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Comparison of Three Efficient Methods for Computing Mode Shapes of Fluid-Structure Interaction Systems

机译：计算流固耦合系统模式形状的三种有效方法的比较

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摘要

In this study, three well-known approaches for computing mode shapes and natural frequencies of fluid-structure systems are investigated and compared. These techniques are variants of subspace, Lanczos and Arnoldi eigensolvers suitable for considered problem. The fluid and structure domains are discretized with finite elements and are formulated based on pressure and displacement degrees of freedom, respectively. It is well known that the eigen-problem which governs free vibration of such a system has unsymmetric matrices. The accelerated pseudo-symmetric subspace iteration method, which is recently proposed for fluid-structure problems, is the most efficient version of subspace method for this problem. In addition, two-sided Lanczos iteration and implicitly restarted Arnoldi methods are adjusted for fluid-structure problems and compared from efficiency point of view. Several numerical analyses are carried out which lead to the conclusion that Krylov subspace projection methods are more efficient than subspace method. Moreover, implicitly restarted Arnoldi method is the most efficient and stable one among three investigated approaches for mentioned problem.
机译：在这项研究中，研究和比较了三种众所周知的计算流体结构系统的模式形状和固有频率的方法。这些技术是适合所考虑问题的子空间，Lanczos和Arnoldi特征求解器的变体。流体和结构域通过有限元离散化，并分别基于压力和位移自由度制定。众所周知，控制这种系统的自由振动的本征问题具有不对称矩阵。最近针对流体结构问题提出的加速伪对称子空间迭代方法是解决该问题的最有效方法。此外，针对流体结构问题调整了双向Lanczos迭代和隐式重启的Arnoldi方法，并从效率的角度进行了比较。进行了一些数值分析，得出结论，即Krylov子空间投影方法比子空间方法更有效。而且，隐式重启Arnoldi方法是针对上述问题的三种研究方法中最有效，最稳定的方法之一。

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