کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
521692 867783 2013 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A semi-implicit, semi-Lagrangian, p-adaptive discontinuous Galerkin method for the shallow water equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A semi-implicit, semi-Lagrangian, p-adaptive discontinuous Galerkin method for the shallow water equations
چکیده انگلیسی

A semi-implicit and semi-Lagrangian discontinuous Galerkin method for the shallow water equations is proposed, for applications to geophysical scale flows. A non conservative formulation of the advection equation is employed, in order to achieve a more treatable form of the linear system to be solved at each time step. The method is equipped with a simple p-adaptivity criterion, that allows to adjust dynamically the number of local degrees of freedom employed to the local structure of the solution. Numerical results show that the method captures well the main features of gravity and inertial gravity waves, as well as reproducing correct solutions in nonlinear test cases with analytic solutions. The accuracy and effectiveness of the method are also demonstrated by numerical results obtained at high Courant numbers and with automatic choice of the local approximation degree.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 232, Issue 1, 1 January 2013, Pages 46–67
نویسندگان
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