Observations regarding "coherence and chaos in a model of turbulent boundary layer" by X. Zhou and L. Sirovich [Phys. Fluids A 4, 2855 (1992)]

G. Berkooz; P. Holmes; J. L. Lumley; N. Aubry; E. Stone

doi:10.1063/1.868270

Observations regarding "coherence and chaos in a model of turbulent boundary layer" by X. Zhou and L. Sirovich [Phys. Fluids A 4, 2855 (1992)]

G. Berkooz, P. Holmes, J. L. Lumley, N. Aubry, E. Stone

Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

In the following, the present authors comment on a paper by Zhou and Sirovich (ZS) [Phys. Fluids A 4, 2855 (1992)] which contained a critical appraisal of the models developed by Aubry et al. (AHLS) [J. Fluid Mech. 192, 115 (1988)]. It is found that ZS's suggestion to use "a full channel interpretation of wall eigenfunctions," thereby avoiding boundary terms, while attractive mathematically, is questionable in fluid mechanical terms. A major point of AHLS's study was precisely to isolate the wall region and use the boundary terms to investigate the interaction with the outer flow. Also, it is demonstrated that certain instances of "irregular" bursting, as reported by ZS, are probably numerical effects.

Original language	English
Pages (from-to)	1574-1578
Number of pages	5
Journal	Physics of Fluids
Volume	6
Issue number	4
DOIs	https://doi.org/10.1063/1.868270
State	Published - 1994

Access to Document

10.1063/1.868270

Cite this

@article{b804f1d10e8646958bbbd94540fd032e,

title = "Observations regarding {"}coherence and chaos in a model of turbulent boundary layer{"} by X. Zhou and L. Sirovich [Phys. Fluids A 4, 2855 (1992)]",

abstract = "In the following, the present authors comment on a paper by Zhou and Sirovich (ZS) [Phys. Fluids A 4, 2855 (1992)] which contained a critical appraisal of the models developed by Aubry et al. (AHLS) [J. Fluid Mech. 192, 115 (1988)]. It is found that ZS's suggestion to use {"}a full channel interpretation of wall eigenfunctions,{"} thereby avoiding boundary terms, while attractive mathematically, is questionable in fluid mechanical terms. A major point of AHLS's study was precisely to isolate the wall region and use the boundary terms to investigate the interaction with the outer flow. Also, it is demonstrated that certain instances of {"}irregular{"} bursting, as reported by ZS, are probably numerical effects.",

author = "G. Berkooz and P. Holmes and Lumley, {J. L.} and N. Aubry and E. Stone",

year = "1994",

doi = "10.1063/1.868270",

language = "English",

volume = "6",

pages = "1574--1578",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics",

number = "4",

}

TY - JOUR

T1 - Observations regarding "coherence and chaos in a model of turbulent boundary layer" by X. Zhou and L. Sirovich [Phys. Fluids A 4, 2855 (1992)]

AU - Berkooz, G.

AU - Holmes, P.

AU - Lumley, J. L.

AU - Aubry, N.

AU - Stone, E.

PY - 1994

Y1 - 1994

N2 - In the following, the present authors comment on a paper by Zhou and Sirovich (ZS) [Phys. Fluids A 4, 2855 (1992)] which contained a critical appraisal of the models developed by Aubry et al. (AHLS) [J. Fluid Mech. 192, 115 (1988)]. It is found that ZS's suggestion to use "a full channel interpretation of wall eigenfunctions," thereby avoiding boundary terms, while attractive mathematically, is questionable in fluid mechanical terms. A major point of AHLS's study was precisely to isolate the wall region and use the boundary terms to investigate the interaction with the outer flow. Also, it is demonstrated that certain instances of "irregular" bursting, as reported by ZS, are probably numerical effects.

AB - In the following, the present authors comment on a paper by Zhou and Sirovich (ZS) [Phys. Fluids A 4, 2855 (1992)] which contained a critical appraisal of the models developed by Aubry et al. (AHLS) [J. Fluid Mech. 192, 115 (1988)]. It is found that ZS's suggestion to use "a full channel interpretation of wall eigenfunctions," thereby avoiding boundary terms, while attractive mathematically, is questionable in fluid mechanical terms. A major point of AHLS's study was precisely to isolate the wall region and use the boundary terms to investigate the interaction with the outer flow. Also, it is demonstrated that certain instances of "irregular" bursting, as reported by ZS, are probably numerical effects.

UR - http://www.scopus.com/inward/record.url?scp=0000132404&partnerID=8YFLogxK

U2 - 10.1063/1.868270

DO - 10.1063/1.868270

M3 - Article

AN - SCOPUS:0000132404

SN - 1070-6631

VL - 6

SP - 1574

EP - 1578

JO - Physics of Fluids

JF - Physics of Fluids

IS - 4

ER -

Observations regarding "coherence and chaos in a model of turbulent boundary layer" by X. Zhou and L. Sirovich [Phys. Fluids A 4, 2855 (1992)]

Abstract

Access to Document

Other files and links

Fingerprint

Cite this