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

Scott T.M. Dawson, Beverley J. McKeon, Theresa 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

ASJC Scopus subject areas

  • Aerospace Engineering
  • Engineering (miscellaneous)

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  • Cite this

    Dawson, S. T. M., McKeon, B. J., & Saxton-Fox, T. (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