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	Kvasi-geostrofiska omegaekvationen	Potentiell virvelinversion	Termisk vind
Ämnesområde	Meteorologi	Meteorologi	Meteorologi
Familj	Process / pipeline	Process / pipeline	Process / pipeline
Ursprungsår	1970s	1985	1920s
Upphovsperson	Trenberth, Omaga	Haynes, McIntyre, Hoskins	Jacobbian insights from geostrophic flow
Typ	Diagnostic equation for vertical motion	Diagnostic inversion method	Wind-temperature relationship
Ursprungskälla	Holton, J. R. (2004). An Introduction to Dynamic Meteorology (4th ed.). Academic Press.	Haynes, P., & McIntyre, M. E. (1987). On the evolution of vorticity and potential vorticity in the atmosphere. Journal of the Atmospheric Sciences, 44(5), 828-841.	Holton, J. R. (2004). An Introduction to Dynamic Meteorology (4th ed.). Academic Press.
Alias	QG omega equation, Quasi-geostrophic dynamics, Vertical motion prediction	PV inversion, Potential vorticity, PV thinking	Thermal wind, Vertical wind shear, Barotropic
Närliggande	3	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.	Potential vorticity (PV) inversion is a diagnostic technique that reconstructs atmospheric wind and pressure fields from the spatial distribution of potential vorticity. This method assumes that, in a geostrophically balanced atmosphere, the PV field uniquely determines the balanced circulation around anomalies.	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.