Radiation balance in a cloudy atmosphere with account for the 3D effects

In this paper we derive radiation balance equations for the cloudy atmosphere with account for horizontal inhomogeneity effects. It is assumed that the clear sky and cloud occupy two different half-spaces separated by a vertical plane. Numerical results for corresponding fluxes are derived using the 3D code RADUGA based upon the discrete ordinate method. It is shown how “jump” of optical properties forms shadowing or brightening at both the cloud edge and the neighboring clear sky.