| 求解对流占优地下水水质模型的有限元高精度广义迎风单元均衡格式及应用 |
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| 引用本文： | 杨天行,刘金英,王运国,姚磊华,彭泽洲.求解对流占优地下水水质模型的有限元高精度广义迎风单元均衡格式及应用[J].吉林大学学报(地球科学版),1996(2). |
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| 作者姓名： | 杨天行 刘金英 王运国 姚磊华 彭泽洲 |
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| 作者单位： | 长春地质学院，国家地震局地质所，江西省地矿局 |
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| 摘 要： | 根据水质模型的具体特点，对不同的方程采用不同方法，水流问题用有限元法；对流弥散方程先用算子分裂的方法分解为两个方程，即对流方程和弥散方程，前者用高精度广义迎风格式求解，对弥散方程则采用多单元均衡格式法求解，最后合成为高精度广义迎风均衡格式求出溶质浓度。通过对数值实验例子的计算和实验溶质迁移的模拟，可以看出在求解对流弥散定解问题时，广义迎风均衡格式克服了有限元数值波动和浓度出现负值的问题，与有限元相比有较大改进。
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| 关 键 词： | 水质模型，高精度广义迎风格式，单元均衡格式，有限元 |
FEM HIGH ACCURACY GENERALIZED UPWIND SCHEME ANDMULTIPLE ELEMENT BALANCE SCHEME FOR SOLVING GROUNDWATER QUALITY MODELS |
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| Yang Tianxing, Liu Jingying, Wang Yunguo.FEM HIGH ACCURACY GENERALIZED UPWIND SCHEME ANDMULTIPLE ELEMENT BALANCE SCHEME FOR SOLVING GROUNDWATER QUALITY MODELS[J].Journal of Jilin Unviersity:Earth Science Edition,1996(2). |
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| Authors: | Yang Tianxing Liu Jingying Wang Yunguo |
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| Abstract: | In this paper,a new numerical method for solving ground water quality models is presented. The method is a combination of the Galerkin FEM with the high accuracy generalized upwindbalance scheme. As for the problems when convection is dominant, this new method has over come the defects of the negative concentration and numerical fluctuation wmich the finite element method or other numerical methads are unable to solve. The unmerical method has been verified and compared by the numerical example,and is applied to simulating and predicting the varition law of the total hardness in the arst aquifer of Jinan city. Satisfactory results and some other significat and valuable condusions are obtaine from stuies |
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| Keywords: | groundwater quality model high accuracy generalied upwind scheme multiple-element balance scheme FEM |
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