Developments in Formulation and Application of the Filtered Density Function

Drozda, Tomasz G.; Sheikhi, M. Reza H.; Madnia, C. K.; Givi, Peyman

doi:10.1007/s10494-006-9052-4

Cited by 52 publications

(22 citation statements)

References 108 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An effective strategy for modeling of SGS effects is the filtered density function (FDF) methodology [48,49]. This methodology has been the subject of extensive previous contributions [50][51][52][53][54][55][56][57][58][59][60][61][62]. In recent works [63,64], a methodology based on filtered density function (FDF), termed the entropy FDF (En-FDF), has been introduced, which allows LES prediction of entropy transport and generation in turbulent reacting flows.…”

Section: Introductionmentioning

confidence: 99%

Progress in the Prediction of Entropy Generation in Turbulent Reacting Flows Using Large Eddy Simulation

Safari

Hadi

Sheikhi

2014

Entropy

View full text Add to dashboard Cite

An overview is presented of the recent developments in the application of large eddy simulation (LES) for prediction and analysis of local entropy generation in turbulent reacting flows. A challenging issue in such LES is subgrid-scale (SGS) modeling of filtered entropy generation terms. An effective closure strategy, recently developed, is based on the filtered density function (FDF) methodology with inclusion of entropy variations. This methodology, titled entropy FDF (En-FDF), is the main focus of this article. The En-FDF has been introduced as the joint velocity-scalar-turbulent frequency-entropy FDF and the marginal scalar-entropy FDF. Both formulations contain the chemical reaction and its entropy generation effects in closed forms. The former constitutes the most comprehensive form of the En-FDF and provides closure for all of the unclosed terms in LES transport equations. The latter is the marginal En-FDF and accounts for entropy generation effects, as well as scalar-entropy statistics. The En-FDF methodologies are described, and some of their recent predictions of entropy statistics and entropy generation in turbulent shear flows are presented.

show abstract

Section: Introductionmentioning

confidence: 99%

Progress in the Prediction of Entropy Generation in Turbulent Reacting Flows Using Large Eddy Simulation

Safari

Hadi

Sheikhi

2014

Entropy

View full text Add to dashboard Cite

show abstract

“…The critical element in successful LES is the accurate modeling of the subgrid scale variables. The filtered density function (FDF) methodology has been effective in providing this closure [153,156,157]. The FDF is essentially the PDF of the subgrid scale (SGS) variables.…”

Section: Les/filtered Density Function Methods For High-speed Reacmentioning

confidence: 99%

Methods for Prediction of High-Speed Reacting Flows in Aerospace Propulsion

Drummond

2014

AIAA Journal

View full text Add to dashboard Cite

“…Pope [66] highlighted one of the major advantages of the FDF approach: the chemical reaction term in the FDF transport equation is closed; so, the modeling of this term is no longer required. Drozda et al [69] present an overview of the state of progress in FDF.…”

Section: The Filtered Density Function (Fdf) Approachmentioning

confidence: 99%

Transport and Mixing in Liquid Phase Using Large Eddy Simulation: A Review

Mejía¹,

Sadiki²,

Chejne³

et al. 2016

Numerical Simulation - From Brain Imaging to Turbulent Flows

View full text Add to dashboard Cite

Many mixing processes in engineering applications are turbulent. At high-Schmidt regime, the scalar scales are much lower than those of the velocity field, making difficult instantaneous measurements and direct numerical simulation for studying systems of practical interest. The use of large eddy simulation (LES) for analyzing transport and mixing of passive and reactive scalars at high-Schmidt (Sc) regime is addressed in this article. We present two different approaches for studying scalar transport and mixing in LES: the conventional approach is based on the modeling of the unclosed subgridscale scalar flux term in the filtered scalar equation by models commonly used for highSc flows. The second approach presented in this review for dealing with high-Sc flows is based on the use of a filtered mass density function (FDF) of the scalar field. Conclusions are presented about the relative merits of the two approaches.

show abstract

Developments in Formulation and Application of the Filtered Density Function

Cited by 52 publications

References 108 publications

Progress in the Prediction of Entropy Generation in Turbulent Reacting Flows Using Large Eddy Simulation

Progress in the Prediction of Entropy Generation in Turbulent Reacting Flows Using Large Eddy Simulation

Methods for Prediction of High-Speed Reacting Flows in Aerospace Propulsion

Transport and Mixing in Liquid Phase Using Large Eddy Simulation: A Review

Contact Info

Product

Resources

About