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KIAM Preprint № 91, Moscow, 1996
Authors: Voronkov A.V., Sychugova E. P.
The Linear Characteristic Method of Discrete Ordinates for Solving the Transport Equation in X-Y Geometry.
Abstract:
A new linear characteristic discrete ordinates LCDSN - method for solving the transport equation is proposed. The method is consider on example of two-dimensional X-Y geometry. This method is constructed taking account of decomposition of a cell into subdomains by characteristics leaving from their vertices. In each of subdomains a system of five equations is given, which consists of three exact balance relations and two additional. Linear and parabolic approximations of solution on the boundary of a cell are considered. This method is conservative and it has higher-order approximation then CDSN - method. The results of numerical experiments are presented for comparison with the CDSN, LD and LM - methods.
Publication language: russian
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Voronkov A. V.,  KIAM RAS
  • Sychugova E. P.,  KIAM RAS