An efficient method for the solution of 3-D radiative transfer problems

Statistics – Computation

Scientific paper

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Cartesian Coordinates, Computer Programs, Iterative Solution, Linear Systems, Radiative Transfer, Three Dimensional Bodies, Two Dimensional Bodies, Algorithms, Computational Grids, Heat Transfer, Parallel Computers, Recursive Functions, Temperature Distribution, Transfer Functions

Scientific paper

A novel efficient method for the solution of radiative transfer problems in media of two or three dimensions is presented. The approach is based on an implicit discretization of the transfer equation in Cartesian frames. The resulting linear system of equations is solved by a combination of recursion and iteration. Since the explicit handling of large matrices is avoided, the corresponding code is relatively simple and runs well on all types of modern computers. As examples of applications, several spherical and nonspherical dust clouds heated by a central source are considered, and their temperature distributions and emergent spectra are derived. Comparison of the spherical models with those of Rowan-Robinson (1980) shows good agreement.

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