کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
499932 863066 2006 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On discontinuous Galerkin approximations of Boltzmann moment systems with Levermore closure
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
On discontinuous Galerkin approximations of Boltzmann moment systems with Levermore closure
چکیده انگلیسی

This work considers the discontinuous Galerkin (DG) finite element discretization of first-order systems of conservation laws derivable as moments of the kinetic Boltzmann equation with Levermore [C.D. Levermore, Moment closure hierarchies for kinetic theories, J. Statist. Phys. 83 (5–6) (1996) 1021–1065] closure. Using standard energy analysis techniques, a new class of energy stable numerical flux functions are devised for the DG discretization of Boltzmann moment systems. Simplified energy stable numerical fluxes are then constructed which replace exact state space integration in the numerical flux with Gauss–Lobatto quadrature. Numerical results for supersonic flow over a cylinder geometry in the continuum and transitional regimes using 5 and 10 moment approximations are presented using the newly devised DG discretizations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 195, Issues 25–28, 1 May 2006, Pages 3311–3330
نویسندگان
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