Stratified radiative transfer for multidimensional fluids

Abstract

New mathematical and numerical results are given for the coupling of the temperature equation of a fluid with radiative transfer: existence and uniqueness and a convergent monotone numerical scheme. The technique is shown to be feasible for studying the temperature of the Lake Leman heated by the sun and for studying the effects of greenhouse gases on earth’s atmosphere.

Keywords

• Radiative transfer
• Navier–Stokes equations
• Integral equations
• Numerical method
• Convergence
• Climate