A multifractal model for linking Lagrangian and Eulerian velocity structure functions

Yufeng Dong1, Guodong Jin1
1LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing, China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Yeung, P.K.: Lagrangian investigations of turbulence. Annu. Rev. Fluid Mech. 34, 115–142 (2002)

Toschi, F., Bodenschatz, E.: Lagrangian properties of particles in turbulence. Annu. Rev. Fluid Mech. 41, 375–404 (2009)

Arnèodo, A., Benzi, R., Berg, J., et al.: Universal intermittent properties of particle trajectories in highly turbulent flows. Phys. Rev. Lett. 100, 254504 (2008)

Benzi, R., Ciliberto, S., Tripiccione, R., et al.: Extended selfsimilarity in turbulent flows. Phys. Rev. E 48, R29–R32 (1993)

She, Z.S., Leveque, E.: Universal scaling laws in fully developed turbulence. Phys. Rev. Lett. 72, 336–339 (1994).

Fang, L., Shao, L., Bertoglio, J.P., et al.: An improved velocity increment model based on Kolmogorov equation of filtered velocity. Phys. Fluids 21, 065108 (2009)

Fang, L., Bos, W.J.T., Zhou, X., et al.: Corrections to the scaling of the second-order structure function in isotropic turbulence. Acta Mech. Sin. 26, 151–157 (2010)

Fang, L., Bos, W.J.T., Shao, L., et al.: Time reversibility of Navier-Stokes turbulence and its implication for subgrid scale models. Journal of Turbulence 13, 1–9 (2012)

He, G.W., Zhang, J.B.: Elliptic model for space-time correlations in turbulent shear flows. Phys. Rev. E 73, 055303 (2006)

Zhao, X., He, G.W.: Space-time correlations of fluctuating velocities in turbulent shear flows. Phys. Rev. E 79, 046316 (2009)

He, G.W., Jin, G., Zhao, X.: Scale-similarity model for Lagrangian velocity correlations in isotropic and stationary turbulence. Phys. Rev. E 80, 066313 (2009)

Li, D., Zhang, X., He, G.W.: Temporal decorrelations in compressible isotropic turbulence. Phys. Rev. E 88, 021001 (2013)

Mordant, N., Metz, P., Michel, O., et al.: Measurement of Lagrangian velocity in fully developed turbulence. Phys. Rev. Lett. 87, 214501 (2001)

Mordant, N., Lévéque, E., Pinton, J.F.: Experimental and numerical study of the Lagrangian dynamics of high Reynolds turbulence. New J. Phys. 6, 116 (2004)

Bourgoin, M., Ouellette, N.T., Xu, H., et al.: The role of pair dispersion in turbulent flow. Science 311, 835–838 (2006)

Xu, H., Bourgoin, M., Ouellette, N.T., et al.: High order Lagrangian velocity statistics in turbulence. Phys. Rev. Lett. 96, 024503 (2006)

Xu, H., Ouellette, N.T., Bodenschatz, E.: Multifractal dimension of Lagrangian turbulence. Phys. Rev. Lett. 96, 114503 (2006)

Biferale, L., Boffetta, G., Celani, A., et al.: Particle trapping in three-dimensional fully developed turbulence. Phys. Fluids 17, 021701 (2005)

Bec, J., Biferale, L., Cencini, M., et al.: Effects of vortex filaments on the velocity of tracers and heavy particles in turbulence. Phys. Fluids 18, 081702 (2006)

Biferale, L., Bodenschatz, E., Cencini, M., et al.: Lagrangian structure functions in turbulence: A quantitative comparison between experiment and direct numerical simulation. Phys. Fluids 20, 065103 (2008)

Benzi, R., Biferale, L., Fisher, R., et al.: Inertial range Eulerian and Lagrangian statistics from numerical simulations of isotropic turbulence. J. Fluid Mech. 653, 221–244 (2010)

Huang, Y., Biferale, L., Calzavarini, E., et al.: Lagrangian single-particle turbulent statistics through the Hilbert-Huang transform. Phys. Rev. E 87, 041003 (2013)

Homann, H., Grauer, R., Busse, A., et al.: Lagrangian statistics of Navier-Stokes and MHD turbulence. J. Plasma Phys. 73, 821–830 (2007)

Borgas, M.S.: The multifractal Lagrangian nature of turbulence. Phil. Trans. R. Soc. Lond. A 342, 379–411 (1993)

Boffetta, G., De Lillo, F., Musacchio, S.: Lagrangian statistics and temporal intermittency in a shell model of turbulence. Phys. Rev. E 66, 066307 (2002)

Biferale, L., Boffetta, G., Celani, A., et al.: Multifractal statistics of Lagrangian velocity and acceleration in turbulence. Phys. Rev. Lett. 93, 064502 (2004)

Chevillard, L., Roux, S.G., Levéque, E., et al.: Lagrangian velocity statistics in turbulent flows: Effects of dissipation. Phys. Rev. Lett. 91, 214502 (2003)

Beck, C.: Statistics of three-dimensional Lagrangian turbulence. Phys. Rev. Lett. 98, 064502 (2007)

Kamps, O., Friedrich, R., Grauer, R.: Exact relation between Eulerian and Lagrangian velocity increment statistics. Phys. Rev. E 79, 066301 (2009)

Zybin, K.P., Sirota, V.A.: Lagrangian and Eulerian velocity structure functions in hydrodynamic turbulence. Phys. Rev. Lett. 104, 154501 (2010)

He, G.W.: Anomalous scaling for Lagrangian velocity structure functions in fully developed turbulence. Phys. Rev. E 83, 025301(R) (2011)

Frisch, U.: Turbulence: The Legacy of A. N. Kolmogorov. Cambridge University Press, Cambridge, England (1995)

Schmitt, F.G.: Linking Eulerian and Lagrangian structure functions’ scaling exponents in turbulence. Physica A 368, 377–386 (2006)

Tennekes, H., Lumley, J.L.: A first course in turbulence. MIT Press, Cambridge, Massachusetts, 226–227 (1972)

Tennekes, H.: Eulerian and Lagrangian time microscales in isotropic turbulence. J. Fluid Mech. 67, 561–567 (1975)

Kaneda, Y.: Lagrangian and Eulerian time correlations in turbulence. Phys. Fluids A 5, 2835–2845 (1993)

Benzi, R., Biferale, L., Calzavarini, E., et al.: Velocity-gradient statistics along particle trajectories in turbulent flows: The refined similarity hypothesis in the Lagrangian frame. Phys. Rev. E 80, 066318 (2009)

He, G.W., Rubinstein, R., Wang, L.P.: Effects of subgrid-scale modeling on time correlations in large eddy simulation. Phys. Fluids 14, 2186–2193 (2002)

He, G.W., Wang, M., Lele, S.K.: On the computation of space-time correlations by large-eddy simulation. Phys. Fluids 16, 3859–3867 (2004)

Yang, Y., He, G.W., Wang, L.P.: Effects of subgrid-scale modeling on Lagrangian statistics in large-eddy simulation. Journal of Turbulence 9, N8 (2008)

Jin, G., He, G.W., Wang, L.P.: Large-eddy simulation of turbulent collision of heavy particles in isotropic turbulence. Phys. Fluids 22, 055106 (2010)

Jin, G., He, G.W., Wang, L.P., et al.: Subgrid scale fluid velocity timescales seen by inertial particles in large-eddy simulation of particle-laden turbulence. Int. J. Multiphase Flow 36, 432–437 (2010)