Cascade model of fully developed turbulence |
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| Authors: | Robert M. Kerr Eric D. Siggia |
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| Affiliation: | (1) Present address: Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York;(2) Laboratory of Atomic and Solid State Physics and Laboratory of Nuclear Studies, Cornell University, Ithaca, New York;(3) National Center for Atmospheric Research, Boulder, Colorado |
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| Abstract: | A simple system of quadratically nonlinear equations representing a hierarchy of frequency scales is derived from a cutoff version of Burgers' equation. When forced, the model system reproduces a number of qualitative features of fully developed turbulence. In equilibrium, the model exhibits, in addition to the energy, an extensive isolating integral of the motion that is cubic in the velocity.This work was aided by a direct grant of computer time from NCAR. This work was in part supported by the National Science Foundation under Grant No. ENG 7408501A02. |
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| Keywords: | Intermittency fully developed turbulence cascade model Burgers' equation. |
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