| 解流体动力弥散问题的等参数溶质质量均衡有限元法 |
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| 引用本文： | 郭东屏.解流体动力弥散问题的等参数溶质质量均衡有限元法[J].地球科学与环境学报,1988(3). |
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| 作者姓名： | 郭东屏 |
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| 基金项目： | 国家自然科学基金会资助项目 |
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| 摘 要： | 本文根据流体动力弥散理论,按照地下水中溶质局部质量守恒原理,采用非线性基函数,导出了求解流体动力弥散问题的一种新的数值法,即等参数溶质质量均衡有限元法。该法与采用同样非线性基函数的等参数里茨(Ritz)法或伽辽全法相比,具有物理意义明确、能准确反映局部质量均衡关系、计算公式简单和易于应用等优点。
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| 关 键 词： | 流体动力弥散理论 溶质质量守恒原理 有限元法 非线性基函数 |
FINITE-ELEMENT METHOD OF SOLUTE QUALITY BALANCE WITH EQUAL PARAMETERS FOR THE SOLUTION TO THE PROBLEM ON FLUID DYNAMIC DISPERSION |
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| Guo Dongping.FINITE-ELEMENT METHOD OF SOLUTE QUALITY BALANCE WITH EQUAL PARAMETERS FOR THE SOLUTION TO THE PROBLEM ON FLUID DYNAMIC DISPERSION[J].Journal of Earth Sciences and Environment,1988(3). |
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| Authors: | Guo Dongping |
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| Institution: | Xi'an College of Geology |
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| Abstract: | According to the theory on the fluid dynamic dispersion, based on the
principle of the part mass conservation of the solute in groundwater, this paper advanced a new numerical method for solving the problem on fluid dynamic dispersion by applying the nonlinear fundament functions, i.e. the finite-element method of the solute quality balance with equal parameters.Compared with the Ritz's or Calegin's methods applying the same nonlinear fundament functions with epual parameters,this method has the following advantages: its physical meaning is definite; the part mass balance relationship can be reflected exactly by using it| is calcutation formulas arc simple and easy to use. |
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| Keywords: | theory on fluid dynamic dispersion principle of solute mass conservation finite-element method nonlinear fundament function |
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