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| Exact numerical integrals on free surface boundary of 3D unsteady seepage problem |
| Received:January 04, 2014 Revised:May 06, 2014 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201502017 |
| KeyWord:3D unsteady seepage free surface initial flow method Gaussian numerical integration fixed mesh |
| Author | Institution |
| 潘树来 |
华侨大学 土木工程学院, 厦门 |
| 王全凤 |
华侨大学 土木工程学院, 厦门 ;华侨大学 厦门工学院, 厦门 |
| 俞缙 |
华侨大学 土木工程学院, 厦门 ;中国矿业大学 深部岩土力学与地下工程国家重点实验室, 徐州 |
| 蔡燕燕 |
华侨大学 土木工程学院, 厦门 |
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| Abstract: |
| When using the fixed mesh method in analysis of 3D unsteady seepage problem, one will face 2 difficult integral problems:the spacial integral with free surface and the element surface as the boundary and the curve surface integral with free surface as the boundary.Against the common and randomly used three-dimensional 8-nodes 6-planes ordinary element, it is proposed that an exact numerical solution of space integral can be obtained by using the technology of coordinate and isoparametric transformations.With regard to the curve surface integral, it suggested to switch using that part of element surface in unsaturated zone as the integral boundary, and then through working for the integral boundary with the coordinate and isoparametric transformations, an exact numerical solution to the curve surface integral can be obtained by using Gaussian numerical integration.The analysis of a common element and a practical example of a dam under a homogeneous semi-infinite boundary can illustrate a rather good accuracy and stability of this method. |
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