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Source code for physicsnemo.utils.insolation

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import numpy as np
import pandas as pd


[docs]def insolation( dates, lat, lon, scale=1.0, daily=False, enforce_2d=False, clip_zero=True ): # pylint: disable=invalid-name """ Calculate the approximate solar insolation for given dates. For an example reference, see: https://brian-rose.github.io/ClimateLaboratoryBook/courseware/insolation.html Parameters ---------- dates: dates: np.ndarray 1d array: datetime or Timestamp lat: np.ndarray 1d or 2d array of latitudes lon: np.ndarray 1d or 2d array of longitudes (0-360deg). If 2d, must match the shape of lat. scale: float, optional scaling factor (solar constant) daily: bool, optional if True, return the daily max solar radiation (lat and day of year dependent only) enforce_2d: bool, optional if True and lat/lon are 1-d arrays, turns them into 2d meshes. clip_zero: bool, optional if True, set values below 0 to 0 Returns ------- np.ndarray: insolation (date, lat, lon) """ # pylint: disable=invalid-name if len(lat.shape) != len(lon.shape): raise ValueError("'lat' and 'lon' must have the same number of dimensions") if len(lat.shape) >= 2 and lat.shape != lon.shape: raise ValueError( f"shape mismatch between lat ({lat.shape} and lon ({lon.shape})" ) if len(lat.shape) == 1 and enforce_2d: lon, lat = np.meshgrid(lon, lat) n_dim = len(lat.shape) # Constants for year 1995 (standard in climate modeling community) # Obliquity of Earth eps = 23.4441 * np.pi / 180.0 # Eccentricity of Earth's orbit ecc = 0.016715 # Longitude of the orbit's perihelion (when Earth is closest to the sun) om = 282.7 * np.pi / 180.0 beta = np.sqrt(1 - ecc**2.0) # Get the day of year as a float. start_years = np.array( [pd.Timestamp(pd.Timestamp(d).year, 1, 1) for d in dates], dtype="datetime64" ) days_arr = (np.array(dates, dtype="datetime64") - start_years) / np.timedelta64( 1, "D" ) for d in range(n_dim): days_arr = np.expand_dims(days_arr, -1) # For daily max values, set the day to 0.5 and the longitude everywhere to 0 (this is approx noon) if daily: days_arr = 0.5 + np.round(days_arr) new_lon = lon.copy().astype(np.float32) new_lon[:] = 0.0 else: new_lon = lon.astype(np.float32) # Longitude of the earth relative to the orbit, 1st order approximation lambda_m0 = ecc * (1.0 + beta) * np.sin(om) lambda_m = lambda_m0 + 2.0 * np.pi * (days_arr - 80.5) / 365.0 lambda_ = lambda_m + 2.0 * ecc * np.sin(lambda_m - om) # Solar declination dec = np.arcsin(np.sin(eps) * np.sin(lambda_)) # Hour angle h = 2 * np.pi * (days_arr + new_lon / 360.0) # Distance rho = (1.0 - ecc**2.0) / (1.0 + ecc * np.cos(lambda_ - om)) # Insolation sol = ( scale * ( np.sin(np.pi / 180.0 * lat[None, ...]) * np.sin(dec) - np.cos(np.pi / 180.0 * lat[None, ...]) * np.cos(dec) * np.cos(h) ) * rho**-2.0 ) if clip_zero: sol[sol < 0.0] = 0.0 return sol.astype(np.float32)
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