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Impedance Boundary Condition for Lattice Boltzmann Model

Published online by Cambridge University Press:  03 June 2015

Chenghai Sun ,
Franck Pérot ,
Raoyang Zhang ,
David M. Freed  and
Hudong Chen
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Abstract

A surface based lattice Boltzmann impedance boundary condition (BC) using Ozyoruk’s model [J. Comput. Phys., 146 (1998), pp. 29-57] is proposed and implemented in PowerFLOW. In Ozyoruk’s model, pressure fluctuation is directly linked to normal velocity on an impedance surface. In the present study, the relation between pressure and normal velocity is realized precisely by imposing a mass flux on the surface. This impedance BC is generalized and can handle complex geometry. Combined with the turbulence model in the lattice Boltzmann solver PowerFLOW, this BC can be used to model the effect of a liner in presence of a complex 3D turbulent flow. Preliminary simulations of the NASA Langley grazing flow tube and Kundt tube show satisfying agreement with experimental results.

Keywords

76Q05Acousticsimpedancelattice Boltzmann
Type
Research Article
Information
Communications in Computational Physics , Volume 13 , Issue 3 , March 2013 , pp. 757 - 768
Copyright
Copyright © Global Science Press Limited 2013

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References

[1]Ozyouk, Y., Long, L. N., and Jones, M. G., Time-domain numerical simulation of a flow impedance tube, J. Comput. Phys., 146 (1998), 29–57.Google Scholar
[2]Delattre, G., Manoha, E., Redonnet, S., and Sagaut, P., Time-domain simulation of sound ab-sorption on curved wall, 13th AIAA/CEAS Aeroacoustics conference, Rome, Italy, AIAA- 2007-3493 (2007).Google Scholar
[3]Li, X. Y. and Li, X. D., Construction and validation of a broadband time domain impedance boundary condition, 17th AIAA/CEAS Aeroacoustics conference, Portland, Oregen, AIAA- 2011-2870(2011).Google Scholar
[4]Toutant, A. and Sagaut, P., Lattice Boltzmann simulations of impedance tube flows, Computers & Fluids, 38(2) (2009), 458–465.Google Scholar
[5]Chen, H., Teixeira, C., and Molving, K., Realization of fluid boundary conditions via discrete Boltzmann dynamics, Int. J. of Mod. Phys. C., 9(8) (1998), 1281–1292.Google Scholar
[6]Chen, H., Kandasamy, S., Orszag, S., Shock, R., Succi, S., and Yakhot, V., Extended Boltzmann kinetic equation for turbulent flows, Science, 301 (2003), 633–636.Google Scholar
[7]Chen, H., Orszag, S. A., Staroselsky, I., and Succi, S., Expanded analogy between Boltzmann theory of fluids and turbulence, J. Fluid. Mech., 519 (2004), 301–314.Google Scholar
[8]Parrott, T. L., Watson, W. R., and Jones, M. G., Experimental validation of a two-dimensional shear-flow model for determining acoustic impedance, NASA Technical Paper, 2679 (1987), 1–46.Google Scholar
[9]Rienstra, S. W., 1-D Reflection at an impedance wall, J. of Sound and Vibration, 125(1) (1988), 43–51.Google Scholar
[10]Myers, M. K., On the acoustic boundary condition in the presence of flow, J. of Sound and Vibration, 71(3) (1980), 429–434.Google Scholar
[11]Allard, J. F., Propagation of Sound in Porous Media: Modeling Sound Absorbing Materials, Elsevier Editions, 1993.Google Scholar
[12]Tam, C. K. W. and Auriault, L., Time-domain impedance conditions for computational aeroa-coustics, AIAA Journal, 34(5) (1996), 917.Google Scholar
[13]Brès, G. A., Pérot, F., and Freed, D., Properties of the lattice-Boltzmann method for acoustics, 13th AIAA/CEAS aeroacoustics conference, Miami, Florida, AIAA 2009-3395 (2009).Google Scholar
[14]Qian, Y. H., d’Humieres, D., and Lallemand, P., Lattice BGK models for Navier-Stokes equation, Europhys. Lett., 17 (1992), 479–484.CrossRefGoogle Scholar
[15]Nie, X., Shan, X., and Chen, H., Lattice-Boltzmann/Finite-Difference hybrid simulation of transonic flow, 47th AIAA Aerospace Science Meeting Including The Horizons Forum and Aerospace Exposition, Orlando, Florida, AIAA 2009-139 (2009).Google Scholar
[16]Shan, X., Yuan, X.-F., and Chen, H., Kinetic theory representation of hydrodynamics: A way beyond the Navier-Stokes equation, J. Fluid Mech., 550 (2006), 413–441.Google Scholar