A high‐order solver for simulating vortex‐induced vibrations using the sliding‐mesh spectral difference method and hybrid grids

Abstract

We present a high‐order solver for simulating vortex‐induced vibrations (VIVs) at very challenging situations, for example, VIVs of a row of very closely placed objects with large relative displacements. This solver works on unstructured hybrid grids by employing the high‐order tensor‐product spectral difference method for quadrilateral grids and the Raviart‐Thomas spectral difference method for triangular grids. To deal with the challenging situations where a traditional conforming moving mesh is incapable, we split a computational domain into nonoverlapping subdomains, where each interior subdomain encloses an object and moves freely with respect to its neighbors. A nonuniform sliding‐mesh method that ensures high‐order accuracy is developed to deal with sliding interfaces between subdomains. A monolithic approach is adopted to seamlessly couple the fluid and solid vibration equations. Moreover, the solver is parallelized to further improve its efficiency on distributed‐memory computers. Through a series of numerical tests, we demonstrate that this solver is high‐order accurate for both inviscid and viscous flows and has good parallel efficiency, making it ideal for VIV studies.

Document Details

Document Type
Pub Defense Publication
Publication Date
Feb 14, 2019
Source ID
10.1002/fld.4717

Entities

People

  • Bin Zhang
  • Chunlei Liang
  • Min Xu
  • Zihua Qiu

Organizations

  • China Scholarship Council
  • George Washington University
  • Northwestern Polytechnical University
  • Office of Naval Research

Tags

Readers

  • Distributed Systems and Data Platform Development
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.