Discontinuous Galerkin Method for Linear Free-Surface Gravity Waves

نویسندگان

  • Jaap J. W. van der Vegt
  • Satyendra K. Tomar
چکیده

• Weak formulation: – Involves a typical primal DG formulation for the Laplace equation (see Arnold et al. (2002)). – Adopt the numerical flux proposed by Brezzi et al. (1999). – Second order accurate time discretization is used for the time derivative in the free surface boundary condition (Van der Vegt and Tomar (2005)). • Finite element discretization results in a symmetric and positive definite linear system. This property gives stability to the present method.

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عنوان ژورنال:
  • J. Sci. Comput.

دوره 22  شماره 

صفحات  -

تاریخ انتشار 2005