A Spectral Streamline Diffusion Finite Element Coupled Method of Unsteady Transport Equation in the Field of Neutron Logging

Mei Liquan

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(7): 691-698

Mei Liquan. A Spectral Streamline Diffusion Finite Element Coupled Method of Unsteady Transport Equation in the Field of Neutron Logging[J]. Applied Mathematics and Mechanics, 1999, 20(7): 691-698.

Citation:

Mei Liquan. A Spectral Streamline Diffusion Finite Element Coupled Method of Unsteady Transport Equation in the Field of Neutron Logging[J]. Applied Mathematics and Mechanics, 1999, 20(7): 691-698.

Citation:

Mei Liquan. A Spectral Streamline Diffusion Finite Element Coupled Method of Unsteady Transport Equation in the Field of Neutron Logging[J]. Applied Mathematics and Mechanics, 1999, 20(7): 691-698.

PDF( 2341 KB)

A Spectral Streamline Diffusion Finite Element Coupled 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 Date: 1998-01-06
Rev Recd Date: 1999-03-21
Publish Date: 1999-07-15

Abstract

Abstract

In this paper,a new numerical method,the coupling method of spherical harmonic function spectral and streamline diffusion finite element method for unsteady Boltzmann equation in the neutron logging field is discussed,and the convegrence and error estimations of this scheme are proved.It.s applications in the field of neutron logging show it.s effectiveness.
- neutron logging,
- transport equation,
- finite element method,
- streamline diffusion

FullText(HTML)

References(7)

References

[1]	Ullo John J. Use of multidimensional transport methodology on nuclear logging problems[J]. Nucl Sci and Engi,1986,92(2):228～239.
[2]	Larson E. Diffusion-synthetic methods for discrete ordinates equation[A].Proc Topl Mtg Advances on in Reactor Computations[C]. Vol 2.Salt Lake City Utah: American Nuclear Society, March 28-31,1983,705.
[3]	Lawrence R D, Dorning J J. A discrete nodal integral transport theory method for multidimensional reactor physics and shielding computations[A].Proc Conf 1980 Advances in Reactor Physics and Shielding[C].Sun Valley, September 14-19,1980,Idaho:American Nuclear Society, 1980,840.
[4]	张金涛等.有限元方法在中子测井数值模拟中的应用[J].计算物理,1996,13(1):7～13.
[5]	Canuto C, Quarteroni A. Approximate results for orthogonal polynomials in Sobolev spaces[J].Math Comp,1982,38(1):67～86.
[6]	李开泰,黄艾香,黄庆怀.有限元方法及其应用(修订本)[M]. 西安:西安交通大学出版社,1992.
[7]	梅立泉.中子测井问题谱有限元方法[D]. 博士论文. 西安:西安交通大学,1997.