Author(s): Sebastian Roger; Benjamin J. Dewals IAHR Member; Sébastien Erpicum; Dirk Schwanenberg IAHR Member; Holger Schüttrumpf IAHR Member; Jürgen Köngeter IAHR Member; Michel Pirotton IAHR Member

Linked Author(s): Benjamin J. Dewals, Holger Schüttrumpf, Jürgen Köngeter, Michel Pirotton

Keywords: Boussinesq coefficients; discontinuous Galerkin; dike break; shallow water

Abstract: Experimental model data are compared with numerical computations of dike-break induced flows, focusing on the final steady state. An idealized scale model was designed reproducing the specific boundary conditions of dike breaks. Discharges, water level, and depth profiles of horizontal velocities were recorded and validated by numerical modeling. The latter was performed by two different models solving the two-dimensional depth-averaged shallow water equations, namely a total variation diminishing Runge-Kutta discontinuous Galerkin finite element method, and a finite volume scheme involving a flux vector splitting approach. The results confirmed convergence and general applicability of both methods for dike-break problems. As regards their accuracy, the basic flow pattern was satisfactorily reproduced yet with differences compared to the measurements. Hence, additional simulations by the finite volume model were performed considering various turbulence closures, wall-roughnesses as well as nonuniform Boussinesq coefficients.

DOI: https://doi.org/10.1080/00221686.2009.9522006

Year: 2009