| 输运方程的一种 Galerkin 变分问题 |
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| 引用本文： | 石瑞民.输运方程的一种 Galerkin 变分问题[J].陕西理工学院学报(自然科学版),1997(4). |
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| 作者姓名： | 石瑞民 |
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| 作者单位： | 陕西工学院基础课部 |
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| 摘 要： | Ｂｏｌｔｚｍａｎｎ输运方程在核工程领域，核测井方面均有广泛应用，但在实际应用中精确求解这一方程很困难。本文利用谱方法、差分法和变分原理的结合给出了非稳态Ｂｏｌｔｚｍａｎｎ方程的一种Ｇａｌｅｒｋｉｎ变分问题，证明了变分问题解的存在唯一性。
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| 关 键 词： | 输运方程 角通量 变分问题 有限元方法 |
A Galerkin Varitional Problem of the Transport Equation |
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| Shi,Ruimin.A Galerkin Varitional Problem of the Transport Equation[J].Journal of Shananxi University of Technology:Natural Science Edition,1997(4). |
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| Authors: | Shi Ruimin |
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| Institution: | Dept.of B.C.of Shaanxi Institute of Technology |
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| Abstract: | Boltzmann equation has been widely used in the fields of nuclear engineering and nuclear well-logging.But in practice,it is difficult to solve the equation accurately.This paper presents a Galerkin variational problem of the nonstationary Boltzmann equation by using spectrum method,difference method and variational principle.The uniqueness of the solution of the variational problem is solved. |
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| Keywords: | Transport equation Angular flux Variational problem Finite-element method |
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