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| 準地衡風オメガ方程式× | 地衡風× | サーマルウィンド× | |
|---|---|---|---|
| 分野 | 気象学 | 気象学 | 気象学 |
| 系統 | Process / pipeline | Process / pipeline | Process / pipeline |
| 提唱年≠ | 1970s | 1857 | 1920s |
| 提唱者≠ | Trenberth, Omaga | Buys Ballot, Coriolis | Jacobbian insights from geostrophic flow |
| 種類≠ | Diagnostic equation for vertical motion | Wind balance principle | Wind-temperature relationship |
| 原典 | Holton, J. R. (2004). An Introduction to Dynamic Meteorology (4th ed.). Academic Press. link ↗ | Holton, J. R. (2004). An Introduction to Dynamic Meteorology (4th ed.). Academic Press. link ↗ | Holton, J. R. (2004). An Introduction to Dynamic Meteorology (4th ed.). Academic Press. link ↗ |
| 別名 | QG omega equation, Quasi-geostrophic dynamics, Vertical motion prediction | Geostrophic wind, Geostrophic balance, Geostrophic approximation | Thermal wind, Vertical wind shear, Barotropic |
| 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. | 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. |
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