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A lattice Boltzmann algorithm for calculation of the laminar jet diffusion flame

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Title: A lattice Boltzmann algorithm for calculation of the laminar jet diffusion flame
Authors: Lee, Taehun1 thlee@ccny.cuny.edu, Lin, Ching-Long1 ching-long-lin@uiowa.edu, Chen, Lea-Der2 lea-der-chen@uiowa.edu
Source: Journal of Computational Physics. Jun2006, Vol. 215 Issue 1, p133-152. 20p.
Subjects: Transport theory, Flame, Navier-Stokes equations, Mathematical models
Abstract: Abstract: A new two-distribution lattice Boltzmann equation (LBE) algorithm is presented to solve the laminar diffusion flames within the context of Burke–Schumann flame sheet model. One distribution models the transport of the Schvab–Zeldovich coupling function, or the mixture fraction to combine the energy and species equations. The other distribution models the quasi-incompressible Navier–Stokes equations with the low Mach number approximation. In the quasi-incompressible flows, the thermodynamics quantities depend on the coupling function but not on the hydrodynamic pressure, and the fluid components are assumed to be compressible only in the mixing/reaction region. A systematic and consistent approach to deriving LBEs for the general advection–diffusion equation and the quasi-incompressible Navier–Stokes equations are also presented. The streaming step of the LBEs are discretized by the total variation diminishing (TVD) Lax–Wendroff scheme. Numerical simulations are carried out to reproduce the low frequency flame oscillation (or flame flicker) of buoyant jet diffusion flame. Comparison between the quasi-incompressible model and the incompressible model is presented and the role of non-solenoidal velocity is examined. [Copyright &y& Elsevier]
Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 20344949
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  Data: A lattice Boltzmann algorithm for calculation of the laminar jet diffusion flame
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  Data: <searchLink fieldCode="AR" term="%22Lee%2C+Taehun%22">Lee, Taehun</searchLink><relatesTo>1</relatesTo><i> thlee@ccny.cuny.edu</i><br /><searchLink fieldCode="AR" term="%22Lin%2C+Ching-Long%22">Lin, Ching-Long</searchLink><relatesTo>1</relatesTo><i> ching-long-lin@uiowa.edu</i><br /><searchLink fieldCode="AR" term="%22Chen%2C+Lea-Der%22">Chen, Lea-Der</searchLink><relatesTo>2</relatesTo><i> lea-der-chen@uiowa.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+Physics%22">Journal of Computational Physics</searchLink>. Jun2006, Vol. 215 Issue 1, p133-152. 20p.
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  Data: <searchLink fieldCode="DE" term="%22Transport+theory%22">Transport theory</searchLink><br /><searchLink fieldCode="DE" term="%22Flame%22">Flame</searchLink><br /><searchLink fieldCode="DE" term="%22Navier-Stokes+equations%22">Navier-Stokes equations</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Abstract: A new two-distribution lattice Boltzmann equation (LBE) algorithm is presented to solve the laminar diffusion flames within the context of Burke–Schumann flame sheet model. One distribution models the transport of the Schvab–Zeldovich coupling function, or the mixture fraction to combine the energy and species equations. The other distribution models the quasi-incompressible Navier–Stokes equations with the low Mach number approximation. In the quasi-incompressible flows, the thermodynamics quantities depend on the coupling function but not on the hydrodynamic pressure, and the fluid components are assumed to be compressible only in the mixing/reaction region. A systematic and consistent approach to deriving LBEs for the general advection–diffusion equation and the quasi-incompressible Navier–Stokes equations are also presented. The streaming step of the LBEs are discretized by the total variation diminishing (TVD) Lax–Wendroff scheme. Numerical simulations are carried out to reproduce the low frequency flame oscillation (or flame flicker) of buoyant jet diffusion flame. Comparison between the quasi-incompressible model and the incompressible model is presented and the role of non-solenoidal velocity is examined. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.jcp.2005.10.021
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      – Code: eng
        Text: English
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        StartPage: 133
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        Type: general
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      – SubjectFull: Navier-Stokes equations
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      – TitleFull: A lattice Boltzmann algorithm for calculation of the laminar jet diffusion flame
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              Text: Jun2006
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