A Lagrangian Stochastic Model for Sea-Spray Evaporation in the Atmospheric Marine Boundary Layer
Tóm tắt
The dispersion of heavy particles subjected to a turbulent forcing is often simulated with Lagrangian stochastic models. Although these models have been employed successfully over land, the implementation of traditional LS models in the marine boundary layer is significantly more challenging. We present an adaptation of traditional Lagrangian stochastic models to the atmospheric marine boundary layer with a particular focus on the representation of the scalar turbulence for temperature and humidity. In this new model, the atmosphere can be stratified and the bottom boundary is represented by a realistic wavy surface that moves and deforms. Hence, the correlation function for the turbulent flow following a particle is extended to the inhomogenous, anisotropic case. The results reproduce behaviour for scalar Lagrangian turbulence in a stratified airflow that departs only slightly from the expected behaviour in isotropic turbulence. When solving for the surface temperature and the radius of evaporating heavy water droplets in the airflow, the modelled turbulent forcing on the particle also behaves remarkably well. We anticipate that this model will prove especially useful in the context of sea-spray dispersion and its associated sensible heat, latent heat, and gas fluxes between spray droplets and the atmosphere.
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Tài liệu tham khảo
Andreas EL (1990) Time constants for the evolution of sea spray droplets. Tellus B 42(5): 481–497
Andreas EL (1995) The temperature of evaporating sea spray droplets. J Atmos Sci 52(7): 852–862
Corrsin S (1963) Estimates of the relations between Eulerian and Lagrangian scales in large Reynolds number turbulence. J Atmos Sci 20: 115–119
Couzinet A (2008) Approche PDF jointe fluide-particule pour la modelisation des ecoulements turbulents diphasiques anisothermes. PhD dissertation, LInstitut National Polytechnique de Toulouse, 185 pp
Du S, Sawford BL, Wilson JD, Wilson DJ (1995) Estimation of the Kolmogorov constant (C 0) for the Lagrangian structure function, using a second-order Lagrangian stochastic model of grid turbulence. Phys Fluids 7: 3083–3090
Edson JB, Fairall CW (1994) Spray droplet modeling. 1. Lagrangian model simulation of the turbulent transport of evaporating droplets. J Geophys Res 99(C12): 25295–25311
Edson JB, Fairall CW (1998) Similarity relationships in the marine atmospheric surface layer for terms in the tke and scalar variance budgets. J Atmos Sci 55: 2311–2328
Elfouhaily T, Chapron B, Katsaros K, Vandemark D (1997) A unified directional spectrum for long and short wind-driven waves. J Geophys Res 102: 15781–15796
Inoue E (1952) On the Lagrangian correlation coefficient of turbulent diffusion and its application to atmospheric diffusion phenomena. Geophys Res Pap No 19: 397–412
Kolmogorov AN (1941) The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. CR Dokl Acad Sci URSS 30: 301–305
Kolmogorov AN (1962) A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J Fluid Mech 13: 82–85
Liu WT, Katsaros KB, Businger JA (1979) Bulk parameterization of air–sea exchanges of heat and water-vapor including the molecular contraints at the interface. J Atmos Sci 36(9): 1722–1735
Moissette S, Oesterle B, Boulet P (2001) Temperature fluctuations of discrete particles in a homogenous turbulent flow: a lagrangian model. Int J Heat Fluid Flow 22: 220–226
Mueller JA, Veron F (2009a) Nonlinear formulation of the bulk surface stress over breaking waves: feedback mechanisms from air-flow separation. Boundary-Layer Meteorol. doi:10.1007/s10546-008-9334-6
Mueller JA, Veron F (2009b) A Lagrangian stochastic model for heavy particle dispersion in the atmospheric marine boundary layer. Boundary-Layer Meteorol. doi:10.1007/s10546-008-9340-8
Mueller JA, Veron F (2009c) Bulk formulation of the heat and water vapor fluxes at the air–sea interface including nonmolecular contributions. J Atmos Sci 67(1): 234–247
Rodean HC (1996) Stochastic Lagrangian models of turbulent diffusion. American Meteorological Society, Boston, p 84
Taylor GI (1921) Diffusion by continuous movements. Proc London Math Soc Ser 2(20): 196–212
Thomson DJ (1987) Criteria for the selection of stochastic models of particle trajectories in turbulent flows. J Fluid Mech 180: 529–556
van Driest ER (1956) On turbulent flow near a wall. J Aeronaut Sci 23: 1007–1011
Yeung PK (2002) Lagrangian investigations of turbulence. Annu Rev Fluid Mech 34: 115–142