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

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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

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