Modeling the Surface Layer above Sea with Parameterization of Stratification and the Elements of the Wind Waves Influence
https://doi.org/10.7868/S2073667321020015
Abstract
The previously created one-dimensional model of wave boundary layer (hereinafter — WBL) was extended by including equations heat and vapor turbulent diffusion, formulas of heat surface flux and surface evaporation, stability functions for dissipation and turbulent coefficient. The numerical and input parameters of the model are described. The wave spectrum used in the model is considered. The set of experiment of simulating of stratified WBL structure under different condition was run. Coefficients of momentum (drag coefficient) heat and vapor exchange were evaluated. The coefficients were compared with the similar coefficients calculated by COARE algorithm; it is the commonly used method of surface turbulent flux calculation. It is shown that stratification has influence exchange in WBL in the cases of moderate and weak wind. Age of wave has an impact on momentum exchange under strong wind. The result could be used for formulating new methods of evaluating of sea surface turbulent fluxes or tuning of existed ones.
About the Authors
K. Yu. Bulgakov
Shirshov Institute of Oceanology of RAS
Russian Federation
Russian Federation
117997, Nahimovsky Pr., 36, Moscow
K. V. Fokina
Russian State Hydrometeorological University
Russian Federation
Russian Federation
195196, Malookhtinsky Pr., 98, St. Petersburg
References
1. Monin A.S., Yaglom A.M. Statistical fluid mechanics: mechanics of turbulence. Cambridge, M.I.T. Press, 1971. 770 p.
2. Brunke M.A., Fairall С.W., Zeng X., Eymard L., Curry J.A. Which bulk aerodynamic algorithms are least problematic in computing ocean surface turbulent flux. J. Climate. 2003, 16, 619–635. doi: 10.1175/1520–0442(2003)016<0619:WBAAAL>2.0.CO;2
3. Fairall С.W., White A.B., Edson J.B., Hare J.E. Integrated shipboard measurements of the marine boundary layer. J. Atmos. Oceanic Technol. 1997, 14, 338–359. doi: 10.1175/1520–0426(1997)014<0338:ISMOTM>2.0.CO;2
4. Finkelstein P.L., Sims P.F. Sampling error in eddy correlation flux measurements. J. Geophys. Res. Atmos. 2001, 106, 3503–3509. doi: 10.1029/2000JD900731
5. Chalikov D.V., Bulgakov K. Yu. The structure of surface layer above sea. Fundam. Prikl. Gidrofiz. 2019, 12, 2, 50–65 (in Russian). doi: 10.7868/S20736673190200726
6. Chalikov D., Babanin A.V. Parameterization of wave boundary layer. Atmosphere. 2019, 10, 11. doi: 10.3390/atmos10110686
7. Chalikov D., Rainchik S. Coupled numerical modelling of wind and waves and the theory of the wave boundary layer. Boundary-Layer Meteorol. 2010, 138, 1, 1–41. doi: 10.1007/s10546–010–9543–7
8. Högström U. Non-dimensional wind and temperature profiles in the atmospheric surface layer: A re-evaluation. Boundary-Layer Meteorol. 1988, 42, 1, 55–78. doi: 0.1007/BF00119875
9. Businger J.A. A note on the Businger-Dyer profiles. Boundary-Layer Meteorol. 1988, 42, 145–151. doi: 10.1007/BF00119880
10. Grashev A.A., Andreas E.L., Fairall C.W., Guest P.S., Person P.O.G. SHEBA flux-profile relationships in the stable atmosphere boundary layer. Boundary-Layer Meteorol. 2007, 124, 315–333. doi: 10.1029/2000JC000411
11. Malin M.R. On the calculation of heat transfer rates in fully turbulent wall flows. Appl. Math. Modeling. 1987, 11, 281– 284. doi: 10.1016/0307–904X(87)90143–0
12. Launder B.E., Spalding D.B. The numerical computation of turbulent flow. Comp. Methods. Appl. Mech. Eng. 1974, 3, 269–289. doi: 10.1016/0045–7825(74)90029–2
13. Brutsaert W. A theory for local evaporation (or heat transfer) from rough and smooth surface at ground level. Water Resour. Res. 1975, 11, 4, 543–550. doi: 10.1029/WR011i004p00543
14. Back A.L. New equation of computing vapor pressure and enhancement factor. J. Appl. Meteor. 1981, 20, 1527–1532. doi: 10.1175/1520–0450(1981)020<1527:NEFCVP>2.0.CO;2
15. Miles J.W. On the generation of surface waves by shearflows. J. Fluid Mech. 1957, 3, 2, 185–204. doi: 10.1017/S0022112057000567
16. Hasselmann K., Barnett R.P., Bouws E. et al. Measurements of wind-wave growth and swell decay during the Joint Sea Wave Project (JONSWAP). Deutsches Hydrogr. Inst., 1973. 95 p.
17. Babanin A.V., Soloviev Yu.P. Parameterization of width of directional energy distributions of wind-generated waves at limited fetches. Izv. Atmos. Ocean. Phys. 1987, 23, 645–651.
18. Pierson W.J., Moscowitz L. A proposed spectral form for fully developed wind seas based on the similarity theory of S.A. Kitaigorodskii. J. Geophys. Res. 1964, 69, 24, 5181–5190. doi: 10.1029/JZ069i024p05181
19. Donelan M.A. Air-sea interaction. The Sea. 1990, 9, 239–292. doi: 10.5772/15385
20. Fairall C.W., Bradley E.F., Hare J.E., Grachev A.A., Edson J.B. Bulk parameterization of air-sea fluxes: updates and verification for COARE Algorithm. J. Climate. 2003, 16, 571–591. doi: 10.1175/1520–0442(2003)016<0571:BPOASF>2.0.CO;2
Review
For citations:
Bulgakov K.Yu., Fokina K.V. Modeling the Surface Layer above Sea with Parameterization of Stratification and the Elements of the Wind Waves Influence. Fundamental and Applied Hydrophysics. 2021;14(2):3-16. (In Russ.) https://doi.org/10.7868/S2073667321020015
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