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European Conference on Computational Fluid Dynamics ECCOMAS CFD 2006
 

Summary: European Conference on Computational Fluid Dynamics
ECCOMAS CFD 2006
P. Wesseling, E. O~nate and J. P´eriaux (Eds)
c TU Delft, The Netherlands, 2006
FLOODING AND DRYING IN DISCONTINUOUS
GALERKIN DISCRETIZATIONS OF SHALLOW WATER
EQUATIONS
Vijaya R. Ambati
University of Twente, Department of Applied Mathematics
Ravelijn, 7500 AE Enschede, The Netherlands
e-mail: v.r.ambati@math.utwente.nl
web page: http://www.math.utwente.nl/ambativr/
Key words: Flooding and Drying, Front Tracking, Discontinuous Galerkin, Finite Ele-
ment Methods
Abstract. Accurate modeling of flooding and drying is important in forecasting river
floods and near-shore hydrodynamics. We consider the space-time discontinuous Galerkin
finite element discretization for shallow water equations with linear approximations of
flow field. In which, the means (zeroth order approximation) is used to conserve the mass
and momentum, and the slopes (first order approximation) are used to capture the front
movement accurately in contrast to the finite volume schemes, where the slopes have to be

  

Source: Al Hanbali, Ahmad - Department of Applied Mathematics, Universiteit Twente

 

Collections: Engineering