Local stretching maps: an application to an advection problem for arbitrary velocity field (Q2755177)
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scientific article; zbMATH DE number 1669690
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local stretching maps: an application to an advection problem for arbitrary velocity field |
scientific article; zbMATH DE number 1669690 |
Statements
8 November 2001
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chaotic dynamics
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stirring
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0.8569082
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0.85119987
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0.84779257
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0.8474318
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0.84729797
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0.84705627
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0.8443564
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0.8442503
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0.84422565
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Local stretching maps: an application to an advection problem for arbitrary velocity field (English)
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The local stirring properties of a passive fluid domain with arbitrary boundaries and with known velocity field are discussed. Analytical solution for local stretching permits to determine an exponential coefficient that describes stretching of the domain and is analogous to the largest Lyapunov exponent used in chaotic dynamics. This coefficient exists in all solutions; it does not depend on the shape of the contour, and is determined by the gradients of velocity field components only. Another local mechanism of stirring is determined by integral characteristics of the flow and by the shape of contour. Construction of maps for local stretching values in fixed moments allows to analyze the evolution of regions in which an intensive stirring takes place.
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