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Research Papers

Improved Treatment of Anisotropic Scattering for Ultrafast Radiative Transfer Analysis

[+] Author and Article Information
Brian Hunter

Department of Mechanical
and Aerospace Engineering,
Rutgers, The State University of New Jersey,
98 Brett Road,
Piscataway, NJ 08854
e-mail: bhunter47@gmail.com

Zhixiong Guo

Fellow ASME
Department of Mechanical
and Aerospace Engineering,
Rutgers, The State University of New Jersey,
98 Brett Road,
Piscataway, NJ 08854
e-mail: guo@jove.rutgers.edu

1Corresponding author.

Manuscript received January 19, 2014; final manuscript received January 23, 2015; published online May 14, 2015. Assoc. Editor: L. Q. Wang.

J. Heat Transfer 137(9), 091004 (Sep 01, 2015) (9 pages) Paper No: HT-14-1024; doi: 10.1115/1.4030211 History: Received January 19, 2014; Revised January 23, 2015; Online May 14, 2015

The necessity of conserving both scattered energy and asymmetry factor for ballistic incidence after finite volume method (FVM) or discrete-ordinates method (DOM) discretization is shown. A phase-function normalization technique introduced previously by the present authors is applied to scattering of ballistic incidence in 3D FVM/DOM to improve treatment of anisotropic scattering through reduction of angular false scattering errors. Ultrafast radiative transfer predictions generated using FVM and DOM are compared to benchmark Monte Carlo to illustrate the necessity of ballistic phase-function normalization. Proper ballistic phase-function treatment greatly improves predicted heat fluxes and energy deposition for anisotropic scattering and for situations where accurate numerical modeling is crucial.

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References

Figures

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Fig. 1

Deviation from ballistic scattered energy conservation versus number of discrete directions for HG phase function with g = 0.9300

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Fig. 2

Deviation from ballistic asymmetry factor conservation versus number of discrete directions for HG phase function with g = 0.9300

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Fig. 3

Impact of ballistic normalization on ultrafast Q(x *, y * = 0.5, z * = 1) for normal ballistic incidence at z * = 0 wall at various times using DOM and FVM with (a) M = 80 and (b) M = 168 discrete directions and comparison with Monte Carlo [42]

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Fig. 4

Percent difference in Q(x*, y* = 0.5, z* = 1) between MC solution [42] and FVM solutions both with and without phase-function normalization using various solid-angle splitting densities for M = 168 discrete directions

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Fig. 5

Impact of ballistic normalization on ∇·qr(x*=0.5,y*=0.5,z*) at different nondimensional times using DOM and FVM with (a) M = 80 and (b) M = 168 discrete directions in a medium with tissue-mimicking properties

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Fig. 6

Contours of percentage difference in ∇·qr(x*,y*=0.5,z*) between DOM with ballistic energy normalization only and DOM with Hunter and Guo's ballistic normalization applied for M = 80 discrete directions in medium with tissue-mimicking properties

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Fig. 7

Contours of percentage difference in ∇·qr(x*,y*=0.5,z*) between FVM with and without Hunter and Guo's ballistic normalization using (Nsφ×Nsθ) = (6 × 6) solid-angle splitting and M = 80 discrete directions in a medium with tissue-mimicking properties

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Fig. 8

Contours of percentage difference in ∇·qr(x*,y*=0.5,z*) between FVM and DOM using Hunter and Guo's ballistic normalization for M = 80 discrete directions in medium with tissue-mimicking properties

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