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。
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.
出处
《应用数学和力学》
CSCD
北大核心
1999年第7期691-698,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金
关键词
中子测井
有限元
非定常输运方程
neutron logging
transport equation
finite element method
streamline diffusion