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Self-Contained Filtered Density Function

Nouri Gheimassi, Arash (2018) Self-Contained Filtered Density Function. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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Abstract

The filtered density function (FDF) closure is extended to a "self-contained" format to include the subgrid scale (SGS) statistics of all of the hydro-thermo-chemical variables in turbulent flows. These are the thermodynamic pressure, the specific internal energy, the velocity vector, and the composition field. In this format, the model is comprehensive and facilitates large eddy simulation (LES) of flows at both low and high compressibility levels. A transport equation is developed for the joint "pressure-energy-velocity-composition filtered mass density function (PEVC-FMDF)." In this equation, the effect of convection appears in closed form. The coupling of the hydrodynamics and thermochemistry is modeled via a set of stochastic differential equation (SDE) for each of the transport variables. This yields
a self-contained SGS closure. For demonstration, LES is conducted of a turbulent shear flow with transport of a passive scalar. The consistency of the PEVC-FMDF formulation is established, and its overall predictive capability is appraised via comparison with direct
numerical simulation (DNS) data.

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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Nouri Gheimassi, Arasharn36@pitt.eduarn360000-0001-7390-5212
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairGivi, Peymanpeg10@pitt.edupeg10
Committee MemberLayton, Williamwjl@pitt.eduwjl
Committee MemberLee, Sangyeopsylee@pitt.edusylee
Committee MemberSingh, Satbirsatbirs@andrew.cmu.edu
Date: 25 January 2018
Date Type: Publication
Defense Date: 27 September 2017
Approval Date: 25 January 2018
Submission Date: 17 October 2017
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 48
Institution: University of Pittsburgh
Schools and Programs: Swanson School of Engineering > Computational Modeling and Simulation
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: Large eddy simulation; filtered density function; Monte Carlo methods; compressible turbulent flows.
Date Deposited: 25 Jan 2018 13:37
Last Modified: 25 Jan 2018 13:37
URI: http://d-scholarship.pitt.edu/id/eprint/33265

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