On how a joint interaction of two innocent partners (smooth advection and linear damping) produces a strong intermittency

M. Chertkov

doi:10.1063/1.869826

On how a joint interaction of two innocent partners (smooth advection and linear damping) produces a strong intermittency

M. Chertkov

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

32 Scopus citations

Abstract

Forced advection of passive scalar by a smooth d-dimensional incompressible velocity in the presence of linear damping is studied. Acting separately advection and damping do not lead to an essential intermittency of the steady scalar statistics, while being mixed together produce a very strong non-Gaussianity in the convective range: 2n-th moment of scalar difference, 〈[θ(t;r) -θ(t;0)]²ⁿ〉 is proportional to r^ξ2n, ξ_2n = min{2n,√d²/4 + 2αdn/ (d - 1)D] - d/2}, where α/D measures the rate of the damping in the units of the stretching rate. The probability density function (PDF) of the scalar difference is also found.

Original language	English (US)
Pages (from-to)	3017-3019
Number of pages	3
Journal	Physics of Fluids
Volume	10
Issue number	11
DOIs	https://doi.org/10.1063/1.869826
State	Published - 1998
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.869826

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abstract = "Forced advection of passive scalar by a smooth d-dimensional incompressible velocity in the presence of linear damping is studied. Acting separately advection and damping do not lead to an essential intermittency of the steady scalar statistics, while being mixed together produce a very strong non-Gaussianity in the convective range: 2n-th moment of scalar difference, 〈[θ(t;r) -θ(t;0)]2n〉 is proportional to rξ2n, ξ2n = min{2n,√d2/4 + 2αdn/ (d - 1)D] - d/2}, where α/D measures the rate of the damping in the units of the stretching rate. The probability density function (PDF) of the scalar difference is also found.",

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AU - Chertkov, M.

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N2 - Forced advection of passive scalar by a smooth d-dimensional incompressible velocity in the presence of linear damping is studied. Acting separately advection and damping do not lead to an essential intermittency of the steady scalar statistics, while being mixed together produce a very strong non-Gaussianity in the convective range: 2n-th moment of scalar difference, 〈[θ(t;r) -θ(t;0)]2n〉 is proportional to rξ2n, ξ2n = min{2n,√d2/4 + 2αdn/ (d - 1)D] - d/2}, where α/D measures the rate of the damping in the units of the stretching rate. The probability density function (PDF) of the scalar difference is also found.

AB - Forced advection of passive scalar by a smooth d-dimensional incompressible velocity in the presence of linear damping is studied. Acting separately advection and damping do not lead to an essential intermittency of the steady scalar statistics, while being mixed together produce a very strong non-Gaussianity in the convective range: 2n-th moment of scalar difference, 〈[θ(t;r) -θ(t;0)]2n〉 is proportional to rξ2n, ξ2n = min{2n,√d2/4 + 2αdn/ (d - 1)D] - d/2}, where α/D measures the rate of the damping in the units of the stretching rate. The probability density function (PDF) of the scalar difference is also found.

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On how a joint interaction of two innocent partners (smooth advection and linear damping) produces a strong intermittency

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