Some remarks on fixed point and Newton techniques for solving the S2 approximation of transient radiative transfer
We propose two numerical algorithms for solving the transient 1D radiative transfer equations in the slab: a fixed point algorithm and a Newton algorithm. The first one shows good behavior for optically thin media, but its convergence may fail otherwise; this limit is overcome with the second algorithm, which converges in all situations, and moreover is faster when the implementation presented here is used.
KeywordsNewton Algorithm Internal Heat Source Fixed Point Algorithm Implicit Euler Scheme Thin Medium
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