基于总势能极小原理的渗流溢出点位置计算方法
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摘要
在考虑渗流影响的工程中,自由面的计算是渗流计算的主要内容,精确确定溢出点位置是准确计算自由面的关键。基于总势能极小原理的渗流溢出点位置计算方法,是在溢出点位置调整的过程中,通过寻找全域总势能的极小值确定溢出点位置的一种方法。通过算例分析,得出如下结论:基于总势能极小原理的渗流溢出点位置计算方法弥补了先前溢出点计算方法精度低、需迭代计算、不易收敛的缺点,精确、高效地计算出溢出点位置。
In engineering that needs to consider the effect of seepage,determining the overflow point precisely is the key to the calculation of free surface,which is the main content of seepage calculation. Based on the principle of minimum total potential energy to calculate the overflow point is a method that the location of overflow point is determined through calculating the minimum of global total potential energy by adjusting its position. Example analysis showed that this method can calculate the location of overflow point precisely and efficiently,which overcomes the shortcomings of previous methods such as low accuracy,requiring iterative calculation and difficult to converge.
In engineering that needs to consider the effect of seepage,determining the overflow point precisely is the key to the calculation of free surface,which is the main content of seepage calculation. Based on the principle of minimum total potential energy to calculate the overflow point is a method that the location of overflow point is determined through calculating the minimum of global total potential energy by adjusting its position. Example analysis showed that this method can calculate the location of overflow point precisely and efficiently,which overcomes the shortcomings of previous methods such as low accuracy,requiring iterative calculation and difficult to converge.
引文
[1]刘娟奇,王志强,梁收运.库水位下降对新集水库均质土坝渗流及稳定性影响分析[J].水利与建筑工程学报,2014,12(6):38-43.
[2]位俊俊,张利伟,孔德志.基坑渗流稳定分析[J].水利与建筑工程学报,2012,10(3):79-87.
[3]Darbani M,Ouahsine A,Villon P,et al.Meshless method for shallow water equations with free surface flow[J].Applied Mathematics and Computation,2011,217(11):5113-5124.
[4]Jie Y X,Liu W J,Li G X.Application of NEM in seepage analysis with a free surface[J].Mathematics and Computers in Simulation,2013,89(2):23-37.
[5]Tang Jing,Liu Yongbiao.Penalty function element free method to solve complex seepage field of earth fill dam[J].IERI Procedia,2012(1):117-123.
[6]吴梦喜,张雪勤.有自由面渗流分析的虚单元法[J].水利学报,1994(8):67-71.
[7]凌道盛.有自由面渗流分析的虚节点法[J].浙江大学学报(工学版),2002,36(3):243-246.
[8]崔皓东,朱岳明.有自由面渗流分析的改进节点虚流量全域迭代法[J].武汉理工大学学报(交通科学与工程版),2009,33(2):238-241.
[9]张有天,陈平,王镭.有自由面渗流分析的初流量法[J].水利学报,1988(8):18-26.
[10]王媛.求解有自由面渗流问题的初流量法的改进[J].水利学报,1998(3):68-73.
[11]潘树来,王全凤,俞缙.利用初流量法分析有自由面渗流问题之改进[J].岩土工程学报,2012,34(2):202-209.
[12]王贤能.有自由面渗流分析的高斯点法[J].水文地质工程地质,1997(6):1-4.
[13]朱军,刘光廷.改进的单元渗透矩阵调整法求解无压渗流场[J].水利学报,2001(8):49-52.
[14]黄蔚,刘迎曦,周承芳.三维无压渗流场的有限元算法研究[J].水利学报,2001(6):33-36.
[15]梁业国,熊文林,周创兵.有自由面渗流分析的子单元法[J].水利学报,1997(8):34-38.
[16]王均星,吴雅峰,白呈富.有自由面渗流分析的流行单元法[J].水电能源科学,2003,21(4):23-26.
[17]毛昶熙,段祥宝,李祖贻,等.渗流数值计算与程序应用[M].南京:河海大学出版社,1999.
[18]谢国海,章广成.二维无压稳定渗流分析的改进方法[J].地球与环境,2005,33(S1):52-56.
[19]张宜虎.采用等效渗透系数法搜索渗流自由面[J].工程地质学报,2004,12(2):177-192.
[2]位俊俊,张利伟,孔德志.基坑渗流稳定分析[J].水利与建筑工程学报,2012,10(3):79-87.
[3]Darbani M,Ouahsine A,Villon P,et al.Meshless method for shallow water equations with free surface flow[J].Applied Mathematics and Computation,2011,217(11):5113-5124.
[4]Jie Y X,Liu W J,Li G X.Application of NEM in seepage analysis with a free surface[J].Mathematics and Computers in Simulation,2013,89(2):23-37.
[5]Tang Jing,Liu Yongbiao.Penalty function element free method to solve complex seepage field of earth fill dam[J].IERI Procedia,2012(1):117-123.
[6]吴梦喜,张雪勤.有自由面渗流分析的虚单元法[J].水利学报,1994(8):67-71.
[7]凌道盛.有自由面渗流分析的虚节点法[J].浙江大学学报(工学版),2002,36(3):243-246.
[8]崔皓东,朱岳明.有自由面渗流分析的改进节点虚流量全域迭代法[J].武汉理工大学学报(交通科学与工程版),2009,33(2):238-241.
[9]张有天,陈平,王镭.有自由面渗流分析的初流量法[J].水利学报,1988(8):18-26.
[10]王媛.求解有自由面渗流问题的初流量法的改进[J].水利学报,1998(3):68-73.
[11]潘树来,王全凤,俞缙.利用初流量法分析有自由面渗流问题之改进[J].岩土工程学报,2012,34(2):202-209.
[12]王贤能.有自由面渗流分析的高斯点法[J].水文地质工程地质,1997(6):1-4.
[13]朱军,刘光廷.改进的单元渗透矩阵调整法求解无压渗流场[J].水利学报,2001(8):49-52.
[14]黄蔚,刘迎曦,周承芳.三维无压渗流场的有限元算法研究[J].水利学报,2001(6):33-36.
[15]梁业国,熊文林,周创兵.有自由面渗流分析的子单元法[J].水利学报,1997(8):34-38.
[16]王均星,吴雅峰,白呈富.有自由面渗流分析的流行单元法[J].水电能源科学,2003,21(4):23-26.
[17]毛昶熙,段祥宝,李祖贻,等.渗流数值计算与程序应用[M].南京:河海大学出版社,1999.
[18]谢国海,章广成.二维无压稳定渗流分析的改进方法[J].地球与环境,2005,33(S1):52-56.
[19]张宜虎.采用等效渗透系数法搜索渗流自由面[J].工程地质学报,2004,12(2):177-192.