Journal of Quantitative Spectroscopy & Radiative Transfer 71 (2001) 541–550 www.elsevier.com/locate/jqsrt Development of a radiation transport uid dynamic code under AMR scheme F. Ogando, P. Velarde ∗ Instituto de Fusi on Nuclear= ETSII, Universidad Politecnica de Madrid, C= Jos e Guti errez Abascal 2, 28006 Madrid, Spain Abstract A radiation uid dynamic code using the adaptive mesh renement (AMR) method for processes related to inertial connement fusion (ICF) has been developed. In order to treat the radiation eld properly, a radiation transport solver has been implemented that also uses the capabilities of our AMR. In this paper, both the algorithms used, and simulation results are presented. ? 2001 Elsevier Science Ltd. All rights reserved. Keywords: AMR; Radiation transport; ICF; CFD 1. Introduction Radiation transport plays an important role in several stages of the ICF target evolution. Radiation driven implosions, radiation preheating and radiation cooling of the compressed core are cases where an accurate radiation transport simulation is required in order to obtain reliable results. The simplest model for calculating the radiation transport is ux-limited multigroup diusion, but under certain conditions, the anisotropy of the radiation eld may invalidate the assumptions of the radiation diusion model, leading to inaccurate results. This happens, for example, when there is an optically thin material, as in a hohlraum cavity where the density of the lling material is low. In order to overcome the limitations of the diusion model with respect to anisotropy, a radiation transport scheme has to be implemented for the resolution of the energy transfer. The simplest numerical approximation is the discrete ordinates method (S n ), where the solid angle is discretized into several regions that are solved independently, which makes this method suitable for cases of strong anisotropy. A well known [1] problem when solving the radiation transport ∗ Corresponding author. Fax: +34-91-336-3002. E-mail address: pedro@din.upm.es (P. Velarde). 0022-4073/01/$-see front matter ? 2001 Elsevier Science Ltd. All rights reserved. PII:S0022-4073(01)00096-6