A NUMERICAL CORRECTION OF THE M1-MODEL IN THE DIFFUSIVE LIMIT

作者：Berthon Christophe^*; Turpault Rodolphe

来源：Discrete and Continuous Dynamical Systems - Series S, 2012, 5(2): 245-255.

DOI：10.3934/dcdss.2012.5.245

• Hyperbolic conservation laws with source term
• radiative transfer
• asymptotic preserving
• Rosseland mean value

The present work concerns the numerical simulations of radiative transfer. To address such an issue, the M1-model is here adopted. Indeed, this moment model is known to preserve several essential physical properties about radiative energy and radiative flux. In addition, it reduces drastically the numerical cost of the simulations. Unfortunately, the model is not able to restore the expected diffusive regime as prescribed by physics. To correct such a failure, a suitable numerical procedure is derived. The proposed approximation technique enforces, in a sense to be specified, a numerical diffusive regime governed by the Rosseland%26apos;s mean value of the opacity as imposed by the radiative transfer equation. Numerical experiments issuing from relevant physical benchmarks, illustrate the interest of the derived method.

• 出版日期2012-4