The semi-geostrophic Eady problem as a testbed for numerical simulations of frontogenesis

Hans Volkert; Craig H. Bishop

doi:10.3402/tellusa.v42i2.11871

The semi-geostrophic Eady problem as a testbed for numerical simulations of frontogenesis

Tellus

Volume 42 (1990): Issue 2

By: Hans Volkert and Craig H. Bishop

Open Access

|Jan 1990

Abstract

The semigeostrophic Eady problem is used as a testbed for frontogenetical calculations using a specific numerical model. Over 3 days of integration, the numerical solutions agree very well with their analytical counterparts. The increasing deviations in the vertical field of motion during the last day before the analytical model breaks down are attributed to the inability of a grid-point model to handle evergrowing contrasts correctly. The dependence of the time-scales on the external parameters is addressed.

References

Bishop , C. H . 1989 . Frontogenesis and cyclogenesis . Ph.D. thesis, Monash University , Australia .
Search in Google Scholar Back to article
Eady , E. T . 1949 . Long waves and cyclone waves . Tellus 1 , 33 – 52 .
Search in Google Scholar Back to article
Hoskins , B. J . 1975 . The geostrophic momentum approximation and the semi-geostrophic equations . J. Atmosph. Sci . 32 , 233 – 242 .
Search in Google Scholar Back to article
Hoskins , B. J. and Bretherton , F. P . 1972 . Atmospheric frontogenesis models: mathematical formulation and solution . J. Atmosph. Sci . 29 , 11 – 37 .
Search in Google Scholar Back to article
Keyser , D. J . 1981 . Frontogenesis in the planetary boundary layer of an amplifying, two-dimensional baroclinic wave . Ph.D. thesis , The Pennsylvania State University , 285 pp.
Search in Google Scholar Back to article
Keyser , D. J. and Anthes , R. A . 1982 . The influence of planetary boundary layer physics on frontal structure in the Hoskins-Bretherton horizontal shear model. J. Atmosph. Sc i . 39 , 1783 – 1801 .
Search in Google Scholar Back to article
Knight , D. J. and Hobbs , P. V . 1988 . The mesoscale and microscale structure and organization of clouds and precipitation in midlatitude cyclones. Part XV: a numerical modeling study of frontogenesis and cold-frontal rainbands. J. Atmosph. Sc i . 45 , 915 – 930 .
Search in Google Scholar Back to article
Reeder , M. J . 1985 . Models of frontogenesis . Ph.D. thesis, Monash University , Australia .
Search in Google Scholar Back to article
Reeder , M. J. and Smith , R. K . 1986 . A comparison between frontogenesis in the two-dimensional Eady model of baroclinic instability and summertime cold fronts in the Australian region . Quart. J. R. Met. Soc . 112 , 293 – 313 .
Search in Google Scholar Back to article
Schumann , U. , Hauf , T. , Holler , H. , Schmidt , H. and Volkert , H . 1987 . A mesoscale model for the simulation of turbulence, clouds and flow over mountains: Formulation and validation examples . Beitr. Phys. Atmosph . 60 , 413 – 446 .
Search in Google Scholar Back to article