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A simple stochastic model for the onset of turbulence in Rayleigh-Bénard convection

Publication ,  Journal Article
Greenside, HS; Ahlers, G; Hohenberg, PC; Walden, RW
Published in: Physica D: Nonlinear Phenomena
January 1, 1982

A simple stochastic model of a particle diffusing randomly in an external two-well potential is proposed to stimulate the onset of turbulence in a medium aspect ratio cylindrical Rayleigh-Bénard cell. The model is studied numerically and both time series and their power spectra are obtained. The results are compared with experimental data as well as with the results of deterministic models consisting of a finite number of interacting modes. © 1982.

Duke Scholars

Published In

Physica D: Nonlinear Phenomena

DOI

ISSN

0167-2789

Publication Date

January 1, 1982

Volume

5

Issue

2-3

Start / End Page

322 / 334

Related Subject Headings

  • Fluids & Plasmas
  • 0102 Applied Mathematics
 

Citation

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Greenside, H. S., Ahlers, G., Hohenberg, P. C., & Walden, R. W. (1982). A simple stochastic model for the onset of turbulence in Rayleigh-Bénard convection. Physica D: Nonlinear Phenomena, 5(2–3), 322–334. https://doi.org/10.1016/0167-2789(82)90026-4
Greenside, H. S., G. Ahlers, P. C. Hohenberg, and R. W. Walden. “A simple stochastic model for the onset of turbulence in Rayleigh-Bénard convection.” Physica D: Nonlinear Phenomena 5, no. 2–3 (January 1, 1982): 322–34. https://doi.org/10.1016/0167-2789(82)90026-4.
Greenside HS, Ahlers G, Hohenberg PC, Walden RW. A simple stochastic model for the onset of turbulence in Rayleigh-Bénard convection. Physica D: Nonlinear Phenomena. 1982 Jan 1;5(2–3):322–34.
Greenside, H. S., et al. “A simple stochastic model for the onset of turbulence in Rayleigh-Bénard convection.” Physica D: Nonlinear Phenomena, vol. 5, no. 2–3, Jan. 1982, pp. 322–34. Scopus, doi:10.1016/0167-2789(82)90026-4.
Greenside HS, Ahlers G, Hohenberg PC, Walden RW. A simple stochastic model for the onset of turbulence in Rayleigh-Bénard convection. Physica D: Nonlinear Phenomena. 1982 Jan 1;5(2–3):322–334.
Journal cover image

Published In

Physica D: Nonlinear Phenomena

DOI

ISSN

0167-2789

Publication Date

January 1, 1982

Volume

5

Issue

2-3

Start / End Page

322 / 334

Related Subject Headings

  • Fluids & Plasmas
  • 0102 Applied Mathematics