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Climatological Dynamics of Changma

Climatological Dynamics of Changma from Changma development to precipitation can be simplified into 3 processes. Although there are multiple formation methods for the Changma, we will focus on these basic elements used to interpret the climatological dynamic background of Changma by introducing each process with thermodynamic equations and its physical interpretation.

Low-level Air Convergence

 Moisture Flux Transportation

Precipitation 

The Continuity Equation

The continuity equation, representing the law of mass conservation in atmospheric motion, provides the core dynamic principle explaining how horizontal convergence induces vertical ascent.

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Air Converging into the Column

Vertical Speed of Wind when Increasing

The Change of Vertical Wind Speed w.r.t Height

Physical Significance

     Horizontal convergence in the lower troposphere requires that air must be pushed upward in order to conserve mass. This ascent leads to adiabatic cooling, resulting in condensation and cloud formation. Thus, the persistent low-level convergence over the Changma front is the driver that turns the stored water vapor into rainfall.

Moisture Flux Equation

Moisture is the fuel for Changma rainfall and understanding its transport and conservation is critical. Moisture flux represents the amount of water vapor passing through a unit area per unit time, essential for identifying moisture sources for the Changma.

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: Integrated Vapor Transport w.r.t height

Using the hydrostatic equation, we can integrate the moisture flux into the form of IVT.

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Moisture Flux

Moist Air Density

Specific Humidity (Mixing Ratio) --> represents the Amount of Moisture

Wind Vector

Physical Significance

     During the Changma season, a large and persistent moisture flux (F) is advected towards the Korean peninsula along the edge of the WNPSH. Moisture flux convergence signifies the accumulation of water vapor in a region, which is the most direct factor increasing the potential for precipitation and the amount of vapor transport in vertical scale.

Moisture Budget Equation

The moisture budget equation describes the balance of water vapor in a column of the atmosphere extending from the surface level to the top of the atmosphere.

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Net Precipitation

Precipitation

Evaporation

The Change in Atmospheric Water Vapor Storage

Convergence of Moisture Flux

Physical Significance

     For intense rain, such as the ones that occur during the Changma, The term moisture flux convergence (             > 0 ) is almost always the dominant term driving precipitation            > 0 

     When moisture convergence is strong, a massive amount of water vapor is being transported horizontally into the column, increasing the likelihood of precipitation because P (precipitation) on the left-hand side of the equation must balance the increased input of water vapor.

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© 2025 Introduction to Atmospheric Dynamics_IAD-2 

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