Improved Rigorous Upper Bounds for Transport Due to Passive Advection Described by Simple Models of Bounded Systems

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Download or read book Improved Rigorous Upper Bounds for Transport Due to Passive Advection Described by Simple Models of Bounded Systems written by and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of Krommes and Smith on rigorous upper bounds for the turbulent transport of a passively advected scalar (/ital Ann. Phys./ 177:246 (1987)) is extended in two directions: (1) For their ''reference model, '' improved upper bounds are obtained by utilizing more sophisticated two-time constraints which include the effects of cross-correlations up to fourth order. Numerical solutions of the model stochastic differential equation are also obtained; they show that the new bounds compare quite favorably with the exact results, even at large Reynolds and Kubo numbers. (2) The theory is extended to take account of a finite spatial autocorrelation length L/sub c/. As a reasonably generic example, the problem of particle transport due to statistically specified stochastic magnetic fields in a collisionless turbulent plasma is revisited. A bound is obtained which reduces for small L/sub c/ to the quasilinear limit and for large L/sub c/ to the strong turbulence limit, and which provides a reasonable and rigorous interpolation for intermediate values of L/sub c/. 18 refs., 6 figs.

Improved Rigorous Upper Bounds for Transport Due to Passive Advection Described by Simple Models of Bounded Systems

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Total Pages : 36 pages
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Book Synopsis Improved Rigorous Upper Bounds for Transport Due to Passive Advection Described by Simple Models of Bounded Systems by : Chang-Bae Kim

Download or read book Improved Rigorous Upper Bounds for Transport Due to Passive Advection Described by Simple Models of Bounded Systems written by Chang-Bae Kim and published by . This book was released on 1988 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Energy Research Abstracts

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Rigorous Upper Bounds for Turbulent Transport in Bounded Systems--passive Advection and Reversed-field Pinches

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Total Pages : 258 pages
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Book Synopsis Rigorous Upper Bounds for Turbulent Transport in Bounded Systems--passive Advection and Reversed-field Pinches by : Chang-Bae Kim

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Mathematical Reviews

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Government Reports Announcements & Index

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Environmental Toxicology and Chemistry

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Numerical Methods for Fluid Dynamics

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Transverse Dispersion in Liquid Flow Through Porous Media

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Index to Theses with Abstracts Accepted for Higher Degrees by the Universities of Great Britain and Ireland and the Council for National Academic Awards

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Boundary Control of PDEs

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Numerical Methods for Wave Equations in Geophysical Fluid Dynamics

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Book Synopsis Numerical Methods for Wave Equations in Geophysical Fluid Dynamics by : Dale R. Durran

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Flowing Matter

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ISBN 13 : 3030233707
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