Acute anisotropic scattering in a medium under collimated irradiation

Consalvi, Jean-Louis; Boulet, Pascal

doi:10.1016/j.ijthermalsci.2010.09.002

Cited by 7 publications

(16 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…reference control volume, were presented by Boulet et al [6] and Collin et al [7] for the diffuse and collimated wall incidence cases, respectively. The impact of diffuse phase-function normalization on radiative heat flux for a cubic enclosure containing a cold medium with one diffusely emitting hot wall at z Ã ¼ 0 is examined in Figure 1.…”

Section: -D Phase-function Normalization Part II 227mentioning

confidence: 99%

“…The radiative heat flux Q is calculated at the centerline of the wall opposite from the diffuse source, i.e., Qðx Ã ; y Ã ¼ 0:5; z Ã ¼ 1:0Þ. Solutions determined using the DOM S 12 quadrature with both the old and new normalizations are presented along with reference MC solutions [6,7]. The optical thickness and scattering albedo of the medium are taken as s ¼ 10.0 and x ¼ 1.0.…”

Section: -D Phase-function Normalization Part II 227mentioning

confidence: 99%

“…The impact of ballistic phase-function normalization on radiative heat flux Qðx Ã ; y Ã ¼ 0:5; z Ã ¼ 1:0Þ for a cold-walled cubic enclosure containing a cold medium irradiated at z Ã ¼ 0 by a normal collimated incidence of unity intensity is examined in Figure 4 . Impact of ballistic phase function normalization on Q(x Ã , y Ã ¼ 0.5, z Ã ¼ 1) for normal, ballistic heating at z Ã ¼ 0 wall generated with DOM S 12 for HG g ¼ 0.20, 0.80, and 0.93 and comparison with Monte Carlo results [7] for optically thin medium (color figure available online).…”

Section: -D Phase-function Normalization Part II 229mentioning

confidence: 99%

“…Results are presented solely for g ¼ 0.93. In addition to MC results, finite-volume method (FVM) results, determined by Collin et al [7], are also presented for this case. The FVM results were generated with 23 divisions over the polar angle range and 24 directions in the azimuthal range [7].…”

Section: -D Phase-function Normalization Part II 231mentioning

confidence: 99%

“…First, DOM solutions in a 3-D cubic enclosure containing a participating medium, subjected to either diffuse or ballistic irradiation, are compared to benchmark Monte Carlo (MC) solutions [6,7], in order to validate the necessity of eliminating angular false scattering due to lack of asymmetry-factor conservation via the authors' new normalization technique. The MC, details of which can be found in textbook [8], has been used extensively as a method for determining both steady-state [9][10][11][12][13][14][15][16][17] and transient radiative transfer of ultrafast lasers [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Phase-Function Normalization in the 3-D Discrete-Ordinates Solution of Radiative Transfer—PART II: Benchmark Comparisons

Hunter

Guo

2012

Numerical Heat Transfer, Part B: Fundamentals

View full text Add to dashboard Cite

Radiative transfer in a cubic enclosure, subject to varying conditions, is determined using the discrete-ordinates method (DOM) with the two normalization techniques introduced in Part I of this study. Their predictions are compared with Monte Carlo simulations. For all cases, false scattering due to directional discretization cannot be corrected when the old technique, which solely conserves scattered energy, is implemented; and thus, significant discrepancies exist when compared to Monte Carlo results. The new technique, which conserves both scattered energy and the asymmetry factor, is able to retain original scattering properties after directional discretization, leading to improved accuracy when compared to Monte Carlo. In addition, a parametric study is presented to gauge the impact of asymmetry-factor conservation on media with various optical properties. Finally, the impact of normalization is investigated for both ultrafast radiative transfer and ballistic incidence with varying incident angle.

show abstract

Section: -D Phase-function Normalization Part II 227mentioning

confidence: 99%

Section: -D Phase-function Normalization Part II 227mentioning

confidence: 99%

Section: -D Phase-function Normalization Part II 229mentioning

confidence: 99%

Section: -D Phase-function Normalization Part II 231mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Phase-Function Normalization in the 3-D Discrete-Ordinates Solution of Radiative Transfer—PART II: Benchmark Comparisons

Hunter

Guo

2012

Numerical Heat Transfer, Part B: Fundamentals

View full text Add to dashboard Cite

show abstract

Advances in the discrete ordinates and finite volume methods for the solution of radiative heat transfer problems in participating media

Coelho

2014

Journal of Quantitative Spectroscopy and Radiative Transfer

145

View full text Add to dashboard Cite

Radiative heat transfer in strongly forward scattering media using the discrete ordinates method

Granate

Coelho

Roger

2016

Journal of Quantitative Spectroscopy and Radiative Transfer

View full text Add to dashboard Cite

International audienceThe discrete ordinates method (DOM) is widely used to solve the radiative transfer equation, often yielding satisfactory results. However, in the presence of strongly forward scattering media, this method does not generally conserve the scattering energy and the phase function asymmetry factor. Because of this, the normalization of the phase function has been proposed to guarantee that the scattering energy and the asymmetry factor are conserved. Various authors have used different normalization techniques. Three of these are compared in the present work, along with two other methods, one based on the finite volume method (FVM) and another one based on the spherical harmonics discrete ordinates method (SHDOM). In addition, the approximation of the Henyey–Greenstein phase function by a different one is investigated as an alternative to the phase function normalization. The approximate phase function is given by the sum of a Dirac delta function, which accounts for the forward scattering peak, and a smoother scaled phase function. In this study, these techniques are applied to three scalar radiative transfer test cases, namely a three-dimensional cubic domain with a purely scattering medium, an axisymmetric cylindrical enclosure containing an emitting–absorbing–scattering medium, and a three-dimensional transient problem with collimated irradiation. The present results show that accurate predictions are achieved for strongly forward scattering media when the phase function is normalized in such a way that both the scattered energy and the phase function asymmetry factor are conserved. The normalization of the phase function may be avoided using the FVM or the SHDOM to evaluate the in-scattering term of the radiative transfer equation. Both methods yield results whose accuracy is similar to that obtained using the DOM along with normalization of the phase function. Very satisfactory predictions were also achieved using the delta-M phase function, while the delta-Eddington phase function and the transport approximation may perform poorly

show abstract

Acute anisotropic scattering in a medium under collimated irradiation

Cited by 7 publications

References 12 publications

Phase-Function Normalization in the 3-D Discrete-Ordinates Solution of Radiative Transfer—PART II: Benchmark Comparisons

Phase-Function Normalization in the 3-D Discrete-Ordinates Solution of Radiative Transfer—PART II: Benchmark Comparisons

Advances in the discrete ordinates and finite volume methods for the solution of radiative heat transfer problems in participating media

Radiative heat transfer in strongly forward scattering media using the discrete ordinates method

Contact Info

Product

Resources

About