基于ALE的大型输水隧道地震动响应并行数值分析

PARALLEL NUMERICAL SIMULATION FOR DYNAMIC RESPONSE OF LARGE-SCALE WATER CONVEYANCE TUNNEL UNDER SEISMIC EXCITATION BASED ON ALE METHOD

  • 摘要: 提出基于ALE (Arbitrary Lagrangian-Eulerian)方法的输水隧道地震动响应并行数值分析方法,采用ALE方法模拟内水和隧道的相互作用,提出基于耦合负载均衡的并行计算方法加快求解速度,采用显式中心差分法完成方程求解。针对某大型输水隧道,建立内水-隧道-土体耦合的全三维数值模型,分析其在非一致地震激励下的动力响应。模型中考虑材料非线性、接触及流固耦合非线性等实际情况,并采用PML (Perfectly Matched Layer)建立人工边界模拟无限区域。在曙光5000A超级计算机上,利用所提方法,完成该大规模非线性问题的求解。通过与附加质量法对比,验证ALE方法模拟内水-隧道耦合的可行性;分析输水隧道地震激励下的应力及变形情况;讨论内水量及变形缝对隧道动力响应的影响;分析并行计算效率。结果表明:环向应力较大值出现在靠近工作井的截面,隧道结构满足强度要求;隧道截面变形量处于安全范围内;满水隧道较空隧道承受更大应力;变形缝可以降低隧道的动力响应;所提并行计算方法可以获得较好的并行效率。

     

    Abstract: Parallel numerical simulation method for dynamic responses of water conveyance tunnel under seismic excitation is proposed based on ALE (Arbitrary Lagrangian-Eulerian) approach. The ALE is used to deal with the interaction between the inner water and tunnel linings. The proposed coupling load balancing parallel algorithm is applied to accelerate the calculation procedure. The equations are solved using explicit central difference method. For a large-scale water conveyance tunnel, a full three-dimensional water-tunnel-soil coupling simulation model is established and the dynamic responses under non-uniform seismic excitation are analyzed. The actual conditions such as the nonlinear material properties and the nonlinearity of contact and fluid-structure interaction are taken into account. PML (Perfectly Matched Layer) is used to establish the artificial boundaries to represent the infinite domains. This large-scale nonlinear problem is solved on Dawning 5000A supercomputer by using the proposed method. The feasibility for the simulation of the water-tunnel interaction using ALE method is verified through the comparison with the added mass method. The stress and deformation of the water conveyance tunnel under seismic excitation are analyzed. The influences of the inner water and flexible joints on the tunnel's dynamic responses are discussed. The results show that the maximum hoop stress appears at the cross section near the work shaft and the tunnel fulfills the strength requirements. The oval deformation of the tunnel is within the safe range. The tunnel with full inner water bears larger stresses and the flexible joints can reduce the dynamic responses of the tunnel. The proposed parallel method shows better parallel efficiency.

     

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