Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network

  Advanced Search  

Space-time discontinuous Galerkin finite element method for shallow water flows

Summary: Space-time discontinuous Galerkin finite
element method for shallow water flows
V.R. Ambati , O. Bokhove
Numerical Analysis and Computational Mechanics Group,
P.O. Box 217, Department of Applied Mathematics, University of Twente,
Enschede, The Netherlands
A space-time discontinuous Galerkin (DG) finite element method is presented for
the shallow water equations over varying bottom topography. The method results
in non-linear equations per element, which are solved locally by establishing the ele-
ment communication with a numerical HLLC flux. To deal with spurious oscillations
around discontinuities, we employ a dissipation operator only around discontinu-
ities using Krivodonova's discontinuity detector. The numerical scheme is verified
by comparing numerical and exact solutions, and validated against a laboratory
experiment involving flow through a contraction. We conclude that the method is
second order accurate in both space and time for linear polynomials.
Key words: Shallow water equations, Discontinuous Galerkin finite element
methods, Discontinuity detector, Numerical dissipation
PACS: 35L65, 65M60
1 Introduction


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


Collections: Engineering