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

Technical Report · Mon Dec 01 04:00:00 EST 1997

DOI:https://doi.org/10.2172/563320· OSTI ID:563320

Josef, J A

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.

• Research Organization: Los Alamos National Lab., NM (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 563320
• Report Number(s): LA--13402-T; ON: DE98001886
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHARGED-PARTICLE TRANSPORT
MESH GENERATION
PHOTON TRANSPORT
SPHERICAL HARMONICS METHOD
THEORETICAL DATA
TWO-DIMENSIONAL CALCULATIONS
USES