Geometric properties of passive random advection
The geometric properties of passive random advection of a second-rank covariant tensor in d-dimensional space are studied by deriving the probability density function (PDF) of the symmetric (metric) tensor. A simple method of transforming the PDF between Eulerian and Lagrangian frames is presented....
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
American Inst of Physics
2000
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| Summary: | The geometric properties of passive random advection of a second-rank covariant tensor in d-dimensional space are studied by deriving the probability density function (PDF) of the symmetric (metric) tensor. A simple method of transforming the PDF between Eulerian and Lagrangian frames is presented. Through this symmetry of the problem that all the moments of passively advected tensors can be calculated. |
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