航空学报 > 2019, Vol. 40 Issue (3): 122483-122483   doi: 10.7527/S1000-6893.2018.22483

适用于涡激振荡问题研究的并行高精度方法

邱滋华1, 徐敏1, 张斌2, 梁春雷2   

  1. 1. 西北工业大学 航天学院, 西安 710072;
    2. 乔治华盛顿大学 机械与航空工程系, 华盛顿特区 20052
  • 收稿日期:2018-06-26 修回日期:2018-08-28 出版日期:2019-03-15 发布日期:2018-10-19
  • 通讯作者: 徐敏 E-mail:xumin@nwpu.edu.cn
  • 基金资助:
    国家自然科学基金(11602296,11802179)

A parallel high-order method for simulating vortex-induced vibrations

QIU Zihua1, XU Min1, ZHANG Bin2, LIANG Chunlei2   

  1. 1. School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China;
    2. Department of Mechanical and Aerospace Engineering, The George Washington University, Washington, D.C. 20052, United States
  • Received:2018-06-26 Revised:2018-08-28 Online:2019-03-15 Published:2018-10-19
  • Supported by:
    National Natural Science Foundation of China (11602296, 11802179)

摘要: 提出了一种用于研究大振幅及物体间小间距等极端情况下涡激振荡(VIV)问题的高精度方法。该方法针对三角形/四边形非结构混合网格,采用高精度谱差分(SD)格式对Navier-Stokes方程进行空间离散。通过引入非均匀滑移网格方法,将计算域分割成多个互相不重合的子区域,从而实现了子区域网格的独立变形,子区域之间通过粘接元进行信息传递。采用全耦合方法精确求解VIV问题中流体和固体间的相互作用。通过研究并行策略以及使用消息传递接口,实现了求解器的并行计算能力。数值模拟表明:对于无黏和有黏流动问题,该方法均能保持SD方法的高精度特性;对于动网格下的定常均匀来流,求解器能够做到自由流保持;单个圆柱VIV问题仿真与现有文献结果符合较好,验证了方法的可靠性;对于流场变形情况比较复杂的涡激振荡问题,求解器可以有效实现网格变形,并具有理想的并行效率。

关键词: 流固耦合, 高精度格式, 谱差分方法, 滑移网格, 涡激振荡, 并行计算

Abstract: This paper presents a parallel high-order method for simulating Vortex-Induced Vibrations (VIV) at very challenging situations, such as vibrations of very closely placed solid objects or a row of multiple objects with large relative displacements. This method works on unstructured triangular/quadrilateral hybrid grids by employing the high-order Spectral Difference (SD) method for spatial discretization. By introducing nonuniform sliding meshes, a computational domain is split into several non-overlapping subdomains, and each subdomain can enclose an object and move freely with respect to its neighbors. The two sides of a sliding interface are coupled through a newly developed nonuniform mortar method. A monolithic approach is adopted to seamlessly couple the fluid and the solid vibration equations. Parallelization strategy is studied and achieved by message passing interface implementation. Through a series of numerical tests, we demonstrate that the present method is high-order accurate for both inviscid and viscous flows; for steady uniform flow, the solver can assure free stream preservation; single cylinder VIV simulation agrees well with previous simulations, which verifies the reliability of the method; mesh deformation can be easily applied even when the deformation of the flow field is complicated, and high parallel efficiency can be achieved at the same time.

Key words: fluid-structure interaction, high-order scheme, spectral difference method, sliding-mesh, vortex-induced vibration, parallel computing

中图分类号: