A Scaling for the Three-Dimensional Semigeostrophic Approximation

View More View Less
  • 1 Department of Meteorology, University of Reading, Whiteknights, Reading, United Kingdom
© Get Permissions
Full access

Abstract

The three dimensional semigeostrophic equations are derived by a formal asymptotic analysis. The equations are scaled with typical values of the gradients across absolute momentum contours along isentropic surfaces and are accurate to first order in a small parameter that can be regarded as a modified Rossby number.

Abstract

The three dimensional semigeostrophic equations are derived by a formal asymptotic analysis. The equations are scaled with typical values of the gradients across absolute momentum contours along isentropic surfaces and are accurate to first order in a small parameter that can be regarded as a modified Rossby number.

Save