کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
521921 867798 2012 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A realizability-preserving discontinuous Galerkin method for the M1 model of radiative transfer
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A realizability-preserving discontinuous Galerkin method for the M1 model of radiative transfer
چکیده انگلیسی

The M1 model for radiative transfer coupled to a material energy equation in planar geometry is studied in this paper. For this model to be well-posed, its moment variables must fulfill certain realizability conditions. Our main focus is the design and implementation of an explicit Runge–Kutta discontinuous Galerkin method which, under a more restrictive CFL condition, guarantees the realizability of the moment variables and the positivity of the material temperature. An analytical proof for our realizability-preserving scheme, which also includes a slope-limiting technique, is provided and confirmed by various numerical examples. Among other things, we present accuracy tests showing convergence up to fourth-order, compare our results with an analytical solution in a Riemann problem, and consider a Marshak wave problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 231, Issue 17, 1 July 2012, Pages 5612–5639
نویسندگان
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