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| Homogenization Theory for a Replenishing Passive Scalar Field |
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Citation： |
Peter R. KRAMER,Shane R. KEATING.Homogenization Theory for a Replenishing Passive Scalar Field[J].Chinese Annals of Mathematics B,2009,30(5):631~644 |
| Page view： 1682
Net amount： 1060 |
Authors： |
Peter R. KRAMER; Shane R. KEATING; |
Foundation： |
the National Science Foundation “Collaborations in Mathematical Geosciences” (No.
OCE-0620956). |
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| Abstract： |
Homogenization theory provides a rigorous framework for calculating the effec-
tive diffusivity of a decaying passive scalar field in a turbulent or complex flow. The authors
extend this framework to the case where the passive scalar fluctuations are continuously
replenished by a source (and/or sink). The basic structure of the homogenized equations
carries over, but in some cases the homogenized source can involve a non-trivial coupling
of the velocity field and the source. The authors derive expressions for the homogenized
source term for various multiscale source structures and interpret them physically. |
Keywords： |
Homogenization, Turbulent transport, Source, Pumping |
Classification： |
35B27 |
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