2024 年“认证杯”数学建模C题 云中的海盐 思路代码

专栏内含有ABCD四题思路和代码(详细思路代码):2024 年“认证杯”数学建模C题 云中的海盐 思路代码-CSDN博客

问题一
确定海面上空以及低层海云内喷洒雾化的海水是否能够降低海面接收到的日光辐射量，我们可以采用辐射传输模型。这个模型可以考虑海盐气溶胶对太阳辐射的散射和吸收作用，以及大气和云层的影响。下面是一个简单的思路和代码示例：

思路：

使用Mie理论或其他散射理论来计算海盐气溶胶对太阳辐射的散射和吸收。
考虑大气和云层的光学厚度，计算海盐气溶胶在大气和云层中的传播过程。
根据传播过程中的吸收和散射，计算海面接收到的日光辐射量。

import numpy as np
 
def scattering_coefficient(wavelength, particle_radius):
    “””
    Calculate scattering coefficient using Mie theory.
    “””
    # Define constants
    pi = np.pi
    k = 2 * pi / wavelength
 
    # Mie parameter
    x = 2 * pi * particle_radius / wavelength
 
    # Calculate scattering coefficient
    Qsca = (2 / (x**2)) * ((x**2 – 1) * np.sin(x) + x * np.cos(x))**2
 
    return Qsca
 
def radiative_transfer(scattering_coefficient, cloud_optical_depth):
    “””
    Calculate radiative transfer in the atmosphere.
    “””
    # Calculate transmittance
    transmittance = np.exp(-scattering_coefficient * cloud_optical_depth)
 
    return transmittance
 
def main():
    # Constants
    wavelength = 0.5  # Wavelength of solar radiation (micrometers)
    particle_radius = 0.1  # Radius of sea salt aerosol particles (micrometers)
    cloud_optical_depth = 1.0  # Optical depth of low-level sea clouds
 
    # Calculate scattering coefficient
    Qsca = scattering_coefficient(wavelength, particle_radius)
 
    # Calculate radiative transfer in the atmosphere
    transmittance = radiative_transfer(Qsca, cloud_optical_depth)
 
    # Calculate solar radiation received at the sea surface
    solar_radiation_surface = transmittance * solar_radiation_top
 
    print(“Solar radiation received at the sea surface:”, solar_radiation_surface)
 
if __name__ == “__main__”:
    main()