Strong particle dispersion by weakly dissipative random internal waves

Oliver Bühler; Nicolas Grisouard; Miranda Holmes-Cerfon

doi:10.1017/jfm.2013.71

Strong particle dispersion by weakly dissipative random internal waves

Oliver Bühler, Nicolas Grisouard, Miranda Holmes-Cerfon

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Simple stochastic models and direct nonlinear numerical simulations of three-dimensional internal waves are combined in order to understand the strong horizontal particle dispersion at second-order in wave amplitude that arises when small-amplitude internal waves are exposed to weak dissipation. This is contrasted with the well-known results for perfectly inviscid internal waves, in which such dispersion arises only at fourth-order in wave amplitude.

Original language	English (US)
Pages (from-to)	R4
Journal	Journal of Fluid Mechanics
Volume	719
DOIs	https://doi.org/10.1017/jfm.2013.71
State	Published - 2013

Keywords

Dispersion
Geological flows
Geophysical
Mixing
Waves in rotating fluids

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1017/jfm.2013.71

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title = "Strong particle dispersion by weakly dissipative random internal waves",

abstract = "Simple stochastic models and direct nonlinear numerical simulations of three-dimensional internal waves are combined in order to understand the strong horizontal particle dispersion at second-order in wave amplitude that arises when small-amplitude internal waves are exposed to weak dissipation. This is contrasted with the well-known results for perfectly inviscid internal waves, in which such dispersion arises only at fourth-order in wave amplitude.",

keywords = "Dispersion, Geological flows, Geophysical, Mixing, Waves in rotating fluids",

author = "Oliver B{\"u}hler and Nicolas Grisouard and Miranda Holmes-Cerfon",

note = "Funding Information: We thank K. Winters for his kind assistance with the numerical model. Financial support for O.B. and N.G. under the United States National Science Foundation grants DMS-1009213 and OCE-1024180 is gratefully acknowledged. Publisher Copyright: {\textcopyright} 2013 Cambridge University Press.All Rights Reserved.",

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AU - Bühler, Oliver

AU - Grisouard, Nicolas

AU - Holmes-Cerfon, Miranda

N1 - Funding Information: We thank K. Winters for his kind assistance with the numerical model. Financial support for O.B. and N.G. under the United States National Science Foundation grants DMS-1009213 and OCE-1024180 is gratefully acknowledged. Publisher Copyright: © 2013 Cambridge University Press.All Rights Reserved.

PY - 2013

Y1 - 2013

N2 - Simple stochastic models and direct nonlinear numerical simulations of three-dimensional internal waves are combined in order to understand the strong horizontal particle dispersion at second-order in wave amplitude that arises when small-amplitude internal waves are exposed to weak dissipation. This is contrasted with the well-known results for perfectly inviscid internal waves, in which such dispersion arises only at fourth-order in wave amplitude.

AB - Simple stochastic models and direct nonlinear numerical simulations of three-dimensional internal waves are combined in order to understand the strong horizontal particle dispersion at second-order in wave amplitude that arises when small-amplitude internal waves are exposed to weak dissipation. This is contrasted with the well-known results for perfectly inviscid internal waves, in which such dispersion arises only at fourth-order in wave amplitude.

KW - Dispersion

KW - Geological flows

KW - Geophysical

KW - Mixing

KW - Waves in rotating fluids

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JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

ER -

Strong particle dispersion by weakly dissipative random internal waves

Abstract

Keywords

ASJC Scopus subject areas

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