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A fully coupled high‐order discontinuous Galerkin method for diffusion flames in a low‐Mach number framework

Gutiérrez‐Jorquera, Juan ; Kummer, Florian (2022):
A fully coupled high‐order discontinuous Galerkin method for diffusion flames in a low‐Mach number framework. (Publisher's Version)
In: International Journal for Numerical Methods in Fluids, 94 (4), pp. 316-345. John Wiley & Sons, e-ISSN 1097-0363,
DOI: 10.26083/tuprints-00021545,
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Item Type: Article
Origin: Secondary publication DeepGreen
Status: Publisher's Version
Title: A fully coupled high‐order discontinuous Galerkin method for diffusion flames in a low‐Mach number framework
Language: English
Abstract:

We present a fully coupled solver based on the discontinuous Galerkin method for steady‐state diffusion flames using the low‐Mach approximation of the governing equations with a one‐step kinetic model. The nonlinear equation system is solved with a Newton–Dogleg method and initial estimates for flame calculations are obtained from a flame‐sheet model. Details on the spatial discretization and the nonlinear solver are presented. The method is tested with reactive and nonreactive benchmark cases. Convergence studies are presented, and we show that the expected convergence rates are obtained. The solver for the low‐Mach equations is used for calculating a differentially heated cavity configuration, which is validated against benchmark solutions. Additionally, a two‐dimensional counter diffusion flame is calculated, and the results are compared with the self‐similar one dimensional solution of said configuration.

Journal or Publication Title: International Journal for Numerical Methods in Fluids
Volume of the journal: 94
Issue Number: 4
Place of Publication: Darmstadt
Publisher: John Wiley & Sons
Uncontrolled Keywords: diffusion flames, discontinuous Galerkin, high‐order methods, low‐Mach equations, Newton method
Classification DDC: 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
Date Deposited: 24 Jun 2022 12:57
Last Modified: 27 Sep 2022 06:26
DOI: 10.26083/tuprints-00021545
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-215457
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/21545
PPN: 499655117
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