2015/07/07 by Graham W. Alldredge, Alldredge, Graham, Ruo Li +3
Mathematics · Engineering · #Gas Dynamics and Kinetic Theory #Numerical methods in inverse problems #Radiative Heat Transfer Studies
paper · pdf · doi:10.48550/arxiv.1507.01676
We propose an approximate second order maximum entropy (M2) model for radiative transfer in slab geometry. The model is based on the ansatz of the specific intensity in the form of a \Beta-distribution. This gives us an explicit form in its closure. The closure is very close to that of the maximum entropy, thus an approximation of the M2 model. We prove that the new model is globally hyperbolic, sharing most of the advantages of the maximum entropy closure. Numerical examples illustrate that it provides solutions with satisfactory agreement with the M2 model.