کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
500388 863086 2007 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The local discontinuous Galerkin method for three-dimensional shallow water flow
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
The local discontinuous Galerkin method for three-dimensional shallow water flow
چکیده انگلیسی

We formulate and present a stability analysis for the local discontinuous Galerkin method applied to a model of three-dimensional shallow water flow. This model is described by the Navier–Stokes equations, assuming hydrostatic pressure. The resulting system of equations is given by momentum equations for the x and y components of velocity, the continuity equation, which is used to solve for the vertical component of velocity, and an equation describing the motion of the free surface. Our analysis includes the full nonlinearities in the model with no simplifying assumptions and accounts for the movement of the mesh due to the free surface. To our knowledge this is the first analysis of any numerical scheme for this complex system of equations. Numerical results are presented which demonstrate the accuracy of the method for a problem with a known analytical solution.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 196, Issues 4–6, 1 January 2007, Pages 734–746
نویسندگان
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