Synthetizing hydrodynamic turbulence from noise: formalism and applications to plankton dynamics

Article English OPEN
Sagués, F. ; Reigada, R. ; Sancho, J.M. ; Hillary, R.M. ; Bees, M.A. (2003)
  • Publisher: American Institute of Physics
  • Related identifiers: doi: 10.1063/1.1584930
  • Subject:
    arxiv: Physics::Fluid Dynamics

We present an analytical scheme, easily implemented numerically, to generate synthetic Gaussian 2D turbulent flows by using linear stochastic partial differential equations, where the noise term acts as a random force of well-prescribed statistics. This methodology leads to a divergence-free, isotropic, stationary and homogeneous velocity field, whose characteristic parameters are well reproduced, in particular the kinematic viscosity and energy spectrum. This practical approach to tailor a turbulent flow is justified by its versatility when analizing different physical processes occurring in advectely mixed systems. Here, we focuss on an application to study the dynamics of Planktonic populations in the ocean.
  • References (8)

    1. A.S. Monin and A.M. Yaglom, Statistical Fluid Mechanics (MIT, Cambridge, MA, 1975). 2. W.D. McComb, The Physics of Fluid Turbulence (Oxford University, Oxford, 1990). 3. A.C. Martí, J.M. Sancho, F. Sagués and A. Careta, Phys. Fluids 9, 1078 (1997). 4. R.H. Kraichnan, Phys. Fluids 13, 22 (1970).

    5. R. Reigada, A.C. Martí, F. Sagués, I.M. Sokolov and J.M. Sancho, Phys. Rev. E 62, 4997 (2000). 6. R. Reigada, F. Sagués and J.M. Sancho, Phys. Rev. E 64, 026307 (2001). 7. R. Reigada, F. Sagués, I.M. Sokolov, J.M. Sancho and A. Blumen, Phys. Rev. Lett. 78, 741 (1997). 8. R. Reigada, F. Sagués and J.M. Sancho, J. Chem. Phys. 117, 258 (1998). 9. A.C. Martí, F. Sagués and J. M. Sancho, Phys. Fluids 9, 3851 (1997). 10. A. M. Lacasta, J. M. Sancho and F. Sagués, Phys. Rev. Lett. 75, 1791 (1995). 11. M.R. Maxey and J.J. Riley, Phys. Fluids 26, 883 (1983).

    12. M.R. Maxey, J. Fluid Mech. 174, 441 (1987).

    13. P. J. S. Franks, Limnol. Oceanogr. 42, 1297 (1997).

    14. E.R. Abraham, Nature 39, 577 (1998).

    15. C.L. Folt and C.W. Burns, TREE 14 300 (1999).

    16. J.E. Truscott and J. Brindley, Bull. Math. Biol. 56, 981 (1994). 17. Z. Neufeld, P.H. Haynes, V.C. Garçon and J.Sudre, Geophys. Res. Lett. 29, 1029 (2002). 18. A. Okubo, Deep-Sea Research 18, 789 (1971).

    19. K.D. Squires and H. Yamazaki, Deep-Sea Research I 42, 1989 (1995). 20. R. Reigada, R.M. Hillary, M.A. Bees, J.M. Sancho and F. Sagués, (in preparation). 21. J.M. Sancho, M.A. Santos, S. Alonso and F. Sagués, (in this volume).

  • Metrics
    No metrics available
Share - Bookmark