Pn Scattering Order: Definition & Differences

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SUMMARY

The Pn scattering order refers to the use of Legendre polynomials in expanding angular flux for transport problems, particularly in slab geometry. The order Pn indicates the number of Legendre polynomials used, with P1, P2, and P3 representing first, second, and third orders respectively. Higher orders provide more accurate approximations of angular distributions in computational codes. Understanding these differences is crucial for accurate modeling in fields such as radiation transport and computational physics.

PREREQUISITES
  • Discrete ordinates methods
  • Spherical harmonics
  • Legendre polynomials
  • Computational physics principles
NEXT STEPS
  • Research the application of Pn methods in radiation transport
  • Study the equivalence of Pn and Sn methods
  • Explore the use of Legendre polynomials in angular flux calculations
  • Review the publication "Application of the Pn-method to the calculation of the angular flux of gamma rays"
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Researchers, computational physicists, and engineers involved in radiation transport modeling and those utilizing computational codes for material analysis will benefit from this discussion.

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I use some computational codes.I must to enter Pn scattering order for some materials.What means that? For example what is difference between P1,P2,P3 order?
 
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Stephan_doc said:
I use some computational codes.I must to enter Pn scattering order for some materials.What means that? For example what is difference between P1,P2,P3 order?
Assuming one is familiar with discrete ordinates methods and spherical harmonics, the n in Pn refers to the number (n+1) of Legendre polynomials with which one expands the angular flux in transport problems, usually in slab geometry.

See also -
Why are the Pn and Sn Methods Equivalent
https://wci.llnl.gov/codes/tart/media/pdf/UCRL-JC-145518.pdf

krein.unica.it/~cornelis/private/ASTRONOMY/JQSRT/jqsrt71_1_25.pdf

https://eng.ucmerced.edu/people/mmodest/portal/publications/papers/JQSRTv109.pdf

P.R.M Storchi, Application of the Pn-method to the calculation of the anaular flux of gamma rays, Journal of Computational Physics, Volume 55, Issue 1, July 1984, Pages 81-97, ISSN 0021-9991, 10.1016/0021-9991(84)90016-0.
(http://www.sciencedirect.com/science/article/pii/0021999184900160)
 

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