Monte Carlo simulations of turbulent non-premixed combustion using a velocity conditioned mixing model

M Stoellinger; D Efimov; DJEM Roekaerts

doi:10.1007/978-3-319-18206-3_7

Monte Carlo simulations of turbulent non-premixed combustion using a velocity conditioned mixing model

M Stoellinger, D Efimov, DJEM Roekaerts

Fluid Mechanics

Research output: Chapter in Book/Conference proceedings/Edited volume › Chapter › Scientific

Abstract

Non-premixed turbulent combustion in a laboratory scale ﬂame (Delft III ﬂame) is studied using a statistical description at the one-point one-time joint velocity—scalar composition probability density function (PDF) level. The PDF evolution equation is solved using a stochastic Lagrangian Monte Carlo method. The PDF equation requires a so called micro-mixing model for closure and the performance of two micro-mixing models is investigated. The Interaction by Exchange with the Mean (IEM) micro mixing model is the most commonly adopted model. The IEM model was developed for the scalar PDF method and does not depend on velocitystatistics.AphysicallymoresoundextensionoftheIEMistheInteractionby Exchange with the Conditional Mean (IECM) which involves mixing of the scalars towards mean values conditional on the velocity. Both models are applied in this workanditisshownthattheIECMmodeldoesperformsigniﬁcantlybetterthanthe simple IEM model.

Original language	English
Title of host publication	Stochastic equations for complex systems
Subtitle of host publication	Theoretical and computational topics
Editors	S Heinz, H Bessaih
Place of Publication	Cham, Switzerland
Publisher	Springer
Pages	143-174
ISBN (Print)	978-3-319-18205-6
DOIs	https://doi.org/10.1007/978-3-319-18206-3_7
Publication status	Published - 2015

Publication series

Name	Mathematical Engineering
Publisher	Springer

Access to Document

10.1007/978-3-319-18206-3_7

Cite this

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title = "Monte Carlo simulations of turbulent non-premixed combustion using a velocity conditioned mixing model",

abstract = "Non-premixed turbulent combustion in a laboratory scale ﬂame (Delft III ﬂame) is studied using a statistical description at the one-point one-time joint velocity—scalar composition probability density function (PDF) level. The PDF evolution equation is solved using a stochastic Lagrangian Monte Carlo method. The PDF equation requires a so called micro-mixing model for closure and the performance of two micro-mixing models is investigated. The Interaction by Exchange with the Mean (IEM) micro mixing model is the most commonly adopted model. The IEM model was developed for the scalar PDF method and does not depend on velocitystatistics.AphysicallymoresoundextensionoftheIEMistheInteractionby Exchange with the Conditional Mean (IECM) which involves mixing of the scalars towards mean values conditional on the velocity. Both models are applied in this workanditisshownthattheIECMmodeldoesperformsigniﬁcantlybetterthanthe simple IEM model.",

author = "M Stoellinger and D Efimov and DJEM Roekaerts",

year = "2015",

doi = "10.1007/978-3-319-18206-3_7",

language = "English",

isbn = "978-3-319-18205-6",

series = "Mathematical Engineering",

publisher = "Springer",

pages = "143--174",

editor = "S Heinz and H Bessaih",

booktitle = "Stochastic equations for complex systems",

}

Stoellinger, M, Efimov, D & Roekaerts, DJEM 2015, Monte Carlo simulations of turbulent non-premixed combustion using a velocity conditioned mixing model. in S Heinz & H Bessaih (eds), Stochastic equations for complex systems: Theoretical and computational topics. Mathematical Engineering, Springer, Cham, Switzerland, pp. 143-174. https://doi.org/10.1007/978-3-319-18206-3_7

Monte Carlo simulations of turbulent non-premixed combustion using a velocity conditioned mixing model. / Stoellinger, M; Efimov, D; Roekaerts, DJEM.
Stochastic equations for complex systems: Theoretical and computational topics. ed. / S Heinz; H Bessaih. Cham, Switzerland: Springer, 2015. p. 143-174 (Mathematical Engineering).

Research output: Chapter in Book/Conference proceedings/Edited volume › Chapter › Scientific

TY - CHAP

T1 - Monte Carlo simulations of turbulent non-premixed combustion using a velocity conditioned mixing model

AU - Stoellinger, M

AU - Efimov, D

AU - Roekaerts, DJEM

PY - 2015

Y1 - 2015

N2 - Non-premixed turbulent combustion in a laboratory scale ﬂame (Delft III ﬂame) is studied using a statistical description at the one-point one-time joint velocity—scalar composition probability density function (PDF) level. The PDF evolution equation is solved using a stochastic Lagrangian Monte Carlo method. The PDF equation requires a so called micro-mixing model for closure and the performance of two micro-mixing models is investigated. The Interaction by Exchange with the Mean (IEM) micro mixing model is the most commonly adopted model. The IEM model was developed for the scalar PDF method and does not depend on velocitystatistics.AphysicallymoresoundextensionoftheIEMistheInteractionby Exchange with the Conditional Mean (IECM) which involves mixing of the scalars towards mean values conditional on the velocity. Both models are applied in this workanditisshownthattheIECMmodeldoesperformsigniﬁcantlybetterthanthe simple IEM model.

AB - Non-premixed turbulent combustion in a laboratory scale ﬂame (Delft III ﬂame) is studied using a statistical description at the one-point one-time joint velocity—scalar composition probability density function (PDF) level. The PDF evolution equation is solved using a stochastic Lagrangian Monte Carlo method. The PDF equation requires a so called micro-mixing model for closure and the performance of two micro-mixing models is investigated. The Interaction by Exchange with the Mean (IEM) micro mixing model is the most commonly adopted model. The IEM model was developed for the scalar PDF method and does not depend on velocitystatistics.AphysicallymoresoundextensionoftheIEMistheInteractionby Exchange with the Conditional Mean (IECM) which involves mixing of the scalars towards mean values conditional on the velocity. Both models are applied in this workanditisshownthattheIECMmodeldoesperformsigniﬁcantlybetterthanthe simple IEM model.

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DO - 10.1007/978-3-319-18206-3_7

M3 - Chapter

SN - 978-3-319-18205-6

T3 - Mathematical Engineering

SP - 143

EP - 174

BT - Stochastic equations for complex systems

A2 - Heinz, S

A2 - Bessaih, H

PB - Springer

CY - Cham, Switzerland

ER -

Monte Carlo simulations of turbulent non-premixed combustion using a velocity conditioned mixing model

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