Astronomy and Astrophysics – Astrophysics – Solar and Stellar Astrophysics
Scientific paper
2011-10-10
Astronomy and Astrophysics
Astrophysics
Solar and Stellar Astrophysics
Accepted for publication in Astrophysics (2012, N.1)
Scientific paper
Radiative transfer (RT) problems in which the source function includes a scattering-like integral are typical two-points boundary problems. Their solution via differential equations implies to make hypotheses on the solution itself, namely the specific intensity I(tau;n) of the radiation field. On the contrary, integral methods require to make hypotheses on the source function S(tau). It looks of course more reasonable to make hypotheses on the latter because one can expect that the run of S(tau) with depth be smoother than that of I(tau;n). In previous works we assumed a piece-wise parabolic approximation for the source function, which warrants the continuity of S(tau) and its first derivative at each depth point. Here we impose the continuity of the second derivative S"(tau). In other words, we adopt a cubic spline representation to the source function, which highly stabilize the numerical processes.
Cardona Octavio
Crivellari Lucio
Simonneau Eduardo
No associations
LandOfFree
An improved version of the Implicit Integral Method to solving radiative transfer problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An improved version of the Implicit Integral Method to solving radiative transfer problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An improved version of the Implicit Integral Method to solving radiative transfer problems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-147116