inertial_advective_wind

metpy.calc.inertial_advective_wind(u, v, u_geostrophic, v_geostrophic, dx=None, dy=None, latitude=None, x_dim=- 1, y_dim=- 2)

Calculate the inertial advective wind.

\[\frac{\hat k}{f} \times (\vec V \cdot \nabla)\hat V_g\]
\[\frac{\hat k}{f} \times \left[ \left( u \frac{\partial u_g}{\partial x} + v \frac{\partial u_g}{\partial y} \right) \hat i + \left( u \frac{\partial v_g} {\partial x} + v \frac{\partial v_g}{\partial y} \right) \hat j \right]\]
\[\left[ -\frac{1}{f}\left(u \frac{\partial v_g}{\partial x} + v \frac{\partial v_g}{\partial y} \right) \right] \hat i + \left[ \frac{1}{f} \left( u \frac{\partial u_g}{\partial x} + v \frac{\partial u_g}{\partial y} \right) \right] \hat j\]

This formula is based on equation 27 of [Rochette2006].

Parameters

  • u ((…, M, N) xarray.DataArray or pint.Quantity) – x component of the advecting wind

  • v ((…, M, N) xarray.DataArray or pint.Quantity) – y component of the advecting wind

  • u_geostrophic ((…, M, N) xarray.DataArray or pint.Quantity) – x component of the geostrophic (advected) wind

  • v_geostrophic ((…, M, N) xarray.DataArray or pint.Quantity) – y component of the geostrophic (advected) wind

  • dx (pint.Quantity, optional) – The grid spacing(s) in the x-direction. If an array, there should be one item less than the size of u along the applicable axis. Optional if xarray.DataArray with latitude/longitude coordinates used as input.

  • dy (pint.Quantity, optional) – The grid spacing(s) in the y-direction. If an array, there should be one item less than the size of u along the applicable axis. Optional if xarray.DataArray with latitude/longitude coordinates used as input.

  • latitude (pint.Quantity, optional) – Latitude of the wind data. Optional if xarray.DataArray with latitude/longitude coordinates used as input. Note that an argument without units is treated as dimensionless, which translates to radians.

  • x_dim (int, optional) – Axis number of x dimension. Defaults to -1 (implying […, Y, X] order). Automatically parsed from input if using xarray.DataArray.

  • y_dim (int, optional) – Axis number of y dimension. Defaults to -2 (implying […, Y, X] order). Automatically parsed from input if using xarray.DataArray.

Returns

Notes

Many forms of the inertial advective wind assume the advecting and advected wind to both be the geostrophic wind. To do so, pass the x and y components of the geostrophic wind for u and u_geostrophic/v and v_geostrophic.

Changed in version 1.0: Changed signature from (u, v, u_geostrophic, v_geostrophic, dx, dy, lats)

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