NDLI: Correcting Anisotropic Gradient Transport of k

Content Provider	Springer Nature Link
Author	Ristorcelli, J. R. Livescu, D.
Copyright Year	2010
Abstract	The gradient transport model for k is extended to classes of turbulent flows for which the gradient transport hypothesis is relevant but the anisotropy of the Reynolds stress, to which the eddy diffusivity is proportional, is large and variable. In highly anisotropic turbulence the standard isotropic model used in engineering practice is fundamentally wrong and the conventional anisotropic approximation inadequate. The work is motivated by the important observations that the eddy diffusivity coefficient for a standard gradient transport model for various transported quantities is a factor of 3–10 times larger in highly anisotropic turbulence than that used in standard engineering models. While the conventional anisotropic eddy diffusivity approximation appears adequate for material conserved scalars it is inadequate for k. The problem is solved by addressing the anisotropy of the turbulent transport of k at the level of the underlying third order tensor. It is shown that, unlike the traditional transport models for k, the orientation of the anisotropy with respect to the direction of the gradient plays a crucial role not accounted for in conventional models used in engineering calculations. The new anisotropic eddy diffusivity tensor is quadratic in the anisotropy (the traditional model is linear in the anisotropy). It is shown that the new more rigorous anisotropic eddy diffusivity varies 300% more than the standard model comparing the isotropic limit to the value for the two-dimensional limit. The two-dimensional limit is important in strongly stably stratified flows, in pressure gradient or shock driven flows and in rotating flows. Using the simple shear and the homogeneous non-equilibrium Rayleigh Taylor turbulence the new anisotropic diffusivity tensor is validated in inhomogeneous Rayleigh Taylor turbulence at early and late times.
Starting Page	443
Ending Page	455
Page Count	13
File Format	PDF
ISSN	13866184
Journal	Flow, Turbulence and Combustion
Volume Number	85
Issue Number	3-4
e-ISSN	15731987
Language	English
Publisher	Springer Netherlands
Publisher Date	2010-06-12
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Turbulence modeling Second moment closures Gradient transport Automotive Engineering Fluid- and Aerodynamics Engineering Thermodynamics, Heat and Mass Transfer Engineering Fluid Dynamics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Physical and Theoretical Chemistry Chemical Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Pressure–Strain Correlation Modeling: Towards Achieving Consistency with Rapid Distortion Theory

Passive Scalar Transport Modeling for Hybrid RANS/LES Simulation

Assessment of Turbulence-Chemistry Interaction Models in MILD Combustion Regime

Preface : Special Issue on Recent Advances in Turbulence, Heat and Mass Transfer

The Oriented-Eddy Collision Turbulence Model

Calculation of Kiln Aerodynamics with two RANS Turbulence Models and by DDES

Preface : Engineering Turbulence Modelling, Simulation and Measurements

DNS of Fractal-Generated Turbulence

Statistical Models of Large Scale Turbulent Flow

Correcting Anisotropic Gradient Transport of k

Similar Documents

Pressure–Strain Correlation Modeling: Towards Achieving Consistency with Rapid Distortion Theory

Passive Scalar Transport Modeling for Hybrid RANS/LES Simulation

Assessment of Turbulence-Chemistry Interaction Models in MILD Combustion Regime

Preface : Special Issue on Recent Advances in Turbulence, Heat and Mass Transfer

The Oriented-Eddy Collision Turbulence Model

Calculation of Kiln Aerodynamics with two RANS Turbulence Models and by DDES

Preface : Engineering Turbulence Modelling, Simulation and Measurements

DNS of Fractal-Generated Turbulence

Statistical Models of Large Scale Turbulent Flow

Correcting Anisotropic Gradient Transport of k