A Discontinuous Galerkin Method for the Shallow Water Equations with Source Terms
The authors present a numerical solution for the shallow water equations based on the Runge Kutta Discontinuous Galerkin method. Modeling sink and source terms introduces restrictions to the space discretization and a modification of the slope limiter. Hydraulic test problems and a real-world application show the good performance of the scheme.
KeywordsDiscontinuous Galerkin Shallow Water Equation Discontinuous Galerkin Method Friction Loss Numerical Flux
Unable to display preview. Download preview PDF.
- Cockburn, B. (1998): Discontinuous Galerkin methods for convection dominated problems. RTO-ATV/VKI Special Course: Higher order discretisation methods in computational fluid dynamics. von Karman Institute, Belgium.Google Scholar
- Stansby, P.K., Chegini, A., Barnes, T.C.D. (1998): The initial stages of dam-break flow. J. Fluid Mech. 374, Cambridge University Press, pp. 407–424.Google Scholar
- Stoker, J. (1957): Water Waves. Interscience.Google Scholar