The ordinate weighting method for solving radiative heat transfer through a Fresnel interface

Refraction of electromagnetic waves at Fresnel interfaces, i.e. the boundaries between media with different refractive indices, is important not only in explaining many natural phenomena but also radiation heat transfer energy conversion and combustion systems, such as solar energy, spray cooling combustion, evaporation liquid fuels pool fires. This paper presents a novel model for efficient consideration interfaces Finite Volume Method-based solvers thermal radiation. By conserving transmitted radiative flux interface, new accurately estimates directional distribution intensities on second side interface. To do so, matrix weighting coefficients obtained, representing transferred from control angles first interface into each angle side. assess accuracy ordinate method (OWM), its predictions are compared analytical solutions that we obtained one- two-layer slabs various combinations absorption scattering properties. The validations shown normalized irradiation, reflectivity, transmissivity, intensity. OWM show an excellent agreement results solutions. Compared to Murthy’s pixelation method, provides better lower computational cost. Finally, sensitivity uniform non-uniform discretizations, used finite volume solution transfer, investigated.