TY - JOUR

T1 - Computational aeroacoustics of viscous low speed flows using subgrid scale finite element methods

AU - Guasch, Oriol

AU - Codina, Ramon

N1 - Funding Information:
This research has been partially funded by the research project DPI2000-0431-P4-03 of the Ministerio de Ciencia y Tecnología and by the CIDEM research project RDITCRD05-1-0010 of the Generalitat de Catalunya. On the other hand, this work was mainly carried out while the first author was working at ICR (Engineering for the Noise Control) and at CIMNE (International Center for Numerical Methods in Engineering). Both entities are acknowledged for their support.

PY - 2009/9

Y1 - 2009/9

N2 - 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.

AB - 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.

KW - Computational aeroacoustics

KW - Lighthill's analogy

KW - Residual-based stabilization

KW - Subgrid scale finite element

KW - Variational multiscale

UR - http://www.scopus.com/inward/record.url?scp=69949083579&partnerID=8YFLogxK

U2 - 10.1142/S0218396X09003975

DO - 10.1142/S0218396X09003975

M3 - Article

AN - SCOPUS:69949083579

SN - 0218-396X

VL - 17

SP - 309

EP - 330

JO - Journal of Computational Acoustics

JF - Journal of Computational Acoustics

IS - 3

ER -