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Joint Velocity Scalar Filtered Density Function for Large Eddy Simulation of Turbulent Reacting Flows

Haji-Sheikhi, Mohammad-Reza (2006) Joint Velocity Scalar Filtered Density Function for Large Eddy Simulation of Turbulent Reacting Flows. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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The joint ``velocity-scalar' filtered density function (FDF) methodology is developed and implemented for large eddy simulation (LES) of turbulent reacting flows. In FDF, the effects of the unresolved subgrid scales (SGS) are taken into account by considering the joint probability density function (PDF) of the velocity and scalar fields. An exact transport equation is derived for the FDF in which the effects of SGS convection and chemical reaction are in closed forms. The unclosed terms in this equation are modeled by considering an equivalent set of stochastic differential equations (SDEs) which is similar to that typically used in Reynolds-averaged simulation (RAS) procedures. The SDEs are solved numerically by a Lagrangian Monte Carlo procedure in which the It^o-Gikhman character of the SDEs is preserved. The consistency of the proposed SDEs and the convergence of the Monte Carlo solution are assessed. It is shown that the FDF results agree well with those obtained by a ``conventional' finite-difference LES procedure in which the transport equations corresponding to the filtered quantities are solved directly. The FDF results are also compared with those obtained by the Smagorinsky closure, and all the results are assessed via comparison with data obtained by direct numerical simulation of a temporally developing mixing layer involving transport of a passive scalar. It is shown that all the first twomoments including the scalar fluxes are predicted well by FDF. The predictive capabilities of the FDF are further demonstrated by LES of reacting shear flows. The predictions show favorable agreements with laboratory data, and demonstrate several of the features as observed experimentally.


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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Haji-Sheikhi, Mohammad-Rezamoh3@pitt.eduMOH3
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairGivi, Peymangivi@engr.pitt.eduPEG10
Committee MemberAmon, Cristina
Committee MemberGaldi, G. Paologaldi@engr.pitt.eduGALDI
Committee MemberChyu, Minking Kmkchyu@engr.pitt.eduMKCHYU
Date: 1 February 2006
Date Type: Completion
Defense Date: 1 December 2005
Approval Date: 1 February 2006
Submission Date: 23 November 2005
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
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: filtered density function; large eddy simulation; Monte Carlo simulation; probability density function; turbulent combustion
Other ID:, etd-11232005-145041
Date Deposited: 10 Nov 2011 20:05
Last Modified: 15 Nov 2016 13:52


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