COMPUTATION OF AERODYNAMIC SOUNDS AT LOW MACH NUMBERS USING FINITE DIFFERENCE LATTICE BOLTZMANN METHOD

  • Kang H. K (School of Mechanical and Aerospace Engineering Institute of Marine Industry, Gyeongsang National Univ.) ;
  • Tsutahara M (Graduate School of Science and Technology, Kobe Univ.) ;
  • Shikata K (Graduate School of Science and Technology, Kobe Univ.) ;
  • Kim E. R (Department of Civil engineering, Chonbuk National Univ.) ;
  • Kim Y. T (Department of Marine System Engineering, Korea Maritime Univ.) ;
  • Lee Y. H (Division of Mechanical & Information Engineering, Korea Maritime Univ.)
  • Published : 2005.03.01

Abstract

Aerodynamic sounds generated by a uniform flow around a two-dimensional circular cylinder at Re=150 are simulated by applying the finite difference lattice Boltzmann method. Thethird-order-accurate up-wind scheme (UTOPIA) is used for the spatial derivatives, and the second-order-accurate Runge-Kutta scheme is applied for the time marching. We have succeed in capturing very small pressure fluctuations with the same frequency of the Karman vortex street compared with the pressure fluctuation around a circular cylinder. The propagation velocity of the acoustic waves shows that the points of peak pressure are biased upstream due to the Doppler effect in the uniform flow. For the downstream, on the other hand, it is faster. It is also apparent that the amplitude of sound pressure is proportional to r /sup -1/2/,r being the distance from the center of the circular cylinder. To investigate the effect of the lattice dependence, furthermore, 2D computations of the tone noises radiated by a square cylinder and NACA0012 with a blunt trailing edge at high incidence and low Reynolds number are also investigate.

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