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Probability Density Function Characterization for Conditional Source-term Estimation in High-Pressure Combustion

Christopher, N. and Hickey, Jean-Pierre and De Graaf, S. and Bellan, J. and Bushe, W. K: and Devaud, C. and Hannemann, Volker (2017) Probability Density Function Characterization for Conditional Source-term Estimation in High-Pressure Combustion. [Other]

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Official URL: http://www.sfbtr40.de/fileadmin/Summer_Programs/Summer_Program_2017/summer-program-report-2017/2017-summer-program-report-03.pdf

Abstract

The present study investigates the long-standing issue in the accurate simulations of high-pressure (high-p) combustion, namely: the modeling of turbulence-chemistry - thermodynamic interaction. This issue is addressed through an a posteriori study of a Direct Numerical Simulation (DNS) database representing high-p turbulent combustion. The DNS database is described in Bellan (2017) and consists of simulations of a temporal mixing layer in which a single-step chemical reaction occurs. That study indicates that when the single-conditioned Conditional Source-term Estimate (CSE) approach is used based on a beta probability distribution function (PDF) representing the mixture fraction, the turbulent reaction rate is significantly over-predicted; the inaccuracy of the model is here traced to the large variance about the conditional mean due to the non-linearity in the real-gas equation of state. It is shown that by doubly-conditioning the source-term using as conditioning variables the mixture fraction and a characteristic thermodynamic variable, the chemical source-term estimation is considerably improved for all test cases in the DNS database. The rationale directing the choice of the PDF and the reason for the Double-Conditioned Source-term Estimate approach success are explained.

Item URL in elib:https://elib.dlr.de/115672/
Document Type:Other
Additional Information:DFG-SFB Transregio40 Summer Program 2017
Title:Probability Density Function Characterization for Conditional Source-term Estimation in High-Pressure Combustion
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Christopher, N.Department of Mechanical and Mechatronics Engineering, University of Waterloo, CanadaUNSPECIFIED
Hickey, Jean-PierreDepartment of Mechanical and Mechatronics Engineering, University of Waterloo, CanadaUNSPECIFIED
De Graaf, S.Department of Mechanical Engineering, University of British Columbia, CanadaUNSPECIFIED
Bellan, J.California Institute of Technology, Pasadena, USA; Jet Propulsion Laboratory, California Institute of Technology, USAUNSPECIFIED
Bushe, W. K:Department of Mechanical Engineering, University of British Columbia, CanadaUNSPECIFIED
Devaud, C.Department of Mechanical and Mechatronics Engineering, University of Waterloo, CanadaUNSPECIFIED
Hannemann, VolkerVolker.Hannemann (at) dlr.deUNSPECIFIED
Date:2017
Refereed publication:No
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:turbulente Verbrennung, bedingte Quelltermabschätzung
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Transport
DLR - Research area:Raumfahrt
DLR - Program:R RP - Raumtransport
DLR - Research theme (Project):R - Raumfahrzeugsysteme - Numerische Verfahren und Simulation
Location: Göttingen
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > Spacecraft, GO
Deposited By: Bachmann, Barbara
Deposited On:08 Dec 2017 12:13
Last Modified:31 Jul 2019 20:13

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