利用windspharm库计算散度风、旋度风详细教程
安装
windspharm库是在pyspharm库基础上写出来的，windspharm库中的大部分计算依赖pyspharm库，所以要使用windspharm库就也要安装pyspharm库。但是这两个库的安装有点麻烦，详细教程如下。
step1:安装windspharm库
• 进入windspharm库作者的Github下载
下载链接：https://ajdawson.github.io/windspharm/latest/index.html
• 下载以后解压出来复制文件夹的路径
• 打开Anaconda Prompt
• cd 文件夹路径 回车
• 之后python setup.py即可安装成功
step2:安装pyspharm库(参考葉读春秋)
• 在Anaconda Prompt输入pip debug --verbose查看python版本
• 我们在如下链接中找到pyspharm库对应的版本进行下载。由于我使用的是Python3.9版本，所以下载pyspharm-1.0.9-cp39-cp39-win_amd64.whl
下载链接：https://www.lfd.uci.edu/~gohlke/pythonlibs/#pyspharm
• 下载以后如果安装windspharm库之后Anaconda Prompt没有关闭，则将下载下来的whl文件放进上述windspharm路径之后pip install pyspharm-1.0.9-cp39-cp39-win_amd64.whl即可。
• 如关闭，则重复上述指令，Anaconda Prompt会提示你Anaconda的根目录所在位置，将whl文件放进上述文件夹，重复pip install即可
注意：同时该库对numpy库的版本有要求，如报错可以试着更新numpy库
使用
根据如下源码可知：该库存在一个巨大的缺陷，缺陷就是该库需要传入全球的风场数据，同时只能是二维或者三维的数据，且不能有nan值，否则使用的时候会报错，这是这个库的局限性，而且如果对数据进行区域切片后传入计算，那么计算结果会有巨大差异，导致不准确，所以说需要全球的风场数据。
这里提供使用范例：
step1:将我们的u，v调整至适合的输入形式
我们前面提到经纬度的维度需要放在数据前两个维度，windspharm提供了改变数组形状以及恢复形状的函数prep_data以及recover_data
from windspharm.tools import prep_data,recover_data
u, infou = prep_data(u, 'tzyx')
v, infov = prep_data(v, 'tzyx')
如准备一个维度为 （12、17、73、144） 的数组，其中维度为 （时间t，高度层z，纬度y，经度x），字符“x”和“y”分别表示经度和纬度,这两个维度和字符串务必保持对齐！！！
prep_data函数会返回需要的数组以及恢复数据所需的字典。
step2:导入VectorWind类，传入u，v实例化
from windspharm.standard import VectorWind
w = VectorWind(u, v)
step3:计算旋度风并恢复数组形状
upsi, vpsi = w.nondivergentcomponent()
upsi = recover_data(upsi, infou)
vpsi = recover_data(vpsi, infov)
step4:求绝对涡度 还有梯度等
absvrt = w.absolutevorticity()
absvrt_u, absvrt_v = w.gradient(absvrt)
官网案例
import cartopy.crs as ccrs
import matplotlib as mpl
import matplotlib.pyplot as plt
import xarray as xr
from windspharm.xarray import VectorWind
from windspharm.examples import example_data_path
mpl.rcParams['mathtext.default'] = 'regular'
# Read zonal and meridional wind components from file using the xarray module.
# The components are in separate files.
ds = xr.open_mfdataset([example_data_path(f)
for f in ('uwnd_mean.nc', 'vwnd_mean.nc')])
uwnd = ds['uwnd']
vwnd = ds['vwnd']
# Create a VectorWind instance to handle the computation of streamfunction and
# velocity potential.
w = VectorWind(uwnd, vwnd)
# Compute the streamfunction and velocity potential.
sf, vp = w.sfvp()
# Pick out the field for December.
sf_dec = sf == 12]
vp_dec = vp == 12]
# Plot streamfunction.
clevs = [-120, -100, -80, -60, -40, -20, 0, 20, 40, 60, 80, 100, 120]
ax = plt.subplot(111, projection=ccrs.PlateCarree(central_longitude=180))
sf_dec *= 1e-6
fill_sf = sf_dec.plot.contourf(ax=ax, levels=clevs, cmap=plt.cm.RdBu_r,
transform=ccrs.PlateCarree(), extend='both',
add_colorbar=False)
ax.coastlines()
ax.gridlines()
plt.colorbar(fill_sf, orientation='horizontal')
plt.title('Streamfunction ($10^6$m$^2$s$^{-1}$)', fontsize=16)
# Plot velocity potential.
plt.figure()
clevs = [-10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10]
ax = plt.subplot(111, projection=ccrs.PlateCarree(central_longitude=180))
vp_dec *= 1e-6
fill_vp = vp_dec.plot.contourf(ax=ax, levels=clevs, cmap=plt.cm.RdBu_r,
transform=ccrs.PlateCarree(), extend='both',
add_colorbar=False)
ax.coastlines()
ax.gridlines()
plt.colorbar(fill_vp, orientation='horizontal')
plt.title('Velocity Potential ($10^6$m$^2$s$^{-1}$)', fontsize=16)
plt.show()
文章来源于微信公众号：自学气象人
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