手法を比較

	準地衡風オメガ方程式	地衡風	渦位度逆問題解析
分野	気象学	気象学	気象学
系統	Process / pipeline	Process / pipeline	Process / pipeline
提唱年	1970s	1857	1985
提唱者	Trenberth, Omaga	Buys Ballot, Coriolis	Haynes, McIntyre, Hoskins
種類	Diagnostic equation for vertical motion	Wind balance principle	Diagnostic inversion method
原典	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.	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.
別名	QG omega equation, Quasi-geostrophic dynamics, Vertical motion prediction	Geostrophic wind, Geostrophic balance, Geostrophic approximation	PV inversion, Potential vorticity, PV thinking
関連	3	3	3
概要	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.	Geostrophic wind balance is a fundamental concept in meteorology that describes the balance between the pressure gradient force and the Coriolis force in large-scale atmospheric flow. When this balance is achieved, wind blows parallel to isobars without acceleration—a condition observed in the free atmosphere away from the equator and surface boundary layer.	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.