Numerical parameter estimation for chemical models in multidimensional reactive flows

R. Becker; M. Braack; B. Vexler

doi:10.1088/1364-7830/8/4/001

Numerical parameter estimation for chemical models in multidimensional reactive flows

R. Becker
, M. Braack
, B. Vexler

Université de Pau et des Pays de l'Adour
Heidelberg University

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

We present an algorithm for parameter idenfification in combustion problems modelled by partial differential equations. The method includes local mesh refinement controlled by a posteriori error estimation with respect to the error in the parameters. The algorithm is applied to two types of combustion problems. The first one deals with the identification of Arrhenius parameters, while in the second one diffusion coefficients for a hydrogen flame are calibrated.

Original language	English
Pages (from-to)	661-682
Number of pages	22
Journal	Combustion Theory and Modelling
Volume	8
Issue number	4
DOIs	https://doi.org/10.1088/1364-7830/8/4/001
State	Published - Dec 2004
Externally published	Yes

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10.1088/1364-7830/8/4/001

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@article{8931eb69a8a54920aab81d8c940b946a,

title = "Numerical parameter estimation for chemical models in multidimensional reactive flows",

abstract = "We present an algorithm for parameter idenfification in combustion problems modelled by partial differential equations. The method includes local mesh refinement controlled by a posteriori error estimation with respect to the error in the parameters. The algorithm is applied to two types of combustion problems. The first one deals with the identification of Arrhenius parameters, while in the second one diffusion coefficients for a hydrogen flame are calibrated.",

author = "R. Becker and M. Braack and B. Vexler",

note = "Funding Information: This work has been supported by the German Research Foundation (DFG) through the Sonderforschungsbereich 359 {\textquoteleft}Reactive Flows, Diffusion and Transport{\textquoteright} and the Graduiertenkolleg {\textquoteleft}Complex Processes: Modeling, Simulation and Optimization{\textquoteright} at the Interdisciplinary Center of Scientific Computing (IWR), University of Heidelberg. We thank J Warnatz for providing the hydrogen mechanism and the thermodynamical and molecular databases. Furthermore, we thank A Ern for a fruitful discussion on the underventilated flame of section 6 and for providing the library EGLIB [18] for our purposes.",

year = "2004",

month = dec,

doi = "10.1088/1364-7830/8/4/001",

language = "English",

volume = "8",

pages = "661--682",

journal = "Combustion Theory and Modelling",

issn = "1364-7830",

publisher = "Taylor and Francis Ltd.",

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TY - JOUR

T1 - Numerical parameter estimation for chemical models in multidimensional reactive flows

AU - Becker, R.

AU - Braack, M.

AU - Vexler, B.

N1 - Funding Information: This work has been supported by the German Research Foundation (DFG) through the Sonderforschungsbereich 359 ‘Reactive Flows, Diffusion and Transport’ and the Graduiertenkolleg ‘Complex Processes: Modeling, Simulation and Optimization’ at the Interdisciplinary Center of Scientific Computing (IWR), University of Heidelberg. We thank J Warnatz for providing the hydrogen mechanism and the thermodynamical and molecular databases. Furthermore, we thank A Ern for a fruitful discussion on the underventilated flame of section 6 and for providing the library EGLIB [18] for our purposes.

PY - 2004/12

Y1 - 2004/12

N2 - We present an algorithm for parameter idenfification in combustion problems modelled by partial differential equations. The method includes local mesh refinement controlled by a posteriori error estimation with respect to the error in the parameters. The algorithm is applied to two types of combustion problems. The first one deals with the identification of Arrhenius parameters, while in the second one diffusion coefficients for a hydrogen flame are calibrated.

AB - We present an algorithm for parameter idenfification in combustion problems modelled by partial differential equations. The method includes local mesh refinement controlled by a posteriori error estimation with respect to the error in the parameters. The algorithm is applied to two types of combustion problems. The first one deals with the identification of Arrhenius parameters, while in the second one diffusion coefficients for a hydrogen flame are calibrated.

UR - https://www.scopus.com/pages/publications/11144322151

U2 - 10.1088/1364-7830/8/4/001

DO - 10.1088/1364-7830/8/4/001

M3 - Article

AN - SCOPUS:11144322151

SN - 1364-7830

VL - 8

SP - 661

EP - 682

JO - Combustion Theory and Modelling

JF - Combustion Theory and Modelling

IS - 4

ER -

Numerical parameter estimation for chemical models in multidimensional reactive flows

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