Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (7): 739-747.

• Article • Previous Articles     Next Articles

A SPECTRAL STREAMLINE DIFFUSION FINITE ELEMENT COUPLING METHOD OF UNSTEADY TRANSPORT EQUATION IN THE FIELD OF NEUTRON LOGGING

Mei Liquan   

  1. College of Science, Xi'an Jiaotong University, Xi'an 710049, P. R. China
  • Received:1998-01-06 Revised:1999-03-21 Online:1999-07-18 Published:1999-07-18
  • Supported by:

    the National Natural Science Foundation of China (19671067)

Abstract: In this paper, a new numerical method, the coupling method of spherical harmonic function spectral and streamline diffusion finite element for unsteady Boltzmann equation in the neutron logging field, is discussed. The convergence and error estimations of this scheme are proved. Its applications in the field of neutron logging show its effectiveness.

Key words: composite material, cylindrical shell, dynamic stability, ARALL shell, neutron logging, transport equation, finite element method, streamline diffusion

2010 MSC Number: 

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