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#climatedynamics — Public Fediverse posts

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  1. 👥 In #academia, having a reliable network with other scientists is essential–building one early in your career is part of the job. With this in mind, our director Sarah Kang has recently launched the EUCLIDYAN initiative that uniquely connects the European #ClimateDynamics community. If you want to know how it started, how Sarah Kang's own experience as an undergrad student factored into it, & how the participants benefit from it, read our latest "Focus On" article: mpimet.mpg.de/en/communication

  2. Basics of Numerical Weather Prediction (NWP):

    1. THE HORIZONTAL MOMENTUM EQUATION:
    \[
    \frac{d\mathbf{V}}{dt} + f\hat{k} \times \mathbf{V} = -\nabla \phi + \frac{\sigma}{p_s} \frac{\partial \phi}{\partial \sigma} \nabla p_s + \mathbf{F}
    \]

    2. THE CONTINUITY EQUATION:
    \[
    \frac{\partial p_s}{\partial t} + \nabla \cdot (p_s \mathbf{V}) + \frac{\partial}{\partial \sigma}(p_s \dot{\sigma}) = 0
    \]

    3. THE THERMODYNAMIC ENERGY EQUATION:
    \[
    \frac{1}{R} \frac{d}{dt} \left[ \sigma \frac{\partial \phi}{\partial \sigma} \right] + \frac{RT}{C_p p} \left[ p_s \dot{\sigma} + \sigma\dot{p_s} \right] = -Q
    \]

    4. HYDROSTATIC EQUATION:
    \[
    \frac{\partial \phi}{\partial \sigma} = -\frac{RT_v}{\sigma}
    \]

    5. SURFACE PRESSURE TENDENCY EQUATION:
    \[\displaystyle
    \frac{\partial p_s}{\partial t} = -\int_{0}^{1} \nabla\cdot (p_s \mathbf{V}) \, d\sigma
    \]

    6. MOISTURE EQUATION:
    \[\displaystyle
    \frac{\partial}{\partial t} (p_s q) + \nabla\cdot (p_s q \mathbf{V}) + \frac{\partial}{\partial \sigma} (p_s q \dot{\sigma}) = p_s S
    \]

    The six primary unknowns are: \(\mathbf{V}\) (horizontal wind velocity), \(p_s\) (surface pressure), \(T\) (temperature), \(q\) (specific humidity or moisture), \(\phi\) (geopotential), and \(\dot{\sigma}\) (sigma velocity or vertical velocity in \(\sigma\)-coordinates).

    #NWP #Weather #NumericalWeatherPrediction #Meteorology #Climate #ClimateScience #Earth #EarthScience #ClimateChange #ClimateSciences #Science #WeatherPrediction #Humidity #Moisture #Pressure #Velocity #SurfacePressure #HydrostaticEquation #WeatherPrediction #Ocean #Atmosphere #AOS #ClimateDynamics #WeatherDynamics #Geopotential #SigmaVelocity #VerticalVelocity #MoistureEquation #Thermodynamics #Dynamics #NavierStokes

  3. Hello world! Hello #fediverse! We are the Climatology and Biosphere group at the @unituebingen and just moved here from Twitter (twitter.com/weather2climate)! 🪁

    We are excited to share our research and let you know more about our work on #climatevariability and #climatedynamics!