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Title: Finite Element in Angle Unit Sphere Meshing for Charged Particle Transport.

Technical Report ·
DOI:https://doi.org/10.2172/1401940· OSTI ID:1401940
 [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Finite element in angle formulations of the charged particle transport equation require the discretization of the unit sphere. In Sceptre, a three-dimensional surface mesh of a sphere is transformed into a two-dimensional mesh. Projection of a sphere onto a two-dimensional surface is well studied with map makers spending the last few centuries attempting to create maps that preserve proportion and area. Using these techniques, various meshing schemes for the unit sphere were investigated.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Science (NA-113)
DOE Contract Number:
AC04-94AL85000
OSTI ID:
1401940
Report Number(s):
SAND2017-11126R; 657820
Country of Publication:
United States
Language:
English