awips2/cave/com.raytheon.uf.viz.derivparam.python/localization/derivedParameters/functions/DgeoComps.py
root 7dbd17a5aa Initial revision of AWIPS2 11.9.0-7p5
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Python

##
# This software was developed and / or modified by Raytheon Company,
# pursuant to Contract DG133W-05-CQ-1067 with the US Government.
#
# U.S. EXPORT CONTROLLED TECHNICAL DATA
# This software product contains export-restricted data whose
# export/transfer/disclosure is restricted by U.S. law. Dissemination
# to non-U.S. persons whether in the United States or abroad requires
# an export license or other authorization.
#
# Contractor Name: Raytheon Company
# Contractor Address: 6825 Pine Street, Suite 340
# Mail Stop B8
# Omaha, NE 68106
# 402.291.0100
#
# See the AWIPS II Master Rights File ("Master Rights File.pdf") for
# further licensing information.
###
## @file DgeoComps.py
from numpy import isscalar
from numpy import copy as Copy
from numpy import NaN
from numpy import ones
from numpy import shape
##
# Compute the components of geostrophic wind for this level.
# @attention: result may contain NaN.
#
# @param height: Height (m)
# @type height: 2D numpy array, at least 3x3
# @param dx: Spacing between data points in the X direction
# @type dx: scalar or 2D numpy array at least 3x3
# @param dy: Spacing between data points in the Y direction
# @type dy: scalar or 2D numpy array at least 3x3
# @param coriolis: Coriolis force (kg-m/s^2)
# @type coriolis: scalar or 2D numpy array at least 3x3
# @return: d/dx of u component of geostrophic wind
# d/dy of u component of geostrophic wind
# d/dx of v component of geostrophic wind
# d/dy of v component of geostrophic wind
# @rtype: tuple(dugdx, dugdy, dvgdx, dvgdy)
def execute(height, dx, dy, coriolis):
"Compute the components of geostrophic wind for this level."
# Generate output arrays as arrays of NaN,
# the same size and dtype as Height.
# dugdx = masked_where(True, Height) -- not needed
dugdy = ones(shape(height), dtype=height.dtype) * NaN
dvgdx = Copy(dugdy)
dvgdy = Copy(dugdy)
gravAcc = 9.806
# use cropped versions of dx, dy, and coriolis in calculations
if not isscalar(dx):
dx = dx[1:-1,1:-1]
if not isscalar(dy):
dy = dy[1:-1,1:-1]
if not isscalar(coriolis):
coriolis = coriolis[1:-1,1:-1]
# intermediate values that are used repeatedly
qqq = gravAcc / coriolis
www = height[1:-1,1:-1] * 2.0
# make calculations in arrays with outer edge cropped
# then paste into full-sized array
croppedDvgdy = height[2:,2:] + height[0:-2,0:-2]
croppedDvgdy -= height[2:,0:-2] + height[0:-2,2:]
croppedDvgdy *= qqq
croppedDvgdy /= 4 * dx * dy
dvgdy[1:-1,1:-1] = croppedDvgdy
dugdx = -dvgdy#*0.0
croppedDugdy = www - height[2:,1:-1] - height[0:-2,1:-1]
croppedDugdy *= qqq
croppedDugdy /= dy * dy
dugdy[1:-1,1:-1] = croppedDugdy
croppedDvgdx = height[1:-1,2:] + height[1:-1,0:-2] - www
croppedDvgdx *= qqq
croppedDvgdx /= dx * dx
dvgdx[1:-1,1:-1] = croppedDvgdx
return (dugdx, dugdy, dvgdx, dvgdy)