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Lagrangian models of dispersion in marine environment

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Abstract

Turbulent dispersion can be studied successfully by using Lagrangian particle models. In general, the prediction of correct concentration fields is a complex issue when the turbulent field is inhomogeneous and non-stationary. Two classes of Lagrangian dispersion models have been considered in this work, which are based on the Wiener process and the so called “well-mixed” criterion. In order to test the performances of these models and shed light on the underlying physical processes and modeling assumptions, four different numerical models have been compared and tested by means of their long time behavior by considering several study cases concerning idealized marine environment. Furthermore, the coupling of the community model Princeton Ocean Model (POM) with the Lagrangian model LASEMOD (LAgrangian SEa MODel) is used to investigate the temporal and spatial evolution of a passive pollutant released in the vicinity of the coast in the Tyrrhenian Sea basin. The simulation shows with reasonable accuracy the time evolution of both the hydrodynamic and the concentration fields and provides a useful insight into the evaluation of the environmental impact of pollutant releases along the coast.

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References

  1. Thomson DJ (1987) Criteria for the selection of stochastic models of particle trajectories in turbulent flows. J Fluid Mech 180: 529–556

    Article  CAS  Google Scholar 

  2. Arnold L (1974) Stochastic differential equations. Wiley, New York

    Google Scholar 

  3. Zannetti P (1990) Air pollution modeling. Van Nostrand Reynhold, New York

    Google Scholar 

  4. Griffa A, Kirwan AD Jr, Mariano AJ, Rossby T, Rossby T (2007) Lagrangian analysis and prediction of coastal and ocean dynamics. Cambridge University Press, Cambridge

    Book  Google Scholar 

  5. Luhar AK, Britter RE (1989) A random walk model for dispersion in inhomogeneous turbulence in a convective boundary layer. Atmos Environ 23: 1911–1924

    Article  CAS  Google Scholar 

  6. Flesh TK, Wilson JD (1992) A two-dimensional trajectory simulation model for non-Gaussian, inhomogeneous turbulence within plant canopies. Boundary-Layer Meteorol 61: 349–374

    Article  Google Scholar 

  7. Leuzzi G, Monti P (1998) Particle trajectory simulation of dispersion around a building. Atmos Environ 32: 203–214

    Article  CAS  Google Scholar 

  8. Buffoni G, Falco P, Griffa A, Zambianchi E (1997) Dispersion process and residence times in a semi-enclosed basin with recirculating gyres: an application to the Tyrrhenian Sea. J Geophys Res 102(C8): 18699–18713

    Article  Google Scholar 

  9. Dutkiewicz S, Griffa A, Olson D (1993) Particle diffusion in a meandering jet. J Geophys Res 98(C9): 16487–16500

    Article  Google Scholar 

  10. Falco P, Griffa A, Poulain P-M, Zambianchi E (2000) Transport properties in the Adriatic Sea as deduced from drifter data. J Phys Oceanogr 30: 2055–2071

    Article  Google Scholar 

  11. Veneziani M, Griffa A, Reynolds AM, Mariano AJ (2004) Oceanic turbulence and stochastic models from surface subsurface Lagrangian data for the northwest Atlantic Ocean. J Phys Oceanogr 34: 1884–1906

    Article  Google Scholar 

  12. Pierini S, Simioli A (1998) A wind-driven circulation model of the Tyrrhenian Sea area. J Mar Syst 18: 161–178

    Article  Google Scholar 

  13. Pierini S, Rubino A (2001) Modeling the oceanic circulation in the area of the Strait of Sicily: the remotely forced dynamics. J Phys Oceanogr 31: 1397–1412

    Article  Google Scholar 

  14. Pinardi N, Zavatarelli M, Arneri E, Crise A, Ravaioli M (2005) The physical, sedimentary and ecological structure and variability of shelf areas in the Mediterranean Sea. In: Robinson AE, Brink KH (eds) The global coastal ocean, vol 14. Wiley, Chichester, pp 1245–1331

    Google Scholar 

  15. Malanotte-Rizzoli P et al (1999) The eastern Mediterranean in the 80s and in the 90s: the big transition in the intermediate and deep circulation. Dyn Atmos Ocean 29: 365–395

    Article  Google Scholar 

  16. Gasparini GP, Zodiatis G, Astraldi M, Galli C, Sparnocchia S (1999) Intermediate water lens in the Ligurian Sea. J Mar Syst 20: 319–332

    Article  Google Scholar 

  17. Astraldi M, Gasparini GP, Vetrano A, Vignudelli S (2002) Hydrographic characteristics and interannual variability of water masses in the central Mediterranean: a sensitivity test for long-term changes in the Mediterranean Sea. Deep Sea Res Part I 49: 661–680

    Article  CAS  Google Scholar 

  18. Sparnocchia S, Gasparini GP, Astraldi M, Borghini M, Pistek P (1999) Dynamics and mixing of the eastern Mediterranean outflow in the Tyrrhenian basin. J Mar Syst 20: 301–317

    Article  Google Scholar 

  19. Vetrano A, Gasparini GP, Molcard R, Astraldi M (2004) Water flux estimates in the central Mediterranean Sea from an inverse box model. J Geophys Res 109: C01019

    Article  Google Scholar 

  20. Poulain P-M, Zambianchi E (2007) Near-surface circulation in the central Mediterranean Sea as deduced from Lagrangian drifters in the 1990s. Cont Shelf Res 27: 981–1001

    Article  Google Scholar 

  21. Rinaldi E, Buongiorno Nardelli B, Zambianchi E, Santoleri R, Poulain P-M (2010) Lagrangian and Eulerian observations of the surface circulation in the Tyrrhenian Sea. J Geophys Res 115: C04024

    Article  Google Scholar 

  22. Mellor GL (2002) User’s guide for a three dimensional primitive equation, numerical ocean model. Report, Program in atmospheric and oceanic sciences. Princeton University, Princeton, pp 42

  23. Hunter JR, Craig PD, Phillips HE (1993) On the use of random walk models with spatially variable diffusivity. J Comput Phys 106: 366–376

    Google Scholar 

  24. Al-Rabeh AH, Lardner RW, Gunay N (2000) Gulfspill version 2.0: a software package for oil spills in the Arabian Gulf. Environ Modell Softw 15: 425–442

    Article  Google Scholar 

  25. Zodiatis G, Lardner R, Hayes DR, Georgiu G, Sofianos S, Skliris N, Lascaratos A (2008) Operational ocean forecasting in the Eastern Mediterranean: implementation and evaluation. Ocean Sci 4: 31–47

    Article  Google Scholar 

  26. Monin AS, Yaglom AM (1971) Statistical fluid mechanics. The MIT Press, Cambridge

    Google Scholar 

  27. Sawford BL, Guest FM (1988) Uniqueness and universality of Lagrangian stochastic models of turbulent dispersion. In: Proceedings of the 8th symposium on turbulence and diffusion, San Diego, pp 96–99

  28. Pasquero C, Provenzale A, Babiano A (2001) Parameterization of dispersion in two-dimensional turbulence. J Fluid Mech 439: 279–303

    Article  CAS  Google Scholar 

  29. Monti P, Leuzzi G (1996) A closure to derive a three-dimensional well-mixed trajectory model for non-Gaussian, inhomogeneous turbulence. Boundary-Layer Meteorol 80: 311–331

    Article  Google Scholar 

  30. Leuzzi G, Purini R (2005) The effect of a promontory on the passive tracers advected by a coastal current: a full three-dimensional numerical study. Nuovo Cimento C 28: 61–74

    Google Scholar 

  31. Taylor GI (1921) Diffusion by continuous movement. Proc Lond Math Soc 20: 196–211

    Article  Google Scholar 

  32. Durbin PA (1983) Stochastic differential equations and turbulent dispersion. NASA reference publication 1103

  33. Spivakovskaya D, Heemink AW, Deleersnijder E (2007) Lagrangian modelling of multi-dimensional advection-diffusion with space-varying diffusivities: theory and idealized test case. Ocean Dyn 57: 189–203

    Article  Google Scholar 

  34. Blumberg AF, Mellor GL (1987) A description of a three-dimensional coastal ocean circulation model. In: Heaps N (eds) Three-dimensional ocean models, 4 edn. AGU, Washington, DC, p 208

    Google Scholar 

  35. Mellor GL, Yamada T (1982) Development of a turbulence closure model for geophysical fluid problems. Rev Geophys 20: 851–875

    Article  Google Scholar 

  36. Kondo J (1975) Air-sea bulk transfer coefficients in diabatic conditions. Boundary-Layer Meteorol 9: 91–112

    Article  Google Scholar 

  37. Ferrero E, Trini Castelli S, Anfossi D (2003) Turbulence fields for atmospheric dispersion models in horizontally non-homogeneous conditions. Atmos Environ 37: 2305–2315

    Article  CAS  Google Scholar 

  38. Visser AW (1997) Using random walk models to simulate the vertical distribution of particles in a turbulent water column. Mar Ecol Prog Ser 158: 275–281

    Article  CAS  Google Scholar 

  39. North EW, Hood RR, Chao S-Y, Sanford LP (2006) Using a random displacement model to simulate turbulent particle motion in a baroclinic frontal zone: a new implementation scheme and model performance test. J Mar Syst 60: 365–380

    Article  Google Scholar 

  40. Picco P (1990) Climatological atlas of the western Mediterranean. ENEA, Rome, p 224

  41. Pielke RA, Cotton WR, Walko RL, Tremback CJ, Lyons WA, Grasso LD, Nicholls ME, Moran MD, Wesley DA, Lee TJ, Copeland JH (1992) A comprehensive meteorological modelling system—RAMS. Meteorol Atmos Phys 49: 69–91

    Article  Google Scholar 

  42. Cotton WR, Pielke A, Walko RL, Liston GE, Tremback CJ, Jiang H, McAnnelly RL, Harrington JY, Nicholls ME, Carrio GG, McFadden JP (2003) RAMS 2001: current status and future directions. Metorol Atmos Phys 82: 5–29

    Article  Google Scholar 

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Monti, P., Leuzzi, G. Lagrangian models of dispersion in marine environment. Environ Fluid Mech 10, 637–656 (2010). https://doi.org/10.1007/s10652-010-9184-x

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  • DOI: https://doi.org/10.1007/s10652-010-9184-x

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