کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
520983 867746 2008 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Time step restrictions for Runge–Kutta discontinuous Galerkin methods on triangular grids
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Time step restrictions for Runge–Kutta discontinuous Galerkin methods on triangular grids
چکیده انگلیسی

We derive CFL conditions for the linear stability of the so-called Runge–Kutta discontinuous Galerkin (RKDG) methods on triangular grids. Semidiscrete DG approximations using polynomials spaces of degree p=0,1,2p=0,1,2, and 3 are considered and discretized in time using a number of different strong-stability-preserving (SSP) Runge–Kutta time discretization methods. Two structured triangular grid configurations are analyzed for wave propagation in different directions. Approximate relations between the two-dimensional CFL conditions derived here and previously established one-dimensional conditions can be observed after defining an appropriate triangular grid parameter h and a constant that is dependent on the polynomial degree p of the DG spatial approximation. Numerical results verify the CFL conditions that are obtained, and “optimal”, in terms of computational efficiency, two-dimensional RKDG methods of a given order are identified.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 227, Issue 23, 1 December 2008, Pages 9697–9710
نویسندگان
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