def dxdy(self,
method='SG',
deg=3,
win=5,
doEdges=True,
fs_tap=5,
**kwargs):
'''Calculate second horizontal derivative with various methods.
'''
if method.upper() == 'SG':
output = transforms.savgol_deriv(self.data,
self.cellsize,
direction='dxdy',
deg=deg,
win=win,
doEdges=doEdges)
elif method.upper() == 'FS':
output = transforms.fs_deriv(self.data,
self.cellsize,
direction='dxdy',
tap=fs_tap)
elif method.lower() == 'fourier':
output = transforms.fourier_transform(self.data,
self.cellsize,
trans='dxdy',
**kwargs)
else:
raise ValueError(
'Method {} has not been recognised.'.format(method))
return Grid(output, self.transform, name=self.name + '_dxdy')
def hgm(self, method='SG', deg=3, win=5, doEdges=True, fs_tap=5, **kwargs):
'''Calculate the horizontal gradient magnitude with various methods.
'''
if method.upper() == 'SG':
dx1 = transforms.savgol_deriv(self.data,
self.cellsize,
direction='dx',
deg=deg,
win=win,
doEdges=doEdges)
dy1 = transforms.savgol_deriv(self.data,
self.cellsize,
direction='dy',
deg=deg,
win=win,
doEdges=doEdges)
elif method.upper() == 'FS':
dx1 = transforms.fs_deriv(self.data,
self.cellsize,
direction='dx',
tap=fs_tap)
dy1 = transforms.fs_deriv(self.data,
self.cellsize,
direction='dy',
tap=fs_tap)
elif method.lower() == 'fourier':
dx1 = transforms.fourier_transform(self.data,
self.cellsize,
trans='dx',
order=1,
**kwargs)
dy1 = transforms.fourier_transform(self.data,
self.cellsize,
trans='dy',
order=1,
**kwargs)
else:
raise ValueError(
'Method {} has not been recognised.'.format(method))
return Grid(np.sqrt(dx1 * dx1 + dy1 * dy1),
self.transform,
name=self.name + '_hgm')
def lw(self,
method='SG',
dz_method='isvd',
deg=4,
win=5,
doEdges=True,
fs_tap=5,
**kwargs):
'''Calculate the local wavenumber with various methods.
'''
# vertical derivative
if dz_method.lower() == 'isvd':
dz_grid = self.isvd(method=method,
order=1,
deg=deg,
win=win,
doEdges=doEdges,
fs_tap=fs_tap)
dzdz_grid = self.isvd(method=method,
order=2,
deg=deg,
win=win,
doEdges=doEdges,
fs_tap=fs_tap)
else:
dz_grid = self.dz(method='fourier', order=1)
dzdz_grid = self.dz(method='fourier', order=2)
# horizontal derivatives
if method.upper() == 'SG':
dx1 = transforms.savgol_deriv(self.data,
self.cellsize,
direction='dx',
deg=deg,
win=win,
doEdges=doEdges)
dy1 = transforms.savgol_deriv(self.data,
self.cellsize,
direction='dy',
deg=deg,
win=win,
doEdges=doEdges)
dxdz1 = transforms.savgol_deriv(dz_grid.data,
self.cellsize,
direction='dx',
deg=deg,
win=win,
doEdges=doEdges)
dydz1 = transforms.savgol_deriv(dz_grid.data,
self.cellsize,
direction='dy',
deg=deg,
win=win,
doEdges=doEdges)
elif method.upper() == 'FS':
dx1 = transforms.fs_deriv(self.data,
self.cellsize,
direction='dx',
tap=fs_tap)
dy1 = transforms.fs_deriv(self.data,
self.cellsize,
direction='dy',
tap=fs_tap)
dxdz1 = transforms.fs_deriv(dz_grid.data,
self.cellsize,
direction='dx',
tap=fs_tap)
dydz1 = transforms.fs_deriv(dz_grid.data,
self.cellsize,
direction='dy',
tap=fs_tap)
elif method.lower() == 'fourier':
dx1 = transforms.fourier_transform(self.data,
self.cellsize,
trans='dx',
order=1,
**kwargs)
dy1 = transforms.fourier_transform(self.data,
self.cellsize,
trans='dy',
order=1,
**kwargs)
dxdz1 = transforms.fourier_transform(dz_grid.data,
self.cellsize,
trans='dx',
order=1,
**kwargs)
dydz1 = transforms.fourier_transform(dz_grid.data,
self.cellsize,
trans='dy',
order=1,
**kwargs)
else:
raise ValueError(
'Method {} has not been recognised.'.format(method))
# calculate local wavenumber
output = ((dxdz1 * dx1 + dydz1 * dy1 + dzdz_grid.data * dz_grid.data) /
(dx1 * dx1 + dy1 * dy1 + dz_grid.data * dz_grid.data))
return Grid(output, self.transform, name=self.name + '_LW')