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, Vol. 20 ›› Issue (7): 739-747.

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

梅立泉

College of Science, Xi'an Jiaotong University, Xi'an 710049, P. R. China

收稿日期:1998-01-06 修回日期:1999-03-21 出版日期:1999-07-18 发布日期:1999-07-18
基金资助:
the National Natural Science Foundation of China (19671067)

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

Mei Liquan

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)

摘要/Abstract

摘要： 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.

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

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

中图分类号:

O2411.8

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

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

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

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

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