Computational aeroacoustics of viscous low speed flows using subgrid scale finite element methods

Oriol Guasch, Ramon Codina

Research output: Indexed journal article Articlepeer-review

13 Citations (Scopus)

Abstract

A methodology to perform computational aeroacoustics (CAA) of viscous low speed flows in the framework of stabilized finite element methods is presented. A hybrid CAA procedure is followed that makes use of Lighthill's acoustic analogy in the frequency domain. The procedure has been conceptually divided into three steps. In the first one, the incompressible NavierStokes equations are solved to obtain the flow velocity field. In the second step, Lighthill's acoustic source term is computed from this velocity field and then Fourier transformed to the frequency domain. Finally, the acoustic pressure field is obtained by solving the corresponding inhomogeneous Helmholtz equation. All equations in the formulation are solved using subgrid scale stabilized finite element methods. The main ideas of the subgrid scale numerical strategy are outlined and its benefits when compared to the Galerkin approach are described. As numerical examples, the aerodynamic noise generated by flow past a two-dimensional cylinder and by flow past two cylinders in parallel arrangement are addressed.

Original languageEnglish
Pages (from-to)309-330
Number of pages22
JournalJournal of Computational Acoustics
Volume17
Issue number3
DOIs
Publication statusPublished - Sept 2009

Keywords

  • Computational aeroacoustics
  • Lighthill's analogy
  • Residual-based stabilization
  • Subgrid scale finite element
  • Variational multiscale

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