标题:
基于指数变换的瞬态扩散方程求解方法研究Study on the Transient Neutron Diffusion Equation Solving Method Based on Exponential Transform
作者:
庞博, 赵强, 郝琛, 宇炎
关键字:
中子时空动力学, 指数变换, 时间积分法, 共轭平方法Neuron Kinetics Model, Exponential Transform, Time Integration Method, Conjugate Gradient Squared Method
期刊名称:
《Nuclear Science and Technology》, Vol.4 No.2, 2016-04-27
摘要:
本文重点研究了基于指数变换的瞬态扩散方程求解方法，时间上采用指数变换减弱刚性问题的影响，并采用时间积分法提高计算精度。几何上采取细网有限差分以提高计算精度，并且采用平方共轭梯度法进行最后的方程组求解。本文基于上述方法开发了三维多群中子时空动力学计算程序。
Transient diffusion equation solution method based on exponential transform is studied mainly. Time integral aspect exponential transform weakens the influence of the stiff problem, and the time integration method is used to improve calculation accuracy. Fine mesh finite difference method is taken to improve the geometry calculation accuracy, and conjugate gradient squared method is used for solving final equations. Based on the above methods, multi-group neutron kinetics model calculation program is developed.