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	Kvasi-geostrofiska omegaekvationen	Termisk vind
Ämnesområde	Meteorologi	Meteorologi
Familj	Process / pipeline	Process / pipeline
Ursprungsår	1970s	1920s
Upphovsperson	Trenberth, Omaga	Jacobbian insights from geostrophic flow
Typ	Diagnostic equation for vertical motion	Wind-temperature relationship
Ursprungskälla	Holton, J. R. (2004). An Introduction to Dynamic Meteorology (4th ed.). Academic Press.	Holton, J. R. (2004). An Introduction to Dynamic Meteorology (4th ed.). Academic Press.
Alias	QG omega equation, Quasi-geostrophic dynamics, Vertical motion prediction	Thermal wind, Vertical wind shear, Barotropic
Närliggande	3	3
Sammanfattning	The quasi-geostrophic (QG) omega equation is a fundamental diagnostic equation in synoptic meteorology that relates vertical motion (omega = dP/dt) to horizontal temperature and vorticity fields. It predicts where air rises and sinks based on the geostrophic flow structure without explicitly solving for vertical velocity.	The thermal wind relationship is a fundamental meteorological principle that links vertical wind shear to horizontal temperature gradients. It states that wind speed increases with height in the direction of warming—a direct consequence of hydrostatic and geostrophic balance combined with the ideal gas law.