| 基于高阶双渐近透射边界的大坝-库水动力相互作用直接耦合分析模型 |
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| 引用本文： | 高毅超,徐艳杰,金峰,王翔.基于高阶双渐近透射边界的大坝-库水动力相互作用直接耦合分析模型[J].地球物理学报,2013,56(12):4189-4196. |
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| 作者姓名： | 高毅超 徐艳杰 金峰 王翔 |
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| 作者单位： | 1. 清华大学水沙科学与水利水电工程国家重点实验室, 北京 100084;2. 华侨大学土木工程学院, 厦门 361021;3. 长江勘测规划设计研究有限责任公司, 武汉 430010 |
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| 基金项目： | 水沙科学与水利水电工程国家重点实验室科研课题(2011-KY-3);国家自然科学基金(40974063,41274106)资助 |
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| 摘 要： | 高阶双渐近时域透射边界能够同时模拟行波和快衰波的传播，并且能够在全频范围内迅速逼近准确解，具有优良的收敛性能和计算效率.本文将动水压力波高阶双渐近透射边界直接嵌入到近场有限元方程中，建立了大坝-库水动力相互作用的直接耦合分析模型.该模型的整体控制方程保留了近场有限元方程系数矩阵对称稀疏的优势，可以方便地利用现有的通用有限元求解器求解.基于有限元开源软件框架体系OpenSees（Open System for Earthquake Engineering Simulation），编程实现了直接耦合分析模型，并将其应用于二维重力坝、三维拱坝与库水动力相互作用分析.数值算例表明，该直接耦合分析模型具有很高的精度和计算效率.
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| 关 键 词： | 动水压力 透射边界 双渐近 比例边界有限单元法 |
| 收稿时间： | 2013-06-06 |
The direct coupled model for dam-reservoir dynamic interaction analysis based on high-order doubly asymptotic open boundary |
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| GAO Yi-Chao,XU Yan-Jie,JIN Feng,WANG Xiang.The direct coupled model for dam-reservoir dynamic interaction analysis based on high-order doubly asymptotic open boundary[J].Chinese Journal of Geophysics,2013,56(12):4189-4196. |
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| Authors: | GAO Yi-Chao XU Yan-Jie JIN Feng WANG Xiang |
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| Institution: | 1. State Key Laboratory of Hydroscience and Hydraulic Engineering, Tsinghua University, Beijing 100084, China;2. Collage of Civil Engineering, Huaqiao University, Xiamen 361021, China;3. Changjiang Institute of Survey Planning Design and Research, Wuhan 430010, China |
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| Abstract: | The high-order doubly asymptotic boundary is capable of accurately approximating the unbounded domain over the entire frequency range. It converges to the exact solution quickly as its order increases and has high computational efficiency. Embedding the high-order asymptotic boundary directly into finite element scheme, a seamless coupled model for dam-reservoir dynamic interaction analysis is established. Similar to the finite element equation of the near field structure, the coefficient matrices of the direct coupled model are sparse and symmetric, and the governing equation can be solved using general finite element solver. Based on the finite element open source code OpenSees, the direct coupled model is implemented and applied to gravity dam-reservoir and arch dam-reservoir dynamic interaction analysis. Numerical results show that the proposed model has high computational accuracy and efficiency. |
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| Keywords: | Hydrodynamic pressure Transmitting boundary Doubly asymptotic Scaled boundary finite element method |
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