Role of initial conditions in establishing asymptotic flow behavior

William K. George; Lars Davidson

doi:10.2514/6.2003-64

Role of initial conditions in establishing asymptotic flow behavior

William K. George
, Lars Davidson

Department of Mechanical and Aerospace Engineering

Chalmers University of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

The role of the details of initial (or upstream) conditions in establishing asymptotic behavior is reviewed. The traditional view that at least simple shear flows reach universal asymptotic states is shown to be inconsistent with the abundant experimental and DNS data. Even though scaled mean velocity profiles collapse, the streamwise (or temporal) variation of the scaling parameters and spreading rates can vary widely for different upstream (or initial) conditions. Equilibrium similarity theory shows why the traditional view has arisen: normalized mean velocity profiles can be universal, even though the other moment profiles and scaling parameters are not. Decaying isotropic turbulence and applications of the POD to free shear flows are used to show what parameters might control the downstream development. It is argued that RANS cannot account for these dependencies, but LES can.

Original language	English
Title of host publication	41st Aerospace Sciences Meeting and Exhibit
Publisher	American Institute of Aeronautics and Astronautics Inc.
ISBN (Print)	9781624100994
DOIs	https://doi.org/10.2514/6.2003-64
State	Published - 2003
Event	41st Aerospace Sciences Meeting and Exhibit 2003 - Reno, NV, United States Duration: Jan 6 2003 → Jan 9 2003

Publication series

Name	41st Aerospace Sciences Meeting and Exhibit

Conference

Conference	41st Aerospace Sciences Meeting and Exhibit 2003
Country/Territory	United States
City	Reno, NV
Period	01/6/03 → 01/9/03

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10.2514/6.2003-64

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@inproceedings{e743ef5cf2a24850bf881a899e6c8160,

title = "Role of initial conditions in establishing asymptotic flow behavior",

abstract = "The role of the details of initial (or upstream) conditions in establishing asymptotic behavior is reviewed. The traditional view that at least simple shear flows reach universal asymptotic states is shown to be inconsistent with the abundant experimental and DNS data. Even though scaled mean velocity profiles collapse, the streamwise (or temporal) variation of the scaling parameters and spreading rates can vary widely for different upstream (or initial) conditions. Equilibrium similarity theory shows why the traditional view has arisen: normalized mean velocity profiles can be universal, even though the other moment profiles and scaling parameters are not. Decaying isotropic turbulence and applications of the POD to free shear flows are used to show what parameters might control the downstream development. It is argued that RANS cannot account for these dependencies, but LES can.",

author = "George, \{William K.\} and Lars Davidson",

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language = "English",

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series = "41st Aerospace Sciences Meeting and Exhibit",

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T1 - Role of initial conditions in establishing asymptotic flow behavior

AU - George, William K.

AU - Davidson, Lars

PY - 2003

Y1 - 2003

N2 - The role of the details of initial (or upstream) conditions in establishing asymptotic behavior is reviewed. The traditional view that at least simple shear flows reach universal asymptotic states is shown to be inconsistent with the abundant experimental and DNS data. Even though scaled mean velocity profiles collapse, the streamwise (or temporal) variation of the scaling parameters and spreading rates can vary widely for different upstream (or initial) conditions. Equilibrium similarity theory shows why the traditional view has arisen: normalized mean velocity profiles can be universal, even though the other moment profiles and scaling parameters are not. Decaying isotropic turbulence and applications of the POD to free shear flows are used to show what parameters might control the downstream development. It is argued that RANS cannot account for these dependencies, but LES can.

AB - The role of the details of initial (or upstream) conditions in establishing asymptotic behavior is reviewed. The traditional view that at least simple shear flows reach universal asymptotic states is shown to be inconsistent with the abundant experimental and DNS data. Even though scaled mean velocity profiles collapse, the streamwise (or temporal) variation of the scaling parameters and spreading rates can vary widely for different upstream (or initial) conditions. Equilibrium similarity theory shows why the traditional view has arisen: normalized mean velocity profiles can be universal, even though the other moment profiles and scaling parameters are not. Decaying isotropic turbulence and applications of the POD to free shear flows are used to show what parameters might control the downstream development. It is argued that RANS cannot account for these dependencies, but LES can.

UR - https://www.scopus.com/pages/publications/85088185984

U2 - 10.2514/6.2003-64

DO - 10.2514/6.2003-64

M3 - Conference contribution

AN - SCOPUS:85088185984

SN - 9781624100994

T3 - 41st Aerospace Sciences Meeting and Exhibit

BT - 41st Aerospace Sciences Meeting and Exhibit

PB - American Institute of Aeronautics and Astronautics Inc.

T2 - 41st Aerospace Sciences Meeting and Exhibit 2003

Y2 - 6 January 2003 through 9 January 2003

ER -

Role of initial conditions in establishing asymptotic flow behavior

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