中子测井问题中非定常输运方程的谱流线扩散有限元耦合方法

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 国家自然科学基金资助项目(19671067)

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

摘要: 针对中子测井问题,研究非定常Boltamann中子输运方程的确定型数值求解方法,给出了求解Boltzmann方程的球谐函数展开和流线扩散有限元耦合方法,证明了这种耦合方法的收敛性和误差估计。实际算例表明此方法是有效的。
- 中子测井 /
- 输运方程 /
- 有限元 /
- 流线扩散
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

[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.

点击查看大图