Python package for generation of synthetic gravity waves
Project description
Synthetic gravity waves
This python package facilitates the creation of 2D synthetic atmospheric gravity-wave wave-packets mimicking the vertical velocity structure seen in numerical weather prediction models as fixed height or pressure levels.
Installation and usage
Install the package with pip
from pypi.org
python -m pip install synthetic_gravity_waves
And the import synthetic_gravity_waves
and use it to create a uniformly gridded vertical velocity field with synthetic gravity wave wave-packets:
import synthetic_gravity_waves as sgw
phi = sgw.make_synthetic_gravity_wave_composite(N=512, r_sigma=10.0, r0=80.0, lw0=10.0)
w0 = 5.0 # max characteristc vertical velocity [m/s]
w = phi * w0
# w now contains synthetic gravity wave packets with amplitude between -w0 and w0
Method
The method uses a point-sampling method based on the
Poisson-disc sampling algorithm by Robert
Bridson,
but modified to in place of using a 2D density field to define the local
density of points the spatial separation between points is sampled from a
Gaussian distribution with mean r0
and standard deviation r_sigma
. The
sampling is done on a grid of shape (N, N)
. At the sampled points 2D Gaussians envelopes modulating plane-parallel carrier waves with a controllable characterisc wavelength.
See [notebooks/usage.ipynb] for details.
References
-
Fast Poisson disk sampling in arbitrary dimensions , Bridson, R. (2007). Fast Poisson disk sampling in arbitrary dimensions. SIGGRAPH sketches, 10(1), 1. PDF
-
poissonDiskSampling by Adrian Bittner.
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