Ekman boundary conditions
From Glossary of Meteorology
Ekman boundary conditions
These are the four mathematical/physical conditions used when integrating the fourth-order differential equations governing the Ekman layer.
These conditions are where (U, V) are the horizontal winds to the east and north, respectively; z is height above the surface; and G is the geostrophic wind speed. The first two conditions state that friction at the ground causes the wind speed to be zero there, while the last two conditions state that the winds become geostrophic where friction is negligible at large distances above the surface.
Copyright 2022 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact [email protected]. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.