CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2005, Vol. 22 ›› Issue (3): 271-276.

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Double-Gauss Quadrature for Discrete Ordinate Transport Equations with Cylindrical Geometry

ZHU Rui-dong1, LI Mao-sheng2   

  1. 1. Beijing Department of Graduate School, China Academy of Engineering Physics, Beijing 100088, China;
    2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2004-02-24 Revised:2004-08-16 Online:2005-05-25 Published:2005-05-25

Abstract: An accurate angular quadrature is developed with cylindrical symmetry in transport equations. The most appropriate quadrature for polar angles is the Double-Gauss and for azimuthal angles is the Chebyshev-Gauss in cylindrical geometry. Numerical comparisons of quadratures on two standard problems are shown. They suggest that the new quadrature proves competitive for transport problems both in reducing ray effects and in improving accuracy.

Key words: discrete ordinate methods, double-Gauss quadrature

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