 
Summary: 8th. World Congress on Computational Mechanics (WCCM8)
5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008)
June 30 July 5, 2008
Venice, Italy
SPACETIME VARIATIONAL (DIS)CONTINUOUS GALERKIN
METHOD FOR FREE SURFACE WAVES.
* V.R. Ambati1, O. Bokhove2 and J.J.W. van der Vegt3
1,2,3 Numerical Analysis and Computational Mechanics Group,
Department of Applied Mathematics, University of Twente.
P.O. Box 217, 7500 AE Enschede, The Netherlands.
1 v.r.ambati@math.utwente.nl and http://www.math.utwente.nl/ambativr
2 o.bokhove@math.utwente.nl and http://www.math.utwente.nl/bokhoveo
3 j.j.w.vandervegt@math.utwente.nl and http://www.math.utwente.nl/vegtjjw
Key Words: Free Surface Waves, Discontinuous Galerkin, Variational Principle, Finite Element Meth
ods.
ABSTRACT
Many water wave problems in marine and offshore engineering are studied using nonlinear free surface
wave model which consists of a potential flow equation supplemented with kinematic and dynamic free
surface boundary conditions. These equations can be derived from Luke's variational principle [3]. Such
a variational principle has the advantage of completely describing the physics of the problem using a
