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Lagrangian drift in a permeable bottom layer induced by internal gravity waves Cover

Lagrangian drift in a permeable bottom layer induced by internal gravity waves

Open Access
|Jan 2021

References

  1. Acevedo, O. C. , Moraes, O. L. L. , da Silva, R. , Fitzjarrald, D. R. , Sakai, R. K. and co-authors. 2004. Inferring nocturnal surface fluxes from vertical profiles of scalars in an Amazon pasture. Global Change Biol. 10 , 886894. doi:10.1111/j.1529-8817.2003.00755.x
  2. Al-Zanaidi, M. A. and Dore, B. D. 1976. Some aspects of internal wave motion. Pure Appl. Geophys. 114 , 403414. doi:10.1007/BF00876940
  3. Baynton, H. W. , Biggs, W. G. , Hamilton, H. L., Jr. Sherr, P. E. and Worth, J. J. B. 1965. Wind structure in and above a tropical forest. J. Appl. Meteorol. Climatol. 4 , 670675. doi:10.1175/1520-0450(1965)004<;0670:WSIAAA>2.0.CO;2
  4. Bear, J. 1972. Dynamics of Fluids in Porous Media. American Elsevier Publ. Comp. N.Y., USA.
  5. Belcher, S. E. , Harman, I. N. and Finnigan, J. J. 2012. The wind in the willows: Flows in forest canopies in complex terrain. Ann. Rev. Fluid Mech. 44 , 479504. doi:10.1146/annurev-fluid-120710-101036
  6. Belcher, S. E. , Jerram, N. and Hunt, J. C. R. 2003. Adjustment of a turbulent boundary layer to a canopy of roughness elements. J. Fluid Mech. 488 , 369398. doi:10.1017/S0022112003005019
  7. Bühler, O. 2014., Waves and Mean Flows . 2nd ed. Cambridge University Press, Cambridge, UK.
  8. Charney, J. G. and Eliassen, A. 1949. A numerical method for predicting the perturbations of the middle latitude westerlies. Tellus 1 , 3854.
  9. Clamond, D. 2007. On the Lagrangian description of steady surface gravity waves. J. Fluid Mech. 589 , 433454. doi:10.1017/S0022112007007811
  10. do Couto-Santos, F. R. and Luizão, F. J. 2010. Fine litter accumulation in Central Amazonian tropical rainforest canopy. Acta Amazonica 40 , 781786. doi:10.1590/S0044-59672010000400021
  11. Finnigan, J. 2000. Turbulence in plant canopies. Annu. Rev. Fluid Mech. 32 , 519571. doi:10.1146/annurev.fluid.32.1.519
  12. Fitzjarrald, D. R. , Moore, K. E. , Cabral, O. M. R. , Scolar, J. , Manzi, A. O. and co-authors. 1990. Daytime turbulent exchange between the Amazon Forest and the atmosphere. J. Geophys. Res. 95 , 825816. 838.
  13. Gaster, M. 1962. A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability. J. Fluid Mech. 14 , 222224. doi:10.1017/S0022112062001184
  14. Gill, A. D. and Clarke, A. J. 1974. Wind-induced upwelling, coastal currents and sea-level changes. Deep-Sea Res. 21 , 325345.
  15. Kandel, H. N. and Pascal, J. P. 2013. Inclined fluid-film flow with bottom filtration. Phys. Rev. E 88 , 052405. doi:10.1103/PhysRevE.88.052405
  16. Lācis, U. , Sudhakar, Y. , Pasche, S. and Bagheri, S. 2020. Transfer of mass and momentum at rough and porous surfaces. J. Fluid Mech. 884 , A21. doi:10.1017/jfm.2019.897
  17. Lamb, H. 1932. Hydrodynamics . 6th ed. Cambridge University Press, Cambridge, UK.
  18. Levy, T. and Sanchez-Palencia, E. 1975. On the boundary conditions for fluid flow in porous media. Int. J. Eng. Sci. 13 , 923940. doi:10.1016/0020-7225(75)90054-3
  19. Longuet-Higgins, M. S. 1953. Mass transport in water waves. Philos. Trans. Roy. Soc. London A 245 , 535581.
  20. Luhar, M. , Coutu, S. , Infantes, E. , Fox, S. and Nepf, H. 2010. Wave-induced velocities inside a model seagrass bed. J. Geophys. Res. 115 , C12005. doi:10.1029/2010JC006345
  21. Masuoka, T. and Takatsu, Y. 1996. Turbulence model for flow through porous media. Int. J. Heat Mass Transfer 39 , 28032809. doi:10.1016/0017-9310(95)00353-3
  22. Phillips, O. M. 1976. The Dynamics of the Upper Ocean . 2nd ed. Cambridge University Press, Cambridge, UK.
  23. Pierson, W. J. 1962. Perturbation analysis of the Navier-Stokes equations in Lagrangian form with selected solutions. J. Geophys. Res. 67 , 31513160. doi:10.1029/JZ067i008p03151
  24. Raupach, M. R. and Thom, A. S. 1981. Turbulence in and above plant canopies. Annu. Rev. Fluid Mech. 13 , 97129. doi:10.1146/annurev.fl.13.010181.000525
  25. Reid, R. O. and Kajiura, K. 1957. On the damping of gravity waves over a permeable sea bed. Trans. Am. Geophys. Union 38 , 662666. doi:10.1029/TR038i005p00662
  26. Sanderson, B. 1985. A Lagrangian solution for internal waves. J. Fluid Mech. 152 , 191202. doi:10.1017/S0022112085000647
  27. Stokes, G. G. 1847. On the theory of oscillatory waves. Trans. Cam. Phil. Soc. 8 , 441455.
  28. Sutherland, B. R. 2010. Internal Gravity Waves . Cambridge University Press, Cambridge, UK.
  29. Webber, J. J. and Huppert, H. E. 2020. Stokes drift in coral reefs with depth-varying permeability. Philos. Trans. A Math. Phys. Eng. Sci. 378 , 20190531.
  30. Weber, J. E. 2019a. A Lagrangian study of internal Gerstner- and Stokes-type gravity waves. Wave Motion 88 , 257264. doi:10.1016/j.wavemoti.2019.06.002
  31. Weber, J. E. 2019b. Lagrangian studies of wave-induced flows in a viscous ocean. Deep-Sea Res. Part II 160 , 6881. doi:10.1016/j.dsr2.2018.10.011
  32. Weber, J. E. , Christensen, K. H. and Broström, G. 2014. Stokes drift in internal equatorial Kelvin waves: continuous stratification versus two-layer models. J. Phys. Oceanogr. 44 , 591599. doi:10.1175/JPO-D-13-0135.1
  33. Weber, J. E. and Ghaffari, P. 2021. Lagrangian drift in an anisotropic porous layer. Transp. Porous Med. (in revision).
  34. Wood, B. D. , He, X. and Apte, S. V. 2020. Modelling turbulent flows in porous media. Annu. Rev. Fluid Mech. 52 , 171203. doi:10.1146/annurev-fluid-010719-060317
  35. Wunsch, C. 1973. On the mean drift in large lakes. Limnol. Oceanogr. 18 , 793795. doi:10.4319/lo.1973.18.5.0793
Language: English
Page range: 1877461 - 1877461
Published on: Jan 1, 2021
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2021 Jan Erik H. Weber, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.