| | |
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
SPACE-TIME 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
|
