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We study the effect of different forcing functions and of the local gradient Richardson number Rig on the vertical transport of Lagrangian tracers in stably stratified turbulence under the Boussinesq approximation and present a wave and continuous-time random-walk model for single- and two-particle vertical dispersion. The model consists of a random superposition of linear waves with their amplitude, based on the observed Lagrangian spectrum of vertical velocity, and a random-walk process to capture overturning that depends on the statistics of Rig among other Eulerian quantities. The model is in good agreement with direct numerical simulations of stratified turbulence, where single- and two-particle dispersion differ from the homogeneous and isotropic case. Moreover, the model gives insight into the mixture of linear and nonlinear physics in the problem, as well as on the different processes responsible for vertical turbulent dispersion. © 2019 American Physical Society.


Documento: Artículo
Título:Vertical dispersion of Lagrangian tracers in fully developed stably stratified turbulence
Autor:Sujovolsky, N.E.; Mininni, P.D.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, IFIBA, CONICET, Ciudad Universitaria, 1428 Buenos Aires, Buenos Aires, 1428, Argentina
Palabras clave:Continuous time systems; Elementary particle sources; Lagrange multipliers; Random processes; Turbulence; Boussinesq approximations; Continuous-time random walk models; Homogeneous and isotropic; Random walk process; Stratified turbulence; Turbulent dispersion; Vertical dispersion; Vertical transports; Dispersion (waves)
Título revista:Physical Review Fluids
Título revista abreviado:Phys. Rev. Fluids


  • Wyngaard, J.C., Atmospheric turbulence (1992) Annu. Rev. Fluid Mech., 24, p. 205
  • D'Asaro, E.A., Lien, R.-C., Lagrangian measurements of waves and turbulence in stratified flows (2000) J. Phys. Oceanogr., 30, p. 641
  • Watanabe, T., Riley, J.J., Nagata, K., Turbulent entrainment across turbulent-nonturbulent interfaces in stably stratified mixing layers (2017) Phys. Rev. Fluids, 2, p. 104803
  • Amir, G., Bar, N., Eidelman, A., Elperin, T., Kleeorin, N., Rogachevskii, I., Turbulent thermal diffusion in strongly stratified turbulence: Theory and experiments (2017) Phys. Rev. Fluids, 2, p. 064605
  • Lindborg, E., Brethouwer, G., Vertical dispersion by stratified turbulence (2008) J. Fluid Mech., 614, p. 303
  • Waite, M.L., Stratified turbulence at the buoyancy scale (2011) Phys. Fluids, 23, p. 066602
  • Marino, R., Mininni, P.D., Rosenberg, D.L., Pouquet, A., Large-scale anisotropy in stably stratified rotating flows (2014) Phys. Rev. e, 90, p. 023018
  • Maffioli, A., Vertical spectra of stratified turbulence at large horizontal scales (2017) Phys. Rev. Fluids, 2, p. 104802
  • Smith, L.M., Waleffe, F., Generation of slow large scales in forced rotating stratified turbulence (2002) J. Fluid Mech., 451, p. 145
  • Clark Di Leoni, P., Mininni, P.D., Absorption of waves by large-scale winds in stratified turbulence (2015) Phys. Rev. e, 91, p. 033015
  • Sujovolsky, N.E., Mininni, P.D., Rast, M.P., Single-particle dispersion in stably stratified turbulence (2018) Phys. Rev. Fluids, 3, p. 034603
  • Kimura, Y., Herring, J.R., Diffusion in stably stratified turbulence (1996) J. Fluid Mech., 328, p. 253
  • Kaneda, Y., Ishida, T., Suppression of vertical diffusion in strongly stratified turbulence (2000) J. Fluid Mech., 402, p. 311
  • Liechtenstein, L., Godeferd, F.S., Cambon, C., The role of nonlinearity in turbulent diffusion models for stably stratified and rotating turbulence (2006) Int. J. Heat Fluid Fl., 27, p. 644
  • Rorai, C., Mininni, P.D., Pouquet, A., Turbulence comes in bursts in stably stratified flows (2014) Phys. Rev. e, 89, p. 043002
  • Feraco, F., Marino, R., Pumir, A., Primavera, L., Mininni, P.D., Pouquet, A., Rosenberg, D., Vertical drafts and mixing in stratified turbulence: Sharp transition with Froude number (2018) Europhys. Lett., 123, p. 44002
  • Billant, P., Chomaz, J.-M., Self-similarity of strongly stratified inviscid flows (2001) Phys. Fluids, 13, p. 1645
  • De Bruyn Kops, S.M., Riley, J.J., Winters, K.B., Reynolds and Froude number scaling in stably-stratified flows (2004) IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow, 74, pp. 71-76. , in (Springer, Dordrecht)
  • Bauer, E., Dispersion of tracers in the atmosphere and ocean: Survey and comparison of experimental data (1974) J. Geophys. Res., 79, p. 789
  • Fernando, H.J.S., Turbulent mixing in stratified fluids (1991) Annu. Rev. Fluid Mech., 23, p. 455
  • Polzin, K.L., Toole, J.M., Ledwell, J.R., Schmitt, R.W., Spatial variability of turbulent mixing in the abyssal ocean (1997) Science, 276, p. 93
  • Wunsch, C., Ferrari, R., Vertical mixing, energy, and the general circulation of the oceans (2004) Annu. Rev. Fluid Mech., 36, p. 281
  • Ivey, G.N., Winters, K.B., Koseff, J.R., Density stratification, turbulence, but how much mixing? (2008) Annu. Rev. Fluid Mech., 40, p. 169
  • Klein, P., Lapeyre, G., The oceanic vertical pump induced by mesoscale and submesoscale turbulence (2009) Annu. Rev. Mar. Sci., 1, p. 351
  • Mingari, L.A., Collini, E.A., Folch, A., Báez, W., Bustos, E., Osores, M.S., Reckziegel, F., Viramonte, J.G., Numerical simulations of windblown dust over complex terrain: The Fiambalá Basin episode in June 2015 (2017) Atmos. Chem. Phys., 17, p. 6759
  • Jones, A., Thomson, D., Hort, M., Devenish, B., (2007) Air Pollution Modeling and Its Application XVII, pp. 580-589. , edited by C. Borrego and A. L. Norman (Springer, Boston), pp.
  • Godeferd, F.S., Malik, N.A., Cambon, C., Nicolleau, F., Eulerian and Lagrangian statistics in homogeneous stratified flows (1996) Appl. Sci. Res., 57, p. 319
  • Nicolleau, F., Vassilicos, J.C., Turbulent diffusion in stably stratified non-decaying turbulence (2000) J. Fluid Mech., 410, p. 123
  • Van Aartrijk, M., Clercx, H.J.H., Winters, K.B., Single-particle, particle-pair, and multiparticle dispersion of fluid particles in forced stably stratified turbulence (2008) Phys. Fluids, 20, p. 025104
  • Bec, J., Biferale, L., Cencini, M., Lanotte, A., Musacchio, S., Toschi, F., Heavy Particle Concentration in Turbulence at Dissipative and Inertial Scales (2007) Phys. Rev. Lett., 98, p. 084502
  • Sumbekova, S., Cartellier, A., Aliseda, A., Bourgoin, M., Preferential concentration of inertial sub-Kolmogorov particles: The roles of mass loading of particles, Stokes numbers, and Reynolds numbers (2017) Phys. Rev. Fluids, 2, p. 024302
  • Van Aartrijk, M., Clercx, H.J.H., Vertical dispersion of light inertial particles in stably stratified turbulence: The influence of the Basset force (2010) Phys. Fluids, 22, p. 013301
  • Sozza, A., De Lillo, F., Musacchio, S., Boffetta, G., Large-scale confinement and small-scale clustering of floating particles in stratified turbulence (2016) Phys. Rev. Fluids, 1, p. 052401. , (R)
  • Sozza, A., De Lillo, F., Boffetta, G., Inertial floaters in stratified turbulence (2018) Europhys. Lett., 121, p. 14002
  • Mininni, P.D., Rosenberg, D., Reddy, R., Pouquet, A., A hybrid MPI-OpenMP scheme for scalable parallel pseudospectral computations for fluid turbulence (2011) Parallel Comput., 37, p. 316
  • Yeung, P.K., Pope, S.B., An algorithm for tracking fluid particles in numerical simulations of homogeneous turbulence (1988) J. Comput. Phys., 79, p. 373
  • Sujovolsky, N.E., Mininni, P.D., Pouquet, A., Generation of turbulence through frontogenesis in sheared stratified flows (2018) Phys. Fluids, 30, p. 086601
  • Billant, P., Chomaz, J.-M., Theoretical analysis of the zigzag instability of a vertical columnar vortex pair in a strongly stratified fluid (2000) J. Fluid Mech., 419, p. 29
  • Riley, J.J., De Bruyn Kops, S.M., Dynamics of turbulence strongly influenced by buoyancy (2003) Phys. Fluids, 15, p. 2047
  • Davidson, P.A., (2013) Turbulence in Rotating, Stratified and Electrically Conducting Fluids, , (Cambridge University Press, Cambridge)
  • Rast, M.P., Pinton, J.-F., Mininni, P.D., Turbulent transport with intermittency: Expectation of a scalar concentration (2016) Phys. Rev. e, 93, p. 043120


---------- APA ----------
Sujovolsky, N.E. & Mininni, P.D. (2019) . Vertical dispersion of Lagrangian tracers in fully developed stably stratified turbulence. Physical Review Fluids, 4(1).
---------- CHICAGO ----------
Sujovolsky, N.E., Mininni, P.D. "Vertical dispersion of Lagrangian tracers in fully developed stably stratified turbulence" . Physical Review Fluids 4, no. 1 (2019).
---------- MLA ----------
Sujovolsky, N.E., Mininni, P.D. "Vertical dispersion of Lagrangian tracers in fully developed stably stratified turbulence" . Physical Review Fluids, vol. 4, no. 1, 2019.
---------- VANCOUVER ----------
Sujovolsky, N.E., Mininni, P.D. Vertical dispersion of Lagrangian tracers in fully developed stably stratified turbulence. Phys. Rev. Fluids. 2019;4(1).