TheF N method for radiative transfer problems without azimuthal symmetry

  • C. Devaux
  • C. E. Siewert
Original Papers


The formalism required to solve by theF N method radiative transfer problems lacking azimuthal symmetry is developed, and numerical results are given.


Mathematical Method Radiative Transfer Transfer Problem Azimuthal Symmetry Radiative Transfer Problem 
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Es wird der Formalismus entwickelt der zur Lösung von Strahlungsproblemen mit derF N -Methode benötigt wird, falls keine azimutale Symmetrie vorliegt. Numerische Ergebnisse werden gegeben.


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  1. [1]
    C. E. Siewert andP. Benoist, Nucl. Sci. Eng.,69, 156 (1979).Google Scholar
  2. [2]
    P. Grandjean andC. E. Siewert, Nucl. Sci. Eng.,69, 161 (1979).Google Scholar
  3. [3]
    C. E. Siewert, Astrophys. Space Sci.,58, 131 (1978).Google Scholar
  4. [4]
    C. E. Siewert andP. Grandjean, Nucl. Sci. Eng.,70, 96 (1979).Google Scholar
  5. [5]
    C. Devaux, P. Grandjean, Y. Ishiguro, andC. E. Siewert, Astrophys. Space Sci.,62, 225 (1979).Google Scholar
  6. [6]
    S. Chandrasekhar,Radiative Transfer, Oxford University Press, London (1950).Google Scholar
  7. [7]
    M. Abramowitz andI. A. Stegun, Eds.,Handbook of Mathematical Functions, AMS 55, Nat. Bureau of Standards, Washington, D.C. (1964).Google Scholar
  8. [8]
    N. J. McCormick andI. Kuščer, J. Math. Phys.7, 2036 (1966).Google Scholar
  9. [9]
    L. Robin,Fonctions sphériques de Legendre et fonctions sphériodales, Gauthier-Villars, Paris (1959).Google Scholar
  10. [10]
    J. K. Shultis, Nucl. Sci. Eng.,59, 53 (1976).Google Scholar
  11. [11]
    L. V. Ahlfors,Complex Analysis, McGraw-Hill, New York (1953).Google Scholar
  12. [12]
    C. E. Siewert, J. Math. Phys. (in press).Google Scholar
  13. [13]
    C. Devaux, Y. Fouquart, M. Herman andJ. Lenoble, JQSRT,13, 1421 (1973).Google Scholar
  14. [14]
    N. J. McCormick andR. Sanchez, private communication (1979).Google Scholar
  15. [15]
    N. J. McCormick, J. Math. Phys.,20, 1504 (1979).Google Scholar

Copyright information

© Birkhüuser-Verlag 1980

Authors and Affiliations

  • C. Devaux
    • 1
  • C. E. Siewert
    • 2
  1. 1.Laboratoire d'Optique AtmosphériqueUniversité des Sciences et Techniques de LilleVilleneuve d'AscqFrance
  2. 2.Nuclear Engineering Dept.North Carolina State UniversityRaleighUSA

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