A three-dimensional PSME model for rotating flows in an annular cavity

Ming-Jyh Chern, Nima Vaziri*, Alistair G. L. Borthwick

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A pseudospectral matrix-element (PSME) numerical model is described for the simulation of rotating flows in a three-dimensional annular cavity. Temporal discretisation is implemented using a second-order semi-implicit scheme. Modified compressibility is invoked to handle the coupling between velocity and pressure while maintaining the incompressibility constraint. The governing continuity and Navier-Stokes momentum equations and boundary conditions are discretised using Chebyshev and Fourier collocation formulae. The model is validated against numerical results from alternative schemes and experimental data on rotating flows in an annular cavity. A base flow regime and instability patterns are observed, in accordance with other previously published investigations. It is demonstrated that the PSME model provides an accurate representation of rotating flows in an annular cavity.

Original languageEnglish
Pages (from-to)181-191
Number of pages11
JournalInternational journal of computational fluid dynamics
Volume26
Issue number3
DOIs
Publication statusPublished - 2012

Keywords

  • PSME method
  • rotor-stator cavity
  • viscous flows
  • flow instability
  • modified compressibility method
  • NAVIER-STOKES EQUATIONS
  • PSEUDOSPECTRAL METHOD
  • STATIONARY DISK
  • FLUID-FLOW
  • INSTABILITY
  • CYLINDER
  • TRANSITION
  • SIMULATION
  • STABILITY
  • WAVES

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