Numerical Simulation of Aerodynamic Sound by the Finite Difference Lattice Boltzmann Method

차분격자볼츠만법에 의한 유동소음의 수치계산

  • 강호근 (경상대학교 기계항공공학부ㆍ해양산업연구소) ;
  • 김은라 (전북대학교 토목공학과)
  • Published : 2004.04.01

Abstract

In this research, a numerical simulation for the acoustic sounds around a two-dimensional circular cylinder in a uniform flaw was developed, using the finite difference lattice Boltzmann model. We examine the boundary condition, which is determined by the distribution function concerning density, velocity, and internal energy at the boundary node. Pressure variation, due to the emission of the acoustic waves, is very small, but we can detect this periodic variation in the region far from the cylinder. Daple-like emission of acoustic waves is seen, and these waves travel with the speed of sound, and are synchronized with the frequency of the lift on the cylinder, due to the Karman vortex street. It is also apparent that the size of the sound pressure is proportional to the central distance to the circular cylinder. The lattice BGK model for compressible fluids is shown to be a powerful tool for the simulation of gas flaws.

Keywords

References

  1. Phys. Rev. v.94 A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One Component Systems Bhatnagar,P.L.;Gross,E.P.;Krook,M.
  2. Phys. Rev. E. v.55 Physical Symmetry and Lattice Symmetry in the Lattice Boltzmann Method Cao,N.;Chen,S.;Jin,S.;Martinez,D.
  3. J. Fluid Mech v.330 Sound Generation in a Mixing Layer Colonius,T.;Lele,S.K.;Moin,P.
  4. Theoret. Comput. Fluid Dyn. v.12 Computation of Vortex Shedding and Radiated Sound for a Circular Cylinder: Subcritical to Transonic Reynolds Numbers Cox,J.S.;Brentner,K.S.;Rumsey,C.L.
  5. Proc. Phys. Soc. Lond. v.B68 Measurements of the Sound from Circular Cylinders in an Air Stream Gerrard,J.H.
  6. AIAA J. v.22 Aeroacoustic Computation of Cylinder Wake Flow Hardin,J.C.;Lamkin,S.L.
  7. Theoret. Comput. Fluid Dyn. v.6 An Acoustic/Viscous Splitting Technique for Computational Aeroacoustics Hardin,J.C.;Pope,D.S.
  8. J. Fluid Mech. v.471 Sound Generation by a Two-Dimensional Circular Cylinder in a Uniform Flow Inoue,O.;Hatakeyama,N.
  9. KSME Int. J. v.16 no.10 Numerical Simulation of Shock Wave Propagation Using the Finite Difference Lattice Boltzmann Method Kang,H.K.;Tsutahara,M.;Ro,K.D.;Lee,Y.H.
  10. KSME Int. J. v.17 no.12 Numerical Analysis of a Weak Shock Wave Propagating in a Medium Using Lattice Boltzmann Method Kang,H.K.;Tsutahara,M.;Ro,K.D.;Lee,Y.H.
  11. The Theory of Sound v.2 Rayleigh,L.
  12. AIAA paper Computational Aero-Acoustics : a Review Lele,S.K.
  13. Proc. R. Soc. Lond. A221. One Sound Generated Aerodynamically,I. General theory Lighthill,M.J.
  14. J. Comp. Phys. v.101 Boundary Conditions for Direct Simulation of Compressible Viscous Flows Pointsot,T.;Lele,S.K.
  15. Trans. JSME J. v.B65-634 Lattice Botlzmann Scheme for Simulating Two-Phase Flows Seta,T.;Kono,K.;Martinez,D.;Chen,S.
  16. AIAA J. v.37 Computational Aeroacoustic Simulation Using the Expansion about Incompreeible Flow Approach Slimon,S.A.;Soteriou,M.C.;Davis,D.W.
  17. Ann. Phys. Chem.(Wied. Ann. Phys.) v.5 On One Particular Way of Tone Generation(in German) Strouhal,V.
  18. AIAA J. v.34 Computation of Quadrupole Noise Using Acoustic Analogy Wang,M.;Lele,S.K.;Moin,P.