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A symmetric time-domain model for 3D dam-reservoir interaction including radiation damping

机译：包含辐射阻尼的3D大坝与水库相互作用的对称时域模型

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In this paper a new strategy for the description of a 3D dam-reservoir system in the time-domain is proposed. Here, the structure and a finite part of the reservoir of arbitrary geometry and foundation are treated using standard finite elements. In doing so, nonlinearities can be included. Radiation damping is taken into account accurately by means of an adjacent semi-infinite fluid channel. The key step of the method is the novel treatment of this unbounded part of the system. Based on a semi-discretization of the latter a frequency-dependent modal stiffness coefficient relating the pressure at the fluid-fluid interface to the corresponding flux can be derived analytically. A rational approximation and algebraic splitting procedure enable the transformation of this spectral stiffness relationship into the time-domain. A set of first-order differential equations to represent the semi-infinite fluid channel is obtained which can be coupled to the equations of motion of the bounded part of the system. The complete dam-reservoir system is finally described by a symmetric set of second-order differential equations replacing the pressure by new state variables.
机译：本文提出了一种在时域描述3D水库系统的新策略。在此，使用标准有限元处理任意几何结构和地基的结构以及储层的有限部分。这样做可以包括非线性。通过相邻的半无限流体通道可以精确地考虑辐射衰减。该方法的关键步骤是对该系统这一无边界部分的新颖处理。基于后者的半离散，可以解析地得出将流体-流体界面处的压力与相应通量相关联的频率相关的模态刚度系数。合理的近似和代数分裂过程可以将这种光谱刚度关系转换为时域。获得了一组代表半无限流体通道的一阶微分方程，这些方程可以与系统有界部分的运动方程耦合。最终，通过对称的二阶微分方程组描述了完整的大坝-水库系统，并用新的状态变量代替了压力。

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