pydda.cost_functions.calculate_vertical_vorticity_gradient¶
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pydda.cost_functions.
calculate_vertical_vorticity_gradient
(u, v, w, dx, dy, dz, Ut, Vt, coeff=1e-05)[source]¶ Calculates the gradient of the cost function due to deviance from vertical vorticity equation. This is done by taking the functional deriviative of the vertical vorticity cost function.
Parameters: u: 3D array
Float array with u component of wind field
v: 3D array
Float array with v component of wind field
w: 3D array
Float array with w component of wind field
dx: float array
Spacing in x grid
dy: float array
Spacing in y grid
dz: float array
Spacing in z grid
Ut: float
U component of storm motion
Vt: float
V component of storm motion
coeff: float
Weighting coefficient
Returns: Jv: 1D float array
Value of the gradient of the vertical vorticity cost function.
References
Potvin, C.K., A. Shapiro, and M. Xue, 2012: Impact of a Vertical Vorticity Constraint in Variational Dual-Doppler Wind Analysis: Tests with Real and Simulated Supercell Data. J. Atmos. Oceanic Technol., 29, 32–49, https://doi.org/10.1175/JTECH-D-11-00019.1
Shapiro, A., C.K. Potvin, and J. Gao, 2009: Use of a Vertical Vorticity Equation in Variational Dual-Doppler Wind Analysis. J. Atmos. Oceanic Technol., 26, 2089–2106, https://doi.org/10.1175/2009JTECHA1256.1