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Dissipation Improvement of MUSCL Scheme for Computational Aeroacoustics

Published online by Cambridge University Press:  05 May 2011

San-Yin Lin ,
Sheng-Chang Shih  and
Jen-Jiun Hu
San-Yin Lin*
Affiliation:
Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
Sheng-Chang Shih*
Affiliation:
Far East College, Tainan, Taiwan 712, R.O.C.
Jen-Jiun Hu*
Affiliation:
Insititute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Professor
**Associate Professor
***Graduate student
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Abstract

An upwind finite-volume scheme is studied for solving the solutions of two dimensional Euler equations. It based on the MUSCL (Monotone Upstream Scheme for Conservation Laws) approach with the Roe approximate Riemann solver for the numerical flux evaluation. First, dissipation and dispersion relation, and group velocity of the scheme are derived to analyze the capability of the proposed scheme for capturing physical waves, such as acoustic, entropy, and vorticity waves. Then the scheme is greatly enhanced through a strategy on the numerical dissipation to effectively handle aeroacoustic computations. The numerical results indicate that the numerical dissipation strategy allows that the scheme simulates the continuous waves, such as sound and sine waves, at fourth-order accuracy and captures the discontinuous waves, such a shock wave, sharply as well as most of upwind schemes do. The tested problems include linear wave convection, propagation of a sine-wave packet, propagation of discontinuous and sine waves, shock and sine wave interaction, propagation of acoustic, vorticity, and density pulses in an uniform freestream, and two-dimensional traveling vortex in a low-speed freestream.

Keywords

Upwind finite-volume schemeDissipationDispersionGroup velocity
Type
Articles
Information
Journal of Mechanics , Volume 17 , Issue 1 , March 2001 , pp. 39 - 47
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2001

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References

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