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A fast spectral approximation of narrow-band model for thermal radiation calculation

Yan, Zhenghua LU (2004) In Numerical Heat Transfer Part B: Fundamentals 46(2). p.165-178
Abstract
A fast spectral approximation of a narrow-band computer model is proposed for prediction of thermal radiation in a generally nonisothermal and nonhomogeneous combustion environment. The approximation is made by assuming each discretized spatial element along a line of sight to be locally "gray" within each small narrow-band spectrum interval. For each spatial element, the local equivalent spectral absorption coefficient of the combustion products, including carbon dioxide, water vapor, and soot, is calculated based on formulas from the narrow-band model. Compared with the previously developed fast narrow-band model, FASTNB, which is an order of magnitude faster and gives almost exactly the same result as Grosshandler's original narrow-band... (More)
A fast spectral approximation of a narrow-band computer model is proposed for prediction of thermal radiation in a generally nonisothermal and nonhomogeneous combustion environment. The approximation is made by assuming each discretized spatial element along a line of sight to be locally "gray" within each small narrow-band spectrum interval. For each spatial element, the local equivalent spectral absorption coefficient of the combustion products, including carbon dioxide, water vapor, and soot, is calculated based on formulas from the narrow-band model. Compared with the previously developed fast narrow-band model, FASTNB, which is an order of magnitude faster and gives almost exactly the same result as Grosshandler's original narrow-band model RADCAL, this approximation method provides calculation result with small deviation at substantially faster speed. Furthermore, the speed-up ratio increases linearly with the number of discretized spatial elements along a line of sight. This makes this approximation method particularly useful in computational combustion, where the grid number used in computation is steadily becoming larger and larger as the computation goes toward large eddy simulation (LES) and direct numerical simulation (DNS). (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Numerical Heat Transfer Part B: Fundamentals
volume
46
issue
2
pages
165 - 178
publisher
Taylor & Francis
external identifiers
  • wos:000222637400004
  • scopus:3142690458
ISSN
1040-7790
DOI
10.1080/10407790490438473
language
English
LU publication?
yes
id
39c654a2-9ef3-4d93-8fe2-22aad2df0112 (old id 272736)
date added to LUP
2007-11-07 08:06:38
date last changed
2017-07-30 04:32:29
@article{39c654a2-9ef3-4d93-8fe2-22aad2df0112,
  abstract     = {A fast spectral approximation of a narrow-band computer model is proposed for prediction of thermal radiation in a generally nonisothermal and nonhomogeneous combustion environment. The approximation is made by assuming each discretized spatial element along a line of sight to be locally "gray" within each small narrow-band spectrum interval. For each spatial element, the local equivalent spectral absorption coefficient of the combustion products, including carbon dioxide, water vapor, and soot, is calculated based on formulas from the narrow-band model. Compared with the previously developed fast narrow-band model, FASTNB, which is an order of magnitude faster and gives almost exactly the same result as Grosshandler's original narrow-band model RADCAL, this approximation method provides calculation result with small deviation at substantially faster speed. Furthermore, the speed-up ratio increases linearly with the number of discretized spatial elements along a line of sight. This makes this approximation method particularly useful in computational combustion, where the grid number used in computation is steadily becoming larger and larger as the computation goes toward large eddy simulation (LES) and direct numerical simulation (DNS).},
  author       = {Yan, Zhenghua},
  issn         = {1040-7790},
  language     = {eng},
  number       = {2},
  pages        = {165--178},
  publisher    = {Taylor & Francis},
  series       = {Numerical Heat Transfer Part B: Fundamentals},
  title        = {A fast spectral approximation of narrow-band model for thermal radiation calculation},
  url          = {http://dx.doi.org/10.1080/10407790490438473},
  volume       = {46},
  year         = {2004},
}