Half-range moment methods for radiative transfer in spherical geometry. II - Implementation of the method

Details Half-range moment methods for radiative transfer in spherical geometry. II - Implementation of the method Half-range moment methods for radiative transfer in spherical geometry. II - Implementation of the method

Sep 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...284..317m&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 284, Sept. 1, 1984, p. 317-326. Research supported by the Natural Sciences

Physics

Optics

13

Differential Geometry, Geometrical Optics, Method Of Moments, Radiative Transfer, Spherical Coordinates, Boundary Conditions, Boundary Value Problems, Convergence, Error Analysis, Finite Difference Theory, Numerical Stability, Point Sources, Scatter Propagation

Scientific paper

The accuracy of a new numerical method for problems of radiative transfer in spherical geometry, based on half-range power moments of the specific intensity, is implemented and demonstrated. Use of a Ricatti transformation allows an accurate, though computationally inefficient, radial integration of the moment equations, so that the convergence of the method as the number of moments is increased can be isolated. The method was checked against both analytic (exact) solutions and results from several other numerical methods, for a variety of problems including those with central sources or with an isotropic external radiation field and including anisotropic and nonconservative scattering. Because this method is well adapted to the boundary conditions, takes account of possible outward peaking in the intensity, and has a consistent treatment of the source function, good solutions can be obtained using only a few moments. Thus, when the radial integration is treated with a fast finite-difference scheme, this half-range moment method offers an efficient solution to a wide range of problems in radiative transfer.

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