Jj. Honrubia, A SYNTHETICALLY ACCELERATED SCHEME FOR RADIATIVE-TRANSFER CALCULATIONS, Journal of quantitative spectroscopy & radiative transfer, 49(5), 1993, pp. 491-515
Recently, we have developed a one-dimensional radiation-hydrodynamics
code called SARA (Synthetically Accelerated Radiation-Hydrodynamics Al
gorithm) which solves the multigroup radiation transport equations imp
licitly. A high order differencing scheme as well as multifrequency gr
ey synthetic acceleration techniques are used to obtain a robust algor
ithm that can be used for a large variety of energy transport problems
. The advantages of such an algorithm are, first, that it solves the t
rue (S(n)) transport equations, secondly, a positive differencing sche
me which verifies the asymptotic diffusion limit is used, and, finally
, the S(n) equations are accelerated by the S2 synthetic acceleration
method, which allows the acceleration of high order schemes in plane a
nd curvilinear geometries. The code has been validated with some Marsh
ak wave propagation problems found in the bibliography, and successful
ly used to simulate the conversion experiments of laser and ion beams
into X-rays.