Journal
JOURNAL OF COMPUTATIONAL ACOUSTICS
Volume 17, Issue 3, Pages 309-330Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218396X09003975
Keywords
Computational aeroacoustics; Lighthill's analogy; variational multiscale; residual-based stabilization; subgrid scale finite element
Funding
- Ministerio de Ciencia y Tecnologia [DPI2000-0431-P4-03]
- Generalitat de Catalunya [RDITCRD05-1-0010]
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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 Navier-Stokes 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.
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