Primitive equations

From Glossary of Meteorology



primitive equations

The Eulerian equations of motion of a fluid in which the primary dependent variables are the fluid's velocity components.

These equations govern a wide variety of fluid motions and form the basis of most hydrodynamical analysis. In meteorology, these equations are frequently specialized to apply directly to the cyclonic-scale motions by the introduction of the so-called filtering approximations.
See equations of motion.


Copyright 2024 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact permissions@ametsoc.org. 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.