| 等参数水均衡有限元法及与其它方法的比较 |
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| 引用本文： | 郭东屏.等参数水均衡有限元法及与其它方法的比较[J].地球科学与环境学报,1987(2). |
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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： | 本文按局部质量守恒原则,采用非线性基函数,导出了求解渗流问题的又一种数值法——等参数水均衡有限元法。在一般情况下,它克服了采用线性基函数的有限元方法的某些理论缺陷。与采用同样非线性基函数的等参数里茨有限元法或伽辽金有限元法相比,也具有物理意义明确、计算公式简单及易于接受使用等优点。
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| 关 键 词： | 渗流理论 水均衡原理 有限元法 线性基函数 非线性基函数 |
THE FINITE-ELEMENT METHOD IN THE WATER BALANCE WITH EQUAI PARAMETERS AND ITS COMPARISION WITH OTHER METHODS |
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| Guo Dongping.THE FINITE-ELEMENT METHOD IN THE WATER BALANCE WITH EQUAI PARAMETERS AND ITS COMPARISION WITH OTHER METHODS[J].Journal of Earth Sciences and Environment,1987(2). |
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| Authors: | Guo Dongping |
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| Institution: | Xi'an College of Geology |
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| Abstract: | Based on the principle of mass conservation and applying the no-linear fundament functions,this paper advances a numerical method for solving the seepage flow questionrthe finite-element method in the water balance with the equal parameters. In common cases this method surmountes some theoretical defects of the finite-element method in adoption of linear fundament functions. Compared with the Litz's or Colegin's finite-element methods,this new method possessess the following advantages:its physical meaning is definite,its calculation formula is simolc and easer to use. |
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| Keywords: | seepage flowtheory water balance finite-element method linear and non-linear fundament function |
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