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VS-FMDF and EPVS-FMDF for Large Eddy Simulation of Turbulent Flows

Nik, Mehdi B. (2012) VS-FMDF and EPVS-FMDF for Large Eddy Simulation of Turbulent Flows. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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The first part of this dissertation is concerned with implementation of the joint ``velocity-scalar filtered mass density function'' (VS-FMDF) methodology for large eddy simulation (LES) of Sandia Flame D. This is a turbulent piloted nonpremixed methane jet flame. In VS-FMDF, the effects of the subgrid scale chemical reaction and convection appear in closed forms. The modeled transport equation for the VS-FMDF is solved by a hybrid finite-difference/Monte Carlo scheme. For this flame (which exhibits little local extinction), a flamelet model is employed to relate the instantaneous composition to the mixture fraction. The LES predictions are compared
with experimental data. It is shown that the methodology captures important features of the flame as observed experimentally.

In the second part of this dissertation, the joint
``energy-pressure-velocity-scalar filtered mass density function'' (EPVS-FMDF) is developed as a new subgrid scale (SGS) model for LES of high-speed turbulent flows.
In this model, the effects of compressibility are taken into account by including two additional thermodynamic variables: the pressure and the internal energy. The EPVS-FMDF is obtained by solving its modeled transport equation, in which the effect of convection appears in a closed form. The modeled EPVS-FMDF is employed for LES of a temporally developing mixing layer.


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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Nik, Mehdi B.smb51@pitt.eduSMB51
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Thesis AdvisorGivi, Peymanpgivi@pitt.eduPGIVI
Committee MemberCho, Sung SKCHO
Committee MemberSchaefer, Laura A.las149@pitt.eduLAS149
Committee MemberYao,
Date: 26 September 2012
Date Type: Publication
Defense Date: 20 July 2012
Approval Date: 26 September 2012
Submission Date: 9 July 2012
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 96
Institution: University of Pittsburgh
Schools and Programs: Swanson School of Engineering > Mechanical Engineering
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: Large eddy simulation, filtered density function, turbulent reacting flows.
Date Deposited: 26 Sep 2012 17:24
Last Modified: 15 Nov 2016 13:59


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