies seen in the atmospheres of the giant planets). In this review the extent to which this paradigm is upheld in the atmospheres of the major planets by recent work is discussed.


Scaling exponents for turbulence and other random processes and their relationships with multifractal structure.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 50 (1994) 1823-1835

SI Vainshtein, KR Sreenivasan, RT Pierrehumbert, V Kashyap, A Juneja


PRODUCTION OF DRY AIR BY ISENTROPIC MIXING

JOURNAL OF THE ATMOSPHERIC SCIENCES 51 (1994) 3437-3454

H YANG, RT PIERREHUMBERT


SPECTRA OF LOCAL AND NONLOCAL 2-DIMENSIONAL TURBULENCE

CHAOS SOLITONS & FRACTALS 4 (1994) 1111-1116

RT PIERREHUMBERT, IM HELD, KL SWANSON


NONLINEAR-WAVE PACKET EVOLUTION ON A BAROCLINICALLY UNSTABLE JET

JOURNAL OF THE ATMOSPHERIC SCIENCES 51 (1994) 384-396

K SWANSON, RT PIERREHUMBERT


TRACER MICROSTRUCTURE IN THE LARGE-EDDY DOMINATED REGIME

CHAOS SOLITONS & FRACTALS 4 (1994) 1091-1110

RT PIERREHUMBERT


GLOBAL CHAOTIC MIXING ON ISENTROPIC SURFACES

JOURNAL OF THE ATMOSPHERIC SCIENCES 50 (1993) 2462-2480

RT PIERREHUMBERT, H YANG


PHASE PORTRAIT RECONSTRUCTION USING MULTIVARIATE SINGULAR SYSTEMS-ANALYSIS

PHYSICA D 69 (1993) 353-365

PL READ


IS THE MIDLATITUDE ZONAL FLOW ABSOLUTELY UNSTABLE

JOURNAL OF THE ATMOSPHERIC SCIENCES 50 (1993) 505-517

SJ LIN, RT PIERREHUMBERT


Temperature oscillations [6]

Nature 359 (1992) 679-

MR Allen, PL Read, LA Smith


APPLICATIONS OF SINGULAR SYSTEMS-ANALYSIS TO BAROCLINIC CHAOS

PHYSICA D 58 (1992) 455-468

PL READ


TEMPERATURE TIME-SERIES

NATURE 355 (1992) 686-686

MR ALLEN, PL READ, LA SMITH


Spectra of tracer distributions: A geometric approach

in Nonlinear phenomena in atmospheric and oceanic sciences, Springer (1992)
Part of a series from The IMA Volumes in Mathematics and its Applications

RT Pierrehumbert


STEADY-STATE NONLINEAR INTERNAL GRAVITY-WAVE CRITICAL LAYERS SATISFYING AN UPPER RADIATION CONDITION

JOURNAL OF FLUID MECHANICS 238 (1992) 371-404

KG LAMB, RT PIERREHUMBERT


Theoretical Geophysical Fluid Dynamics. By A. S. Monin. Translated From the Russian By R. Hardin. Kluwer Academic Publishers, 1990. Pp. 399. Price £99

Quarterly Journal of the Royal Meteorological Society 118 (1992) 173-173

PL Read


Quasi-periodic and chaotic flow regimes in a thermally driven, rotating fluid annulus

Journal of Fluid Mechanics 238 (1992) 599-632

PL Read, MJ Bell, RM Small

Results are presented from analyses of high-precision time series of measurements of temperature and total heat transport obtained in a high-Prandtl-number (Pr = 26) fluid contained in a rotating, cylindrical annulus subject to a horizontal temperature gradient. Emphasis is placed on regions of parameter space close to the onset of irregular and/or chaotic behaviour. Two distinct transitions from oscillatory to apparently chaotic flow have been identified. The first occurs in an isolated region of parameter space at moderate to high Taylor number in association with a transition to a lower azimuthal wavenumber, in which a quasi-periodic (m = 3) amplitude vacillation (on a 2-torus) gives way to a low-dimensional (D ~ 3) chaotically modulated vacillation at very low frequency (apparently organized about a 3-torus). The spatial structure of the chaotic flow eXhibits the irregular growth and decay of azimuthal sidebands suggestive of a nonlinear competition between adjacent azimuthal wavenumbers. The other main transition to aperiodic flow occurs at high Taylor number as the stability parameter & is decreased, and is associated with the onset of ‘structural vacillationThis transition appears to be associated with the development of small-scale instabilities within the main m — 3 baroclinic wave pattern, and eXhibits a route to chaos via intermittency. The nature of the apparent chaos in these two aperiodic regimes is discussed in relation to possible mechanisms for deterministic chaos, apparatus limitations, and to previous attempts to model nonlinear baroclinic waves using low-order spectral models. © 1992, Cambridge University Press. All rights reserved.


CHAOTIC MIXING OF TRACER AND VORTICITY BY MODULATED TRAVELING ROSSBY WAVES

GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS 58 (1991) 285-&

RT PIERREHUMBERT

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