NE Seminars

Thursday, April 17, 2003

• Roberto Garcia, Adjunct Researcher Aerospace Technical Center, Institute of Advanced Studies (CTA/IEAv), Sao Jose dos Campos, Brazil
• ``A Method for Computing Collision, Escape and
  Transmission Probabilities in Three Dimensions"
• Abstract:
  
  A numerical method for computing first-flight collision, escape, and transmission probabilities in three dimensions will be described. The method consists in subdividing the domain under study into parts called "elements", and assuming, as an approximation, that the interaction between a source and a sink element takes place only along the path that joins their centers of mass. The calculation is repeated with the number of elements increased successively and Richardson extrapolation to infinite number of elements applied to the sequence of results, until convergence in the required probabilities is obtained. A simple application to the one-group criticality problem for a homogeneous cube and directions for our continuing research on this topic will be discussed.

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