A new parameterization of surface drag in the marginal sea ice zone

Gerit Birnbaum; Christof Lüpkes

doi:10.3402/tellusa.v54i1.12121

A new parameterization of surface drag in the marginal sea ice zone

Tellus

Volume 54 (2002): Issue 1

By: Gerit Birnbaum and Christof Lüpkes

Open Access

|Jan 2002

Abstract

A parameterization of subgrid scale surface fluxes over the marginal sea ice zone which has been used earlier in several studies is modified and applied to a nonhydrostatic mesoscale model. The new scheme accounts for the form drag of ice floes and is combined with a so-called flux averaging method for the determination of surface fluxes over inhomogeneous terrain. Individual fluxes over ice and water are calculated as a function of the blending height. It is shown by comparison with observations that the drag coefficients calculated with the new parameterization agree well with data. The original scheme strongly over estimates the form drag effect. An improvement is mainly obtained by an inclusion of stratification and by use of a more adequate coefficient of resistance for individual ice floes. The mesoscale model is applied to office flows over the polar marginal sea ice zone. The model results show that under certain meteorological conditions the form drag can have a strong influence on the near-surface wind velocity and on the turbulent fluxes of momentum. Four case studies are carried out. The maximum influence of form drag occurs in the case with strong unstable stratification and with wind oblique to the ice edge. Under these conditions the wind stress on sea ice is modified by at least 100% for ice concentrations less than 50% if form drag is taken into account.

References

Arya , S. P. S. 1975 . A drag-partition theory for determining the large-scale roughness parameter and wind stress on Arctic pack ice . J. Geophys. Res . 80 , 3447 – 3454 .
Search in Google Scholar Back to article
Banke , E. G. and Smith , S. D. 1975 . Measurement of form drag on ice ridges . AID JEX Bull . 28 , 21 – 27 .
Search in Google Scholar Back to article
Charnock , H. 1955 . Wind stress on a water surface . Q. J. R. Meteorol. Soc . 81 , 639 – 640 .
Search in Google Scholar Back to article
Clarke , R. H. 1970 . Recommended methods for the treatment of the boundary layer in numerical models . Aust. Meteor. Mag . 18 , 51 – 71 .
Search in Google Scholar Back to article
Claussen , M. 1990 . Area-averaging of surface fluxes in a neutrally stratified, horizontally inhomogeneous atmospheric boundary layer . Atm. Environ . 24A , 1349 – 1360 .
Search in Google Scholar Back to article
Claussen , M. 1991a . Local advection processes in the surface layer of the marginal ice zone . Boundary-Layer Meteorol . 54 , 1 – 27 .
Search in Google Scholar Back to article
Claussen , M. 1991b . Estimation of areally-averaged surface fluxes . Boundary-Layer Meteorol . 54 , 387 – 410 .
Search in Google Scholar Back to article
Dyer , A. J. 1974 . A review of flux-profile relationship . Boundary-Layer Meteorol . 7 , 363 – 372 .
Search in Google Scholar Back to article
Dierking , W. 1995 . Laser profiling of the ice surface topography during the winter Weddell Gyre study 1992 . J. Geophys. Res . 100 , 4807 – 4820 .
Search in Google Scholar Back to article
Garbrecht , T. , Ltipkes , C. , Augstein , E. and Wamser , C. 1999 . The influence of a sea ice ridge on the low level air flow. J. Geophys. Res . 104 ( D20 ), 24499 – 24507 .
Search in Google Scholar Back to article
Hanssen-Bauer , I. and Gjessing , Y. T. 1988 . Observations and model calculations of aerodynamic drag on sea ice in the Fram Strait . Tellus 40A , 151 – 161 .
Search in Google Scholar Back to article
Hartmann , J. , Kottmeier , C. and Wamser , C. 1992 . Radi-ation and eddy flux experiment 1991 (REFLEX I). Reports on Polar Res . Vol. 105 , Alfred Wegener Institute , Bremerhaven , 72 pp.
Search in Google Scholar Back to article
Hartmann , J. , Kottmeier , C. , Wamser , C. and Augstein , E. 1994 . Aircraft measured atmospheric momentum, heat and radiation fluxes over Arctic sea ice. In: The polar oceans and their role in shaping the global environment (eds O. M. Johannessen , R. D. Muench and J. E. Overland ). American Geophysical Union, Wash-ington, DC , 443 - 454 .
Search in Google Scholar Back to article
Hartmann , J. , Bochert , A. , Freese , D. , Kottmeier , C. , Nagel , D. and Reuter , A. 1997 . Radiation and eddy flux experiment 1995 (REFLEX III). Reports on Polar Res . Vol. 218 , Alfred Wegener Institute , Bremerhaven , 74 pp.
Search in Google Scholar Back to article
Herbert , F. and Kramm , G. 1985 . Trockene Deposition reaktionsträger Substanzen, beschrieben mit einem diagnostischen Modell der bodennahen Luftschicht . In: Atmosphdrische Spurenstoffe und ihr physikalisch-chemisches Verhalten (eds. K. H. Becker and J. Lobel ). Springer Press , Berlin , 264 pp .
Search in Google Scholar Back to article
Hibler , W. D., III 1979 . A dynamic thermodynamic sea ice model. J. Phys. Oceanogr . 9 , 9 – 846 .
Search in Google Scholar Back to article
Kottmeier , C. , Hartmann , J. , Wamser , C. , Bochert , A. , Ltipkes , C. , Freese , D. and Cohrs , W. 1994 . Radiation and eddy flux experiment 1993 (REFLEX II). Reports on Polar Res . Vol. 133 , Alfred Wegener Institute , Bremerhaven , 62 pp.
Search in Google Scholar Back to article
Lüpkes , C. and Schltinzen , K. H. 1996 . Modelling the arctic convective boundary-layer with different turbu-lence parameterizations . Boundary-Layer Meteorol . 79 , 107 – 130 .
Search in Google Scholar Back to article
Mai , S. 1995 . Beziehungen zwischen geometrischer und aerodynamischer Oberflächenrauhigkeit arktischer Meereisflächen . M.Sc. Thesis , University of Bremen , 75 pp .
Search in Google Scholar Back to article
Mai , S. , Wamser , C. and Kottmeier , C. 1996 . Geometric and aerodynamic roughness of sea ice . Boundary-Layer Meteorol . 77 , 233 – 248 .
Search in Google Scholar Back to article
Orlanski , I. 1976 . A simple boundary condition for unbounded hyperbolic flows . J. Compat. Phys . 21 , 251 – 269 .
Search in Google Scholar Back to article
Schlünzen , K. H. 1988 . Das mesoskalige Transport-und Strömungsmodell `METRAS’ — Grundlagen, Validierung, Anwendung. Geophysikalische Einzel-schriften, Vol. A88, Meteorological Institute, Univer-sity of Hamburg, 139 pp.
Search in Google Scholar Back to article
Schlünzen , K. H. 1990 . Numerical studies on the inland penetration of sea breeze fronts at a coastline with tidally flooded mudflats . Beitr. Phys. Atmosph . 63 , 243 – 256 .
Search in Google Scholar Back to article
von Salzen , K. , Claussen , M. and Schltinzen , K. H. 1996 . Application of the concept of blending height to the calculation of surface fluxes in a mesoscale model . Meteorol. Z . 5 , 60 – 66 .
Search in Google Scholar Back to article
Wefelmeier , C. 1992 . Numerische Simulation mesoska-liger, dynamischer Wechselwirkungen zwischen Atmo-sphäre, Eis und Ozean. Reports of the Institute for Meteorology and Climatology , Vol. 42 , University of Hannover , 141 pp.
Search in Google Scholar Back to article
Wu , J. 1980 . Wind stress coefficients over sea surface near neutral conditions — a revisit . J. Phys. Oceanogr . 10 , 727 – 740 .
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.3402/tellusa.v54i1.12121 | Journal eISSN: 3035-9554

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Language: English

Page range: 107 - 123

Submitted on: Aug 31, 2000

Accepted on: Jun 18, 2001

Published on: Jan 1, 2002

Published by: Stockholm University Press

In partnership with: Paradigm Publishing Services

© 2002 Gerit Birnbaum, Christof Lüpkes, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 54 (2002): Issue 1