# Comparison of high-order numerical schemes and several filtering methods applied to Navier-Stokes equations with applications to computational aeroacoustics

Lai, L.S., Djambazov, Georgi, Lai, Choi-Hong and Pericleous, Koulis A. (2009) *Comparison of high-order numerical schemes and several filtering methods applied to Navier-Stokes equations with applications to computational aeroacoustics.* Journal of Algorithms & Computational Technology, 3 (3). pp. 443-459. ISSN 1748-3018 (doi:10.1260/174830108788251746)

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## Abstract

In computational acoustics, fluid-acoustic coupling methods for the

computation of sound have been widely used by researchers for the

last five decades. In the first part of the coupling procedure, the fully

unsteady incompressible or compressible flow equations for the nearfield

of the unsteady flow are solved by using a Computational Fluid

Dynamics (CFD) technique, such as Direct Numerical Simulation (DNS),

Large Eddy Simulation (LES) or unsteady Reynolds averaged Navier-

Stokes equations (RANS) the CFD predictions are then used to

calculate sound sources using the acoustic analogy or solving a set of

acoustic perturbation equations (APE) leading to the solution of the

acoustic field. It is possible to use a 2-D reduced problem to provide a

preliminary understanding of many acoustic problems. Unfortunately

2-D CFD simulations using a fine-mesh-small-time-step-LES-alike

numerical method cannot be considered as LES, which applies to 3-D

simulations only. Therefore it is necessary to understand the similarities

and the effect between filters applied to unsteady compressible

Navier-Stokes equations and the combined effect of high-order

schemes and mesh size. The aim of this study is to provide suitable

LES-alike methods for 2-D simulations. An efficient software

implementation of high-order schemes is also proposed. Numerical

examples are provided to illustrate these statistical similarities.

Item Type: | Article |
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Uncontrolled Keywords: | higher order methods, filtering effect |

Subjects: | Q Science > QA Mathematics |

School / Department / Research Groups: | School of Computing & Mathematical Sciences Faculty of Architecture, Computing & Humanities > School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Department of Computer Systems Technology Faculty of Architecture, Computing & Humanities > School of Computing & Mathematical Sciences > Department of Computer Systems Technology School of Computing & Mathematical Sciences > Department of Mathematical Sciences Faculty of Architecture, Computing & Humanities > School of Computing & Mathematical Sciences > Department of Mathematical Sciences |

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Last Modified: | 20 Apr 2011 12:55 |

URI: | http://gala.gre.ac.uk/id/eprint/4560 |

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