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Artificial damping methods for stable computations with linearized Euler equations

Artificial damping methods for stable computations with linearized Euler equations
Artificial damping methods for stable computations with linearized Euler equations
In this work, new methods are developed to facilitate stable and accurate numerical solutions of linearized Euler equations, which are often used in solving problems in computational aeroacoustics. Solutions of LEE can suffer from numerical Kelvin-Helmholtz instabilities in the presence of a sheared mean flow. Various methods have been exploited to address this problem; each has its advantages and disadvantages. In this work, two new methods that use artificial damping terms (ADT) are introduced. The first method is constructed to damp the vortical components generated during the computation while the second one is proposed by revisiting the effect of viscosity in the Navier-Stokes equations.

An adaptive method is also used to improve the proposed new methods. These methods are tested on two benchmark cases: a) acoustic wave refraction through a strongly sheared jet, and b) mode radiation from a semi-infinite duct with jet. It is found that numerical instabilities can be successfully suppressed with little side effect on the acoustic wave computations.
American Institute of Aeronautics and Astronautics
Sun, Yuhao
e7fcaa0d-bc1f-4550-b495-0dbf0a294e5c
Zhong, Siyang
414858d2-91b4-454c-957e-9280ed2e3a0f
Zhang, Xin
3056a795-80f7-4bbd-9c75-ecbc93085421
Gill, James
1e31eb24-f833-462e-b610-23b5b28e7285
Chen, Xiaoxian
1c7ce635-f117-4cb5-8f61-cb6a9b23d8a5
Sun, Yuhao
e7fcaa0d-bc1f-4550-b495-0dbf0a294e5c
Zhong, Siyang
414858d2-91b4-454c-957e-9280ed2e3a0f
Zhang, Xin
3056a795-80f7-4bbd-9c75-ecbc93085421
Gill, James
1e31eb24-f833-462e-b610-23b5b28e7285
Chen, Xiaoxian
1c7ce635-f117-4cb5-8f61-cb6a9b23d8a5

Sun, Yuhao, Zhong, Siyang, Zhang, Xin, Gill, James and Chen, Xiaoxian (2016) Artificial damping methods for stable computations with linearized Euler equations. In 22nd AIAA/CEAS Aeroacoustics Conference. American Institute of Aeronautics and Astronautics. 14 pp . (doi:10.2514/6.2016-2971).

Record type: Conference or Workshop Item (Paper)

Abstract

In this work, new methods are developed to facilitate stable and accurate numerical solutions of linearized Euler equations, which are often used in solving problems in computational aeroacoustics. Solutions of LEE can suffer from numerical Kelvin-Helmholtz instabilities in the presence of a sheared mean flow. Various methods have been exploited to address this problem; each has its advantages and disadvantages. In this work, two new methods that use artificial damping terms (ADT) are introduced. The first method is constructed to damp the vortical components generated during the computation while the second one is proposed by revisiting the effect of viscosity in the Navier-Stokes equations.

An adaptive method is also used to improve the proposed new methods. These methods are tested on two benchmark cases: a) acoustic wave refraction through a strongly sheared jet, and b) mode radiation from a semi-infinite duct with jet. It is found that numerical instabilities can be successfully suppressed with little side effect on the acoustic wave computations.

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More information

Accepted/In Press date: 2 February 2016
e-pub ahead of print date: 31 May 2016
Venue - Dates: 22nd AIAA/CEAS Aeroacoustics Conference, France, 2016-05-30 - 2016-06-01
Organisations: Aeronautics, Astronautics & Comp. Eng

Identifiers

Local EPrints ID: 396456
URI: https://eprints.soton.ac.uk/id/eprint/396456
PURE UUID: 16d40e78-f8c1-453b-8e22-492fdc59b57e

Catalogue record

Date deposited: 10 Jun 2016 09:14
Last modified: 13 Mar 2019 18:52

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