Turbulence and the dynamics of coherent structures. III. Dynamics and scaling
Author:
Lawrence Sirovich
Journal:
Quart. Appl. Math. 45 (1987), 583-590
MSC:
Primary 76F99; Secondary 58F13
DOI:
https://doi.org/10.1090/qam/910464
MathSciNet review:
910464
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Additional Information
- Lawrence Sirovich, Turbulence and the dynamics of coherent structures. I. Coherent structures, Quart. Appl. Math. 45 (1987), no. 3, 561–571. MR 910462, DOI https://doi.org/10.1090/S0033-569X-1987-0910462-6
- Lawrence Sirovich, Turbulence and the dynamics of coherent structures. I. Coherent structures, Quart. Appl. Math. 45 (1987), no. 3, 561–571. MR 910462, DOI https://doi.org/10.1090/S0033-569X-1987-0910462-6
- L. Sirovich and J. D. Rodriguez, Coherent structures and chaos: a model problem, Phys. Lett. A 120 (1987), no. 5, 211–214. MR 879949, DOI https://doi.org/10.1016/0375-9601%2887%2990209-X
A. Leonard and A. Wray, A new numerical method for simulation of three dimensional flow in a pipe, in Proc. 8th Int’l Conf. on Num. Meth. in Fluid Dyn., Aachen, 335–342, Springer-Verlag, New York, 1982.
N. MacG Mhuiris, Calculation of the stability of some axisymmetric flows proposed as a model of vortex breakdown, Appl. Num. Math. 2, 273–290 (1986)
William S. Saric, Victor Kozlov, and Victor Ya. Levchenko, Forced and unforced subharmonic resonance in boundary-layer transition, AIAA-84-0007 (Jan. 1984)
C. R. Smith, A synthesized model of the near-wall behavior in turbulent boundary layers, Proceedings of Eighth Symposium on Turbulence, X. B. Reed, Jr., G. K. Patterson and J. L. Zakin, eds., Univ. of Missouri-Rolla, pp. 299–327 (1984)
P. Moin and J. Kim, Numerical investigation of turbulent channel flow, J. Fluid Mech. 118, 341–377 (1982)
- R. D. Moser, P. Moin, and A. Leonard, A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couette flow, J. Comput. Phys. 52 (1983), no. 3, 524–544. MR 727383, DOI https://doi.org/10.1016/0021-9991%2883%2990006-2
- L. D. Landau and E. M. Lifshitz, Course of theoretical physics. Vol. 6, 2nd ed., Pergamon Press, Oxford, 1987. Fluid mechanics; Translated from the third Russian edition by J. B. Sykes and W. H. Reid. MR 961259
N. Aubry, P. Holmes, J. L. Lumley, E. Stone, The Dynamics of Coherent Structures in the Wall Region of a Turbulent Boundary Layer, Cornell Univ. Report (Oct. 1986)
L. Sirovich, Turbulence and the dynamics of coherent structures, Pt. I. Coherent structures, Quart. Appl. Math. 45, 561–571 (1987)
L. Sirovich, Turbulence and the dynamics of coherent structures, Pt II. Symmetries and transformations, Quart. Appl. Math. 45, 573–582 (1987)
L. Sirovich and J. Rodriguez, Coherent structures and chaos: A model problem, Physics Letters A 120, 211 (1987)
A. Leonard and A. Wray, A new numerical method for simulation of three dimensional flow in a pipe, in Proc. 8th Int’l Conf. on Num. Meth. in Fluid Dyn., Aachen, 335–342, Springer-Verlag, New York, 1982.
N. MacG Mhuiris, Calculation of the stability of some axisymmetric flows proposed as a model of vortex breakdown, Appl. Num. Math. 2, 273–290 (1986)
William S. Saric, Victor Kozlov, and Victor Ya. Levchenko, Forced and unforced subharmonic resonance in boundary-layer transition, AIAA-84-0007 (Jan. 1984)
C. R. Smith, A synthesized model of the near-wall behavior in turbulent boundary layers, Proceedings of Eighth Symposium on Turbulence, X. B. Reed, Jr., G. K. Patterson and J. L. Zakin, eds., Univ. of Missouri-Rolla, pp. 299–327 (1984)
P. Moin and J. Kim, Numerical investigation of turbulent channel flow, J. Fluid Mech. 118, 341–377 (1982)
R. D. Moser, P. Moin, and A. Leonard, A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couetteflow, J. Comput. Phys. 52, no. 3, 524–544 (Dec. 1983)
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, vol. 6, Fluid Mechanics, Pergamon Press,
N. Aubry, P. Holmes, J. L. Lumley, E. Stone, The Dynamics of Coherent Structures in the Wall Region of a Turbulent Boundary Layer, Cornell Univ. Report (Oct. 1986)
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Article copyright:
© Copyright 1987
American Mathematical Society