Modeling passive scalar dynamics in wall-bounded turbulence using resolvent analysis

Scott T.M. Dawson, Beverley J. McKeon, Theresa Ann Saxton-Fox

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This work develops a framework for studying the behavior of a passive scalar field in incompressible wall-bounded turbulence using the resolvent operator. This approach expresses the state of the system as the result of applying a linear (resolvent) operator to the nonlinear terms in the governing Navier-Stokes equations. By augmenting the system with a passive scalar equation, this formulation is used to study the relationship between velocity and scalar fluctuations. Additional insight into the mechanisms responsible for driving scalar fluctuations is attained by considering the resolvent form of the passive scalar equation in isolation from the momentum equations. We demonstrate that the passive scalar resolvent operator admits rescaling properties that relates the behavior of scalar fields with different diffusivities, and investigate the ability of this modeling framework to predict statistical properties of the fluctuating scalar field.

Original languageEnglish (US)
Title of host publication2018 Fluid Dynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105531
DOIs
StatePublished - Jan 1 2018
Externally publishedYes
Event48th AIAA Fluid Dynamics Conference, 2018 - Atlanta, United States
Duration: Jun 25 2018Jun 29 2018

Publication series

Name2018 Fluid Dynamics Conference

Other

Other48th AIAA Fluid Dynamics Conference, 2018
CountryUnited States
CityAtlanta
Period6/25/186/29/18

Fingerprint

Navier Stokes equations
Momentum
Turbulence

ASJC Scopus subject areas

  • Aerospace Engineering
  • Engineering (miscellaneous)

Cite this

Dawson, S. T. M., McKeon, B. J., & Saxton-Fox, T. A. (2018). Modeling passive scalar dynamics in wall-bounded turbulence using resolvent analysis. In 2018 Fluid Dynamics Conference [AIAA 2018-4042] (2018 Fluid Dynamics Conference). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2018-4042

Modeling passive scalar dynamics in wall-bounded turbulence using resolvent analysis. / Dawson, Scott T.M.; McKeon, Beverley J.; Saxton-Fox, Theresa Ann.

2018 Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018. AIAA 2018-4042 (2018 Fluid Dynamics Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Dawson, STM, McKeon, BJ & Saxton-Fox, TA 2018, Modeling passive scalar dynamics in wall-bounded turbulence using resolvent analysis. in 2018 Fluid Dynamics Conference., AIAA 2018-4042, 2018 Fluid Dynamics Conference, American Institute of Aeronautics and Astronautics Inc, AIAA, 48th AIAA Fluid Dynamics Conference, 2018, Atlanta, United States, 6/25/18. https://doi.org/10.2514/6.2018-4042
Dawson STM, McKeon BJ, Saxton-Fox TA. Modeling passive scalar dynamics in wall-bounded turbulence using resolvent analysis. In 2018 Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA. 2018. AIAA 2018-4042. (2018 Fluid Dynamics Conference). https://doi.org/10.2514/6.2018-4042
Dawson, Scott T.M. ; McKeon, Beverley J. ; Saxton-Fox, Theresa Ann. / Modeling passive scalar dynamics in wall-bounded turbulence using resolvent analysis. 2018 Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018. (2018 Fluid Dynamics Conference).
@inproceedings{a23c045a2316466786a6f202ef1071e2,
title = "Modeling passive scalar dynamics in wall-bounded turbulence using resolvent analysis",
abstract = "This work develops a framework for studying the behavior of a passive scalar field in incompressible wall-bounded turbulence using the resolvent operator. This approach expresses the state of the system as the result of applying a linear (resolvent) operator to the nonlinear terms in the governing Navier-Stokes equations. By augmenting the system with a passive scalar equation, this formulation is used to study the relationship between velocity and scalar fluctuations. Additional insight into the mechanisms responsible for driving scalar fluctuations is attained by considering the resolvent form of the passive scalar equation in isolation from the momentum equations. We demonstrate that the passive scalar resolvent operator admits rescaling properties that relates the behavior of scalar fields with different diffusivities, and investigate the ability of this modeling framework to predict statistical properties of the fluctuating scalar field.",
author = "Dawson, {Scott T.M.} and McKeon, {Beverley J.} and Saxton-Fox, {Theresa Ann}",
year = "2018",
month = "1",
day = "1",
doi = "10.2514/6.2018-4042",
language = "English (US)",
isbn = "9781624105531",
series = "2018 Fluid Dynamics Conference",
publisher = "American Institute of Aeronautics and Astronautics Inc, AIAA",
booktitle = "2018 Fluid Dynamics Conference",

}

TY - GEN

T1 - Modeling passive scalar dynamics in wall-bounded turbulence using resolvent analysis

AU - Dawson, Scott T.M.

AU - McKeon, Beverley J.

AU - Saxton-Fox, Theresa Ann

PY - 2018/1/1

Y1 - 2018/1/1

N2 - This work develops a framework for studying the behavior of a passive scalar field in incompressible wall-bounded turbulence using the resolvent operator. This approach expresses the state of the system as the result of applying a linear (resolvent) operator to the nonlinear terms in the governing Navier-Stokes equations. By augmenting the system with a passive scalar equation, this formulation is used to study the relationship between velocity and scalar fluctuations. Additional insight into the mechanisms responsible for driving scalar fluctuations is attained by considering the resolvent form of the passive scalar equation in isolation from the momentum equations. We demonstrate that the passive scalar resolvent operator admits rescaling properties that relates the behavior of scalar fields with different diffusivities, and investigate the ability of this modeling framework to predict statistical properties of the fluctuating scalar field.

AB - This work develops a framework for studying the behavior of a passive scalar field in incompressible wall-bounded turbulence using the resolvent operator. This approach expresses the state of the system as the result of applying a linear (resolvent) operator to the nonlinear terms in the governing Navier-Stokes equations. By augmenting the system with a passive scalar equation, this formulation is used to study the relationship between velocity and scalar fluctuations. Additional insight into the mechanisms responsible for driving scalar fluctuations is attained by considering the resolvent form of the passive scalar equation in isolation from the momentum equations. We demonstrate that the passive scalar resolvent operator admits rescaling properties that relates the behavior of scalar fields with different diffusivities, and investigate the ability of this modeling framework to predict statistical properties of the fluctuating scalar field.

UR - http://www.scopus.com/inward/record.url?scp=85051290018&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85051290018&partnerID=8YFLogxK

U2 - 10.2514/6.2018-4042

DO - 10.2514/6.2018-4042

M3 - Conference contribution

AN - SCOPUS:85051290018

SN - 9781624105531

T3 - 2018 Fluid Dynamics Conference

BT - 2018 Fluid Dynamics Conference

PB - American Institute of Aeronautics and Astronautics Inc, AIAA

ER -