Abstract
An ice microphysics parameterization scheme has been modified to better describe and understand ice fog formation. The modeling effort is based on observations in the Sub-Arctic Region of Interior Alaska, where ice fog occurs frequently during the cold season due to abundant water vapor sources and strong inversions existing near the surface at extremely low air temperatures. The microphysical characteristics of ice fog are different from those of other ice clouds, implying that the microphysical processes of ice should be changed in order to generate ice fog particles. Ice fog microphysical characteristics were derived with the NCAR Video Ice Particle Sampler during strong ice fog cases in the vicinity of Fairbanks, Alaska, in January and February 2012. To improve the prediction of ice fog in the Weather Research and Forecasting model, observational data were used to change particle size distribution properties and gravitational settling rates, as well as to implement a homogeneous freezing process. The newly implemented homogeneous freezing process compliments the existing heterogeneous freezing scheme and generates a higher number concentration of ice crystals than the original Thompson scheme. The size distribution of ice crystals is changed into a Gamma distribution with the shape factor of 2.0, using the observed size distribution. Furthermore, gravitational settling rates are reduced for the ice crystals since the crystals in ice fog do not precipitate in a similar manner when compared to the ice crystals of cirrus clouds. The slow terminal velocity plays a role in increasing the time scale for the ice crystals to settle to the surface. Sensitivity tests contribute to understanding the effects of water vapor emissions as an anthropogenic source on the formation of ice fog.
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Abbreviations
- a r_i :
-
7.22
- b r_i :
-
–0.35
- \( a_{\text{w,liq}} \) :
-
Water activity of solution in liquid phase
- \( \varDelta a_{\text{w}} \) :
-
Difference of water activity between liquid and ice
- D :
-
Diameter for an individual ice crystal
- HPP:
-
Heat and power plant
- IWC:
-
Ice water content
- J h :
-
Nucleation rate of haze droplets
- J s :
-
Nucleation rate of pure water
- M :
-
Molality of solution
- M w :
-
Molecular weight of pure water
- MOD:
-
Experiment with modified Thompson scheme
- MODIS:
-
Moderate resolution imaging spectroradiometer
- MSLP:
-
Mean sea level pressure
- MWMD:
-
Mass-weighted mean diameter
- NARR:
-
North American Regional Reanalysis
- NCEP:
-
National Center for Environment Prediction
- NOE:
-
Experiment without water vapor emission
- N c :
-
Number concentration of cloud droplets
- N f,h :
-
Number concentration of haze droplets freezing in time step
- N f,s :
-
Number concentration of cloud droplets freezing in time step
- N h :
-
Number concentration of haze droplets
- N i :
-
Number concentration of ice crystals
- n(D):
-
Size distribution
- OBS:
-
Observation
- ORG:
-
Experiment with original Thompson scheme
- q ve :
-
Water vapor mixing ratio emitted from the source
- q v :
-
Water vapor mixing ratio
- RAMS:
-
Regional atmospheric modeling system
- RH:
-
Relative humidity
- RRTMG:
-
Rapid Radiative Transfer Model for GCM application
- r h :
-
Radius of haze droplet
- SUCCESS:
-
SUbsonic aircraft: Contrail and Cloud Effects Special Study
- T :
-
Air temperature
- VIPS:
-
Video ice particle sampler
- V l :
-
The volume of droplets
- V h :
-
The volume of haze droplet
- v t :
-
Terminal velocity of ice crystal
- WRF:
-
Weather research and forecasting
- YSU:
-
Yonsei University
- α :
-
0.647 × 107
- β :
-
1.73
- Φ s :
-
Molal osmotic coefficient
- λ :
-
Scale factor
- μ :
-
Shape factor
- θ e :
-
Equivalent potential temperature
- υ :
-
Dissociation constant for solute
References
Benson, C. S., 1970: ICE FOG. Weather, 25, 11–18.
Bigg, E. K., 1953: The formation of atmospheric ice crystals by the freezing of droplets. Quart. J. Roy. Meteor. Soc., 79, 510–519.
Bigg, E. K., 1996: Ice forming nuclei in the high Arctic. Tellus, 48, 223–233.
Bowling, S. A., T. Ohtake, and C. S. Benson, 1968: Winter Pressure Systems and Ice Fog in Fairbanks, Alaska. J. Appl. Meteor., 7, 961–968.
Chelf, J. H. and S. T. Martin, 2001: Homogeneous ice nucleation in aqueous ammonium sulfate aerosol particles. Journal of Geophysical Research: Atmospheres, 106, 1215–1226.
Chen, Y., P. J. DeMott, S. M. Kreidenweis, D. C. Rogers, and D. E. Sherman, 2000: Ice Formation by Sulfate and Sulfuric Acid Aerosol Particles under Upper-Tropospheric Conditions. J. Atmos. Sci., 57, 3752–3766.
Cooper, W. A., 1986: Ice Initiation in Natural Clouds. Meteorological Monographs, 21, 29–32.
Curry, J. A., F. G. Meyer, L. F. Radke, C. A. Brock, and E. E. Ebert, 1990: Occurrence and characteristics of lower tropospheric ice crystals in the arctic. Inter. J. Climatology, 10, 749–764.
Curry, J. A., and Coauthors, 2000: FIRE Arctic Clouds Experiment. Bull. Amer. Meteor. Soc., 81, 5–29.
Cziczo, D. J., D. M. Murphy, P. K. Hudson, and D. S. Thomson, 2004: Single particle measurements of the chemical composition of cirrus ice residue during CRYSTAL-FACE. J. Geophy. Res.: Atmospheres, 109, doi:10.1029/2003jd004032.
DeMott, P. J. and D. C. Rogers, 1990: Freezing Nucleation Rates of Dilute Solution Droplets Measured between −30° and −40°C in Laboratory Simulations of Natural Clouds. J. Atmos. Sci., 47, 1056–1064.
DeMott, P. J., M. P. Meyers, and W. R. Cotton, 1994: Parameterization and Impact of Ice initiation Processes Relevant to Numerical Model Simulations of Cirrus Clouds. J. Atmos. Sci., 51, 77–90.
Girard, E. and J.-P. Blanchet, 2001: Microphysical Parameterization of Arctic Diamond Dust, Ice Fog, and Thin Stratus for Climate Models. J. Atmos. Sci., 58, 1181–1198.
Girard, E. and J.-P. Blanchet, 2001: Simulation of Arctic Diamond Dust, Ice Fog, and Thin Stratus Using an Explicit Aerosol–Cloud–Radiation Model. J. Atmos. Sci., 58, 1199–1221.
Grell G.A., S.E. Peckham, R. Schmitz, S.A. McKeen, G. Frost, W.C. Skamarock, and B Eder. 2005. Fully coupled ‘online’ chemistry in the WRF model. Atmos. Environ., 39:6957–6976.
Gultepe, I., T. Kuhn, M. Pavolonis, C. Calvert, J. Gurka, A. J. Heymsfield, P. S. K. Liu, B. Zhou, R. Ware, B. Ferrier, J. Milbrandt, and B. Bernstein, 2013: ICE FOG IN ARCTIC DURING FRAM-ICE FOG PROJECT: AVIATION AND NOWCASTING APPLICATIONS. Bull. Amer. Meteor. Soc. In Print.
Heymsfield, A., D. Baumgardner, P. DeMott, P. Forster, K. Gierens, and B. Kärcher, 2010: Contrail Microphysics. Bull. Amer. Meteor. Soc., 91, 465–472.
Heymsfield, A. J. and L. M. Miloshevich, 1993: Homogeneous Ice Nucleation and Supercooled Liquid Water in Orographic Wave Clouds. J. Atmos. Sci., 50, 2335-2353.
Heymsfield, A. J., R. P. Lawson, and G. W. Sachse, 1998: Growth of ice crystals in a precipitating contrail. Geophy. Res. Lett., 25, 1335–1338.
Hong, S. Y., Y. Noh, and J. Dudhia, 2006: A new vertical diffusion package with an explicit treatment of entrainment processes. Mon. Wea. Rev., 134, 2318–2341.
Huffman, P. J. and T. Ohtake, 1971: Formation and Growth of Ice Fog Particles at Fairbanks, Alaska. J. Geophys. Res., 76, 657–665.
Kärcher, B. and U. Lohmann, 2002: A parameterization of cirrus cloud formation: Homogeneous freezing of supercooled aerosols. J. Geophys. Res., 107, AAC 4-1-AAC 4-10.
Kim, C. and S. Yum, 2012: A Numerical Study of Sea-Fog Formation over Cold Sea Surface Using a One-Dimensional Turbulence Model Coupled with the Weather Research and Forecasting Model. Boundary-Layer Meteor., 143, 481–505.
Koop, T., B. Luo, A. Tsias, and T. Peter, 2000: Water activity as the determinant for homogeneous ice nucleation in aqueous solutions. Nature, 406, 611–614.
Kumai, M., 1966: Electron Microscopic Study of Ice-Fog and Ice-Crystal Nuclei in Alaska. J. Meteor. Soc. of Japan., 44, 185–194.
Kunkel, B. A., 1969: Comments on “A Generalized Equation for the Solution effect in Droplet Growth”. J. Atmos. Sci., 26, 1344–1344.
Kunkel, B. A., 1984: Parameterization of Droplet Terminal Velocity and Extinction Coefficient in Fog Models. J. Appl. Meteor., 23, 34–41.
Liu, X., J. E. Penner, S. J. Ghan, and M. Wang, 2007: Inclusion of Ice Microphysics in the NCAR Community Atmospheric Model Version 3 (CAM3). J. Climate, 20, 4526–4547.
Lohmann, U. and B. Kärcher, 2002: First interactive simulations of cirrus clouds formed by homogeneous freezing in the ECHAM general circulation model. J. Geophys. Res., 107, AAC 8-1-AAC 8-13.
Low, R. D. H., 1969: A Generalized Equation for the Solution Effect in Droplet Growth. J. Atmos. Sci., 26, 608–611.
Milbrandt, J. A. and M. K. Yau, 2005: A Multimoment Bulk Microphysics Parameterization. Part II: A Proposed Three-Moment Closure and Scheme Description. J. Atmos. Sci., 62, 3065–3081.
Ohtake, T. and P. J. Huffman, 1969: Visual Range in Ice Fog. J. Appl. Meteor., 8, 499–501.
Prenni, A. J., P. J. Demott, D. C. Rogers, S. M. Kreidenweis, G. M. McFarquhar, G. Zhang, and M. R. Poellot, 2009: Ice nuclei characteristics from M-PACE and their relation to ice formation in clouds. Tellus, 61, 436–448.
Prenni, A. J., P. J. DeMott, S. M. Kreidenweis, J. Y. Harrington, A. Avramov, J. Verlinde, M. Tjernström, C. N. Long, and P. Q. Olsson, 2007: Can Ice-Nucleating Aerosols Affect Arctic Seasonal Climate? Bull. Amer. Meteor. Soc., 88, 541–550.
Pruppacher, H. and J. klett, 1997: Microphysics of cloud and precipitation. Kluwer Academic, 955 pp.
Rogers, R. R. and M. K. Yau, 1989: A short course in cloud physics. 3 ed. Butterworth-Heinemann, 290 pp.
Sassen, K. and G. C. Dodd, 1989: Haze Particle Nucleation Simulations in Cirrus Clouds, and Applications for Numerical and Lidar Studies. J. Atmos. Sci., 46, 3005–3014.
Schmitt, C., M. Stuefer, A. Heymsfield, and C. K. Kim, 2013: The microphysical properties of ice fog measured in urban environments of Interior Alaska. J. Geophy. Res., VOL. 118, 1–12, 2013 doi:10.1002/jgrd.50822.
Schoenberg Ferrier, B., 1994: A Double-Moment Multiple-Phase Four-Class Bulk Ice Scheme. Part I: Description. J. Atmos. Sci., 51, 249–280.
Shaw, G. E., 1983: On the Aerosol Particle Size Distribution Spectrum in Alaskan Air Mass Systems: Arctic Haze and Non-Haze Episodes. J. Atmos. Sci., 40, 1313–1320.
Shulski, M. and G. Wendler, 2007: The Climate of Alaska. University of Alaska Press, 216 pp.
Skamarock, W. C., and Coauthours, 2008: A description of the Advanced Research WRF version 3. NCAR Tech. Note NCAR/TN-475 + STR, 113 pp.
Straka, J., 2009: Cloud and Precipitation Microphysics: principles and parameterization. Cambridge University Press, 392 pp.
Thompson, G., R. M. Rasmussen, and K. Manning, 2004: Explicit forecasts of winter precipitation using an improved bulk microphysics scheme. Part I: Description and sensitivity analysis. Mon. Wea. Rev., 132, 519–542.
Thompson, G., P. R. Field, R. M. Rasmussen, and W. D. Hall, 2008: Explicit Forecasts of Winter Precipitation Using an Improved Bulk Microphysics Scheme. Part II: Implementation of a New Snow Parameterization. Mon. Wea. Rev., 136, 5095–5115.
Thuman, W. C. and E. Robinson, 1954: STUDIES OF ALASKAN ICE-FOG PARTICLES. J. of Meteor., 11, 151–156.
Walko, R. L., W. R. Cotton, M. P. Meyers, and J. Y. Harrington, 1995: New RAMS cloud microphysics parameterization part I: the single-moment scheme. Atmos. Res., 38, 29–62.
Welch, R. M., M. G. Ravichandran, and S. K. Cox, 1986: Prediction of Quasi-Periodic Oscillations in Radiation Fogs. Part I: Comparison of Simple Similarity Approaches. J. Atmos. Sci., 43, 633–651.
Young, K. C., 1974: A Numerical Simulation of Wintertime, Orographic Precipitation: Part I. Description of Model Microphysics and Numerical Techniques. J. Atmos. Sci., 31, 1735–1748.
Zhou, B., 2011: Introduction to A New Fog Diagnostic Scheme. NCEP Office Note 466.
Zhou, B., and B. S. Ferrier, 2008: Asymptotic Analysis of Equilibrium in Radiation Fog. J. Appl. Meteor. and Climat., 47, 1704–1722.
Acknowledgments
This work was funded by an award from the U.S. Air Force (Award Number, FA 9550-11-1-0006).
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Kim, C.K., Stuefer, M., Schmitt, C.G. et al. Numerical Modeling of Ice Fog in Interior Alaska Using the Weather Research and Forecasting Model. Pure Appl. Geophys. 171, 1963–1982 (2014). https://doi.org/10.1007/s00024-013-0766-7
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DOI: https://doi.org/10.1007/s00024-013-0766-7