Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Lagrangian Investigation of Turbulent Channel Flow (I) - An Assessment of Particle Tracking Algorithms -

난류채널유동의 라그란지안 해석 (I)- 입자추적 알고리듬 평가 -

  • 최정일 (연세대학교 기계공학과, 청정기술연구단) ;
  • 이창훈 (연세대학교 기계공학과)
  • Published : 2003.07.01
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Abstract

The Lagrangian dispserion of fluid particles in inhomogeneous turbulence is investigated by a direct numerical simulation of turbulent channel flow. Fluid particle velocity and acceleration along a particle trajectory are computed by employing several interpolation schemes such as linear interpolation, high-order Lagrange polynomial interpolation and the Hermite interpolation schemes. The performances of the schemes are evaluated through comparison of errors in computed particle positions, velocities and accelerations against spectral interpolation. Adopting the four-point Hermite interpolation in the homogeneous directions and Chebyshev polynomials in the wall-normal direction appears to produce most reliable Lagrangian statistics including acceleration correlations with a reasonable amount of computational overhead.

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References

  1. Armenio, A., Piomelli, U. and Fiorotto, V., 1999, 'Effect of the Subgrid Scales on Particle Motion,' Phys. Fluids, Vol. 11, No. 10, pp.3030-3042 https://doi.org/10.1063/1.870162
  2. Yeung, P.K. and Pope, S.B., 1988, 'An Algorithm for Tracking Fluid Particles in Numerical Simulation of Homogenous Turbulence,' J. Comp. Phys., Vol. 79, pp.373-416 https://doi.org/10.1016/0021-9991(88)90022-8
  3. Kontomaris, K., Hanratty, T.J. and Mclaughlin, J.B., 1992, 'An Algorithm for Tracking Fluid Particles in a Spectral Simulation of Turbulent Channel Flow,' J. Comp. Phys., Vol. 103, pp. 231-242 https://doi.org/10.1016/0021-9991(92)90398-I
  4. Balachandar, S. and Maxey, M.R., 1989, 'Methods for Evaluating Fluid Velocities in Spectral Simulations of Turbulence,' J. Comp. Phys., Vol. 83, pp.96-125 https://doi.org/10.1016/0021-9991(89)90224-6
  5. Choi, J.-I. and Lee, C., 2002, 'Lagrangian investiagation of Turbulent Channel Flow - (II) Analysis of Lagrangian Statistics,' KSME, submitted https://doi.org/10.3795/KSME-B.2003.27.7.867
  6. Kim, J., Moin, P. and Moser, R., 1987, 'Turbulence Statistics in Fully Developed Channel Flow at Low Reynolds Number,' J. Fluid Mech., Vol. 177, pp.133-166 https://doi.org/10.1017/S0022112087000892
  7. Canuto, C, Hussaini, M.Y., Quarteroni, A., Zang, T.A., 1988, Spectral Methods in Fluid Dynamics, Springer-Verlag
  8. Pope, S.B., 2000, Turbulent Flows, Cambridge University Press
  9. Shen, P. and Yeung, P.K., 1997, 'Fluid Particle Dispersion in Homogenous Turbulent Shear Flow,' Phys. Fluids, Vol. 9, No. 11, pp.3472-3484 https://doi.org/10.1063/1.869456
  10. Yeung, P.K., 1997, 'One- and Two-particle Lagrangian Acceleration Correlations in Numerically Simulated Homogenous Turbulence,' Phys. Fluids, Vol. 9, No. 10, pp.2981-2990 https://doi.org/10.1063/1.869409