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

Abstract

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:

O2411.8

Mei Liquan . A SPECTRAL STREAMLINE DIFFUSION FINITE ELEMENT COUPLING METHOD OF UNSTEADY TRANSPORT EQUATION IN THE FIELD OF NEUTRON LOGGING. Applied Mathematics and Mechanics (English Edition), 1999, 20(7): 739-747.

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https://www.amm.shu.edu.cn/EN/Y1999/V20/I7/739

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

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