Omega equation
"Elliptic equation estimating vertical velocity in meteorology" / From Wikipedia, the free encyclopedia
The omega equation is a culminating result in synoptic-scale meteorology. It is an elliptic partial differential equation, named because its left-hand side produces an estimate of vertical velocity, customarily[1] expressed by symbol , in a pressure coordinate measuring height the atmosphere. Mathematically,
, where
represents a material derivative. The underlying concept is more general, however, and can also be applied[2] to the Boussinesq fluid equation system where vertical velocity is
in altitude coordinate z.