输运方程谱有限元耦合方法及其在核工业中的应用

The Coupling Method of Spectral and Finite Element Method for Transport Equation and its Application in Nuclear Industry

本文研究求解Boltzmann方程的谱有限元耦合方法,给出了求解输运方程的谱标准Galerkin有限元、谱流线扩散有限元、谱间断有限元耦合格式.研究这些格式的收敛性。

In this paper,some new coupling methods of spectral and finite element method solving transport equation are discussed.we give the spectral and standard Galerkin finite element method、spectral and streamline diffusion finite element method and spectral discontinuous finite element method to solve transport equation.Then the convergence of these schemes are detailed.