Development of a Simulation System for Estimating the Impact Force of Tsunami Drift Using the Explicit MPS Method

Y. Aida, T. Ikoma, K. Masuda
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Abstract

When a large-scale tsunami occurs, structures in the coastal area will be destroyed by the impact of tsunami drifts. In the design of tsunami evacuation facilities and petroleum complexes, it is necessary to estimate the impact force of tsunami drift, which varies in size, shape and mass. Although some design equations have been proposed to estimate the impact force of tsunami drift, the impact force varies depending on various conditions such as the draft of the tsunami drifts, the attitude of the collision, the condition of the surrounding flow field, and the rigidity of the structure, etc. No reasonable design equation has been developed yet to meet all these conditions. Therefore, it is necessary to estimate the impact force of tsunami drift by water tank experiments and numerical simulations. In order to simulate the impact of a tsunami drift on a structure by numerical simulation, it is necessary to solve the coupling of fluid, floating object and structure. In this study, we have developed a simulation system that can simulate the impact force of a tsunami drift with the MPS method, which is a kind of particle method. This simulation system introduces an explicit method for pressure calculation, which allows for relatively large scale numerical calculations. In addition, the system is able to reproduce the deformation of structures as an elastic body due to the impact of tsunami drift. In particular, we have introduced an analytical method that allows us to set the computational time step that satisfy the CFL conditions for elastic and fluid particles, respectively, for stable simulation even when there is a large difference between the velocity of fluid particles and the velocity of structural particles caused by elastic waves. As a result of the comparison of the impact force on the cantilevered beam of the tsunami drift with the simulation and the water tank test, the deformation of the structure at the time of impact was reproduced with more than 90% accuracy.
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利用显式MPS法估算海啸漂浮物冲击力的模拟系统的开发
当大规模海啸发生时,沿海地区的建筑物会受到海啸漂流物的影响而遭到破坏。在海啸疏散设施和石油综合体的设计中,需要对大小、形状和质量不同的海啸漂体的冲击力进行估算。虽然已经提出了一些设计方程来估计海啸漂浮物的冲击力,但冲击力取决于各种条件,如海啸漂浮物的吃水、碰撞姿态、周围流场的条件以及结构的刚度等。目前还没有合理的设计方程来满足所有这些条件。因此,有必要通过水槽试验和数值模拟来估算海啸漂移的冲击力。为了通过数值模拟来模拟海啸漂移对结构体的影响,必须解决流体、漂浮物和结构体的耦合问题。在这项研究中,我们开发了一个模拟系统,可以用MPS方法模拟海啸漂移的冲击力,这是一种粒子方法。该仿真系统引入了一种显式的压力计算方法,允许进行相对大规模的数值计算。此外,该系统还能够将结构作为弹性体在海啸漂移的影响下的变形进行再现。特别是,我们引入了一种解析方法,使我们能够设置满足弹性和流体颗粒CFL条件的计算时间步长,即使流体颗粒的速度与弹性波引起的结构颗粒的速度之间存在很大差异,也可以进行稳定模拟。将海啸漂移悬臂梁受到的冲击力与模拟结果和水箱试验结果进行了比较,结果表明结构在受到冲击时的变形重现精度在90%以上。
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