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裂隙岩石介质中核素迁移的模型及其算子分裂、迎风、均衡格式
引用本文:杨天行,王运国,姚磊华,谢运棉,张永兴,修炳林.裂隙岩石介质中核素迁移的模型及其算子分裂、迎风、均衡格式[J].吉林大学学报(地球科学版),1991(3).
作者姓名:杨天行  王运国  姚磊华  谢运棉  张永兴  修炳林
作者单位:长春地质学院 (杨天行,王运国,姚磊华),中国原子能研究院 (谢运棉,张永兴),中国原子能研究院(修炳林)
摘    要:建立了放射性核素在裂隙岩石介质中迁移的双重介质模型,对模型的求解提出了一种新的数值方法—Galerkin有限元法与算子分裂、迎风、均衡格式相结合的新方法,给出了水质模型算子分裂、迎风、均衡格式的稳定性条件,且所得到的计算格式是非负的。最后通过对核素90Sr 100年、99Tc 1000年的预测计算,验证了本文所提方法的有效性和稳定性,并得出了一些有重要意义的结论。

关 键 词:核素迁移  双重介质模型  迎风  计算格式

THE TRANSPORTING MODEL OF NUCLIDE IN FRACTURED ROCK MEDIA AND ITS OPERATOR SPLITING UPWIND AND BALANCE SCHEME
Yang Tianxing Wang Yunguo Yao Leihua.THE TRANSPORTING MODEL OF NUCLIDE IN FRACTURED ROCK MEDIA AND ITS OPERATOR SPLITING UPWIND AND BALANCE SCHEME[J].Journal of Jilin Unviersity:Earth Science Edition,1991(3).
Authors:Yang Tianxing Wang Yunguo Yao Leihua
Abstract:In this paper, dual media models of radioactive nuclide in fractured rock media are set. A new numerical method for solving the models is presented. That is the combination of Galerkin finite element method with operator splitting-upwind-balance scheme. Stable conditions of operator splitting-upwind-balance scheme of quality models are given. And the calculation scheme that obtained is nonnegative. In the end,through the predicted calculation of 100 years nuclide 90Sr and 1000 years nuclide 99Tc, the effectiveness and stableness of the method presented in this paper are tested and verified. Some significant results are obtained.
Keywords:nuclide transport  dual media model  upwind  calculation scheme
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