贮量集中有限元方法在渗流计算中的优点
THE SUPERIORITY OF STORAGE-CENTERED FINITE ELEMENT METHOD IN SOLVING SEEPAGE PROBLEM
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摘要: 普通有限元方法和有限差分方法是渗流计算中常用的数值方法,而贮量集中有限元方法则很少被实际应用。为了使渗流计算者全面了解贮量集中有限元方法,并能够较多地应用这种方法,本文将渗流计算中的贮量集中有限元方法、普通有限元方法和有限差分方法进行了对比,具体比较和分析了有限元方程组的系数矩阵特征、计算工作量,通过具体的算例分析了它们的计算精度,由此指出:贮量集中有限元方法的计算精度与有限差分法基本相同,而远好于普通有限元法,它的计算工作量小于其他二种方法Abstract: Ordinary finite element and finite difference methods are often used for seepage calculation,while storage-centered finite element method is rarely applied to practice.To enable the calculators to understand the storage-centered finite element method completely and use it more,the difference between the three numerical methods used for seepage calculation are compared and analyzed in the respects of coefficient matrix character of the equations,calculating accuracy are shown by two instances. Therefore calculating accuracy of storage-centered finite element method is the same as finite difference method and far better than ordinary finite element method and its calculating quantity is the less than the that of other 2 methods.