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Method of invariant grid for model reduction of hydrogen combustion

Method of invariant grid for model reduction of hydrogen combustion
Method of invariant grid for model reduction of hydrogen combustion
The Method of Invariant Grid (MIG) is a model reduction technique based on the concept of slow
invariant manifold (SIM). The MIG approximates the SIM by a set of nodes in the concentration space
(invariant grid). In the present work, the MIG is applied to a realistic combustion system: an adiabatic
constant volume reactor with H2–air at stoichiometric proportions. By considering the thermodynamic
Lyapunov function of the detailed kinetic system, the notion of the quasi-equilibrium manifold (QEM)
is adopted as an initial approximation to the SIM. One- and two-dimensional discrete approximations
of the QEM (quasi-equilibrium grids) are constructed and refined via MIG to obtain the corresponding
invariant grids. The invariant grids are tabulated and used to integrate the reduced system. Excellent agreement
between the reduced and detailed kinetics is demonstrated.
model reduction, invariant manifold, entropy, thermodynamic projector, combustion
1540-7489
519-526
Chiavazzo, Eliodoro
dce5b8a7-3d53-4448-8863-6f7eda9b669d
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d
Frouzakis, Christos E.
5619bc31-3ee6-4b7f-8da6-a69cb5d205bf
Boulouchos, Konstantinos
2a4db23c-899a-4057-bbfd-be6b725c7bce
Chiavazzo, Eliodoro
dce5b8a7-3d53-4448-8863-6f7eda9b669d
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d
Frouzakis, Christos E.
5619bc31-3ee6-4b7f-8da6-a69cb5d205bf
Boulouchos, Konstantinos
2a4db23c-899a-4057-bbfd-be6b725c7bce

Chiavazzo, Eliodoro, Karlin, Iliya V., Frouzakis, Christos E. and Boulouchos, Konstantinos (2009) Method of invariant grid for model reduction of hydrogen combustion. Proceedings of the Combustion Institute, 32 (1), 519-526. (doi:10.1016/j.proci.2008.05.014).

Record type: Article

Abstract

The Method of Invariant Grid (MIG) is a model reduction technique based on the concept of slow
invariant manifold (SIM). The MIG approximates the SIM by a set of nodes in the concentration space
(invariant grid). In the present work, the MIG is applied to a realistic combustion system: an adiabatic
constant volume reactor with H2–air at stoichiometric proportions. By considering the thermodynamic
Lyapunov function of the detailed kinetic system, the notion of the quasi-equilibrium manifold (QEM)
is adopted as an initial approximation to the SIM. One- and two-dimensional discrete approximations
of the QEM (quasi-equilibrium grids) are constructed and refined via MIG to obtain the corresponding
invariant grids. The invariant grids are tabulated and used to integrate the reduced system. Excellent agreement
between the reduced and detailed kinetics is demonstrated.

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More information

Published date: 2009
Keywords: model reduction, invariant manifold, entropy, thermodynamic projector, combustion

Identifiers

Local EPrints ID: 155925
URI: https://eprints.soton.ac.uk/id/eprint/155925
ISSN: 1540-7489
PURE UUID: a04798ac-62fe-45e9-be40-9f447b719d40

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Date deposited: 02 Jun 2010 08:29
Last modified: 18 Jul 2017 12:43

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Contributors

Author: Eliodoro Chiavazzo
Author: Iliya V. Karlin
Author: Christos E. Frouzakis
Author: Konstantinos Boulouchos

University divisions

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