Radiation transport in numerical astrophysics

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Diffusion, Neutrinos, Radiation Transport, Time Dependence, Algorithms, Density Distribution, Finite Difference Theory, Neutron Stars, Temperature Distribution, Transport Theory

Scientific paper

Numerical techniques developed by Jim Wilson and coworkers for the calculation of time dependent radiation flow are discussed. Difference equations for multifrequency transport are given for both a discrete angle representation of radiation transport and a Fick's law like representation. These methods have the important property that they correctly describe both the streaming and diffusion limits of transport theory in problems where the mean free path divided by characteristic distances varies from much less than one to much greater than one. They are also stable for timesteps comparable to the changes in physical variables, rather than being limited by stability requirements.

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