A simplified spherical harmonic method for coupled electron-photon transport calculations

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In this thesis the author has developed a simplified spherical harmonic method (SP{sub N} method) and associated efficient solution techniques for 2-D multigroup electron-photon transport calculations. The SP{sub N} method has never before been applied to charged-particle transport. He has performed a first time Fourier analysis of the source iteration scheme and the P{sub 1} diffusion synthetic acceleration (DSA) scheme applied to the 2-D SP{sub N} equations. The theoretical analyses indicate that the source iteration and P{sub 1} DSA schemes are as effective for the 2-D SP{sub N} equations as for the 1-D S{sub N} equations. In addition, he has ... continued below

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120 p.

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Josef, J.A. December 1, 1997.

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Description

In this thesis the author has developed a simplified spherical harmonic method (SP{sub N} method) and associated efficient solution techniques for 2-D multigroup electron-photon transport calculations. The SP{sub N} method has never before been applied to charged-particle transport. He has performed a first time Fourier analysis of the source iteration scheme and the P{sub 1} diffusion synthetic acceleration (DSA) scheme applied to the 2-D SP{sub N} equations. The theoretical analyses indicate that the source iteration and P{sub 1} DSA schemes are as effective for the 2-D SP{sub N} equations as for the 1-D S{sub N} equations. In addition, he has applied an angular multigrid acceleration scheme, and computationally demonstrated that it performs as well as for the 2-D SP{sub N} equations as for the 1-D S{sub N} equations. It has previously been shown for 1-D S{sub N} calculations that this scheme is much more effective than the DSA scheme when scattering is highly forward-peaked. The author has investigated the applicability of the SP{sub N} approximation to two different physical classes of problems: satellite electronics shielding from geomagnetically trapped electrons, and electron beam problems.

Physical Description

120 p.

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INIS; OSTI as DE98001886

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  • Other Information: DN: Thesis submitted to Pennsylvania State Univ., University Park, PA (US); TH: Thesis (Ph.D.)

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  • Other: DE98001886
  • Report No.: LA--13402-T
  • Grant Number: W-7405-ENG-36
  • DOI: 10.2172/563320 | External Link
  • Office of Scientific & Technical Information Report Number: 563320
  • Archival Resource Key: ark:/67531/metadc696022

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Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • December 1, 1997

Added to The UNT Digital Library

  • Aug. 14, 2015, 8:43 a.m.

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  • Feb. 26, 2016, 5:41 p.m.

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Josef, J.A. A simplified spherical harmonic method for coupled electron-photon transport calculations, report, December 1, 1997; New Mexico. (digital.library.unt.edu/ark:/67531/metadc696022/: accessed October 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.