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A 3-D FEM NUMERICAL ITERATIVE METHOD OF SATURATED-UNSATURATED UNSTEADY SEEPAGE

机译:饱和-非饱和渗流的三维有限元数值迭代方法

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摘要

A 3-D FEM analysis numerical simulation method of saturated-unsaturated unsteady seepage is presented. Before computation, the time steps were divided by a split-step weighting method. During each step, the unsteady seepage and its free surface were calculated according to overlapping iterative FEM numerical method. In each iteration step, discharge were calculated to handle overflow boundary based on a virtual work equation, and the relative permeability coefficients of all Guass integral points were amended according to pressure heads of them, simultaneously coefficient matrix and right polynomial of iterative equation were amended by the pressure heads computed in this iteration calculation. This iteration method accelerates the computation speed and enhances the accuracy and the stability of iteration computation. A 3-D FEM program for saturated-unsaturated unsteady seepage compiled by Fortran was used to simulate the seepage field of a sand trap model. The simulation results show that this 3-D FEM analysis numerical simulation method is quite effective. These simulation results are close to the monitoring results. This iterative method greatly improves the saturated-unsaturated unsteady seepage analysis and hence provides an effective method for the 3-D FEM analysis numerical simulation of the saturated-unsaturated unsteady seepage.
机译:提出了饱和-非饱和非恒定渗流的三维有限元分析数值模拟方法。在计算之前,将时间步长通过分步加权方法进行划分。在每个步骤中,根据重叠的迭代有限元数值方法,计算了非稳态渗流及其自由表面。在每个迭代步骤中,基于虚拟功方程计算流量以处理溢流边界,并根据各个Guass积分点的压头修正其相对渗透率系数,同时对迭代方程的系数矩阵和右多项式进行修正在此迭代计算中计算出的压头。这种迭代方法加快了计算速度,提高了迭代计算的准确性和稳定性。使用Fortran编译的用于饱和-非饱和非稳态渗流的3-D FEM程序来模拟沙池模型的渗流场。仿真结果表明,这种3-D FEM分析数值模拟方法是有效的。这些模拟结果接近于监视结果。该迭代方法大大改善了饱和-非饱和非稳态渗流分析,从而为饱和-非饱和非稳态渗流的3-D FEM分析数值模拟提供了一种有效的方法。

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  • 会议地点 Nanjing(CN)
  • 作者单位

    XIAO MING@The State's Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University Wuhan 430072,Hubei,China--NI SHAOHU@The State's Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University Wuhan 430072,Hubei,China--ZHANG WEI@The State's Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University Wuhan 430072,Hubei,China--;

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