wind velocity derivations

  1. meridional wind velocity from wind speed and direction

    symbol

    description

    unit

    variable name

    \(u\)

    zonal wind velocity

    \(m/s\)

    zonal_wind_velocity {:}

    \(s\)

    wind speed

    \(m/s\)

    wind_speed {:}

    \(\theta\)

    wind direction

    \(deg\)

    wind_direction {:}

    The pattern : for the dimensions can represent {vertical}, {latitude,longitude}, {latitude,longitude,vertical}, {time}, {time,vertical}, {time,latitude,longitude}, {time,latitude,longitude,vertical}, or no dimensions at all.

    \[u = s \cos((180 - \theta)\frac{\pi}{180})\]
  2. zonal wind velocity from wind speed and direction

    symbol

    description

    unit

    variable name

    \(v\)

    meridional wind velocity

    \(m/s\)

    meridional_wind_velocity {:}

    \(s\)

    wind speed

    \(m/s\)

    wind_speed {:}

    \(\theta\)

    wind direction

    \(deg\)

    wind_direction {:}

    The pattern : for the dimensions can represent {vertical}, {latitude,longitude}, {latitude,longitude,vertical}, {time}, {time,vertical}, {time,latitude,longitude}, {time,latitude,longitude,vertical}, or no dimensions at all.

    \[v = s \sin((180 - \theta)\frac{\pi}{180})\]
  3. wind direction from zonal and meridional wind velocity

    symbol

    description

    unit

    variable name

    \(u\)

    zonal wind velocity

    \(m/s\)

    zonal_wind_velocity {:}

    \(v\)

    meridional wind velocity

    \(m/s\)

    meridional_wind_velocity {:}

    \(\theta\)

    wind direction

    \(deg\)

    wind_direction {:}

    The pattern : for the dimensions can represent {vertical}, {latitude,longitude}, {latitude,longitude,vertical}, {time}, {time,vertical}, {time,latitude,longitude}, {time,latitude,longitude,vertical}, or no dimensions at all.

    \[\theta = 180 - \arctan2(u,v)\frac{180}{\pi}\]
  4. wind speed from zonal and meridional wind velocity

    symbol

    description

    unit

    variable name

    \(u\)

    zonal wind velocity

    \(m/s\)

    zonal_wind_velocity {:}

    \(v\)

    meridional wind velocity

    \(m/s\)

    meridional_wind_velocity {:}

    \(s\)

    wind speed

    \(m/s\)

    wind_speed {:}

    The pattern : for the dimensions can represent {vertical}, {latitude,longitude}, {latitude,longitude,vertical}, {time}, {time,vertical}, {time,latitude,longitude}, {time,latitude,longitude,vertical}, or no dimensions at all.

    \[s = \sqrt{u^2 + v^2}\]