流固耦合问题的PD-SPH建模与分析

PD-SPH MODELLING AND ANALYSIS FOR FLUID-STRUCTURE INTERACTION PROBLEMS

  • 摘要: 针对涉及结构变形破坏的流固耦合(Fluid-structure interaction, FSI)问题,提出一种基于虚粒子和排斥力的近场动力学(Peridynamics, PD)-光滑粒子动力学(Smoothed particle hydrodynamics, SPH)耦合方法。结合PD方法求解不连续问题以及SPH方法在流体模拟方面的优势,分别采用PD方法与SPH方法求解固体域和流体域,并通过流体粒子-虚粒子接触算法处理流-固界面,既能利用粒子间排斥力有效防止粒子穿透现象发生,又能利用虚粒子修正流体粒子的边界缺陷,提高计算精度。采用PD-SPH耦合方法模拟静水压力作用下的铝板变形问题以及溃坝水流冲击弹性板问题,所得结果与解析解或其它数值结果吻合良好,验证了耦合方法的可行性和有效性。进一步应用耦合方法模拟了流体作用下的结构变形、破坏以及破坏后部分结构运动全过程,验证了PD-SPH耦合方法在流固耦合-结构破坏问题模拟方面的适用性。

     

    Abstract: A coupled Smoothed Particle Hydrodynamics (SPH)-Peridynamics (PD) approach based on virtual particle and repulsive force is proposed to study fluid-structure interaction (FSI) problems involving structural deformation and failure. This approach has both the advantage of PD solving discontinuous problems and the advantage of SPH simulating fluid flows. The solid domain and fluid domain are solved by PD and SPH, respectively, and the fluid-structure interfaces are treated by a contact algorithm between fluid particles and virtual particles. This algorithm can effectively prevent particle penetration by repulsive force and remedy the boundary deficiency of fluid particles by virtual particles to improve computational accuracy. With the PD-SPH approach, the problems, including an aluminium plate subjected to hydrostatic pressure and dam-break flows impacting on an elastic plate, are simulated. The obtained results agree well with the analytical solution or published numerical results, which demonstrates the feasibility and effectiveness of the coupled approach. Moreover, the coupled approach is employed to simulate the entire process of structural deformation, failure, and post-failure partial body movement under fluid action. It further verifies the applicability of the coupled PD-SPH approach in the simulation of FSI problems involving structural failure.

     

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