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Finite Element Analysis of Dam-Reservoir Interaction Using High-Order Doubly Asymptotic Open Boundary

机译：基于高阶双渐近开放边界的大坝与水库相互作用有限元分析

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摘要

The dam-reservoir system is divided into the near field modeled by the finite element method, and the far field modeled by the excellent high-order doubly asymptotic open boundary (DAOB). Direct and partitioned coupled methods are developed for the analysis of dam-reservoir system. In the direct coupled method, a symmetric monolithic governing equation is formulated by incorporating the DAOB with the finite element equation and solved using the standard time-integration methods. In contrast, the near-field finite element equation and the far-field DAOB condition are separately solved in the partitioned coupled methodm, and coupling is achieved by applying the interaction force on the truncated boundary. To improve its numerical stability and accuracy, an iteration strategy is employed to obtain the solution of each step. Both coupled methods are implemented on the open-source finite element code OpenSees. Numerical examples are employed to demonstrate the performance of these two proposed methods.
机译：大坝-水库系统分为用有限元法模拟的近场和用优良的高阶双渐近开放边界（DAOB）建模的远场。开发了直接和分区耦合的方法来分析水库系统。在直接耦合方法中，通过将DAOB与有限元方程式结合来建立对称的整体控制方程式，并使用标准时间积分方法进行求解。相反，在分区耦合方法中分别求解了近场有限元方程和远场DAOB条件，并通过在截断边界上施加相互作用力来实现耦合。为了提高其数值稳定性和准确性，采用迭代策略来获取每个步骤的解。两种耦合方法都在开源有限元代码OpenSees上实现。数值例子用来证明这两种方法的性能。

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  • 来源
    《Mathematical Problems in Engineering》 |2011年第2期|p.1-23|共23页
  • 作者

    Yichao Gao; Feng Jin; Xiang Wang; Jinting Wang;

  • 作者单位

    State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China;

    State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China;

    Changjiang Institute of Survey, Planning, Design, and Research, Wuhan 430010, China;

    State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China;

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