We present a higher order accurate discontinuous Galerkin finite element method for the simulation of linear free-surface gravity waves. The method uses the classical Runge-Kutta method for the time-discretization of the free-surface equations and the discontinuous Galerkin method for the space-disc
Discontinuous Galerkin Method for Linear Free-Surface Gravity Waves
β Scribed by J.J.W. van der Vegt; S.K. Tomar
- Book ID
- 106421170
- Publisher
- Springer US
- Year
- 2005
- Tongue
- English
- Weight
- 385 KB
- Volume
- 22-23
- Category
- Article
- ISSN
- 0885-7474
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π SIMILAR VOLUMES
A space-time discontinuous Galerkin (DG) finite element method for nonlinear water waves in an inviscid and incompressible fluid is presented. The space-time DG method results in a conservative numerical discretization on time dependent deforming meshes which follow the free surface evolution. The a
## a b s t r a c t We present a new discontinuous Galerkin method for solving the second-order wave equation using the standard continuous finite element method in space and a discontinuous method in time directly applied to second-order ode systems. We prove several optimal a priori error estimate