Numerical Simulation of Shallow-Water Flow Using a Modified Cartesian Cut-Cell Approach
Publication: Journal of Engineering Mechanics
Volume 136, Issue 3
Abstract
The Cartesian cut-cell method can be used to represent irregular and complex computational domains with less computational efforts by cutting the grid cells on the boundary surfaces in a background uniform Cartesian mesh. In this study, a modified Cartesian cut-cell grid technique is proposed to better represent complex physical geometries. A point shifting treatment was employed to determine the start and end points of a line segment in cut-cell grids. This led to an improved representation of sharply-shaped corners in surface polygons. Numerical simulation to solve a set of shallow-water equations was performed by incorporating a finite volume approach into the Cartesian cut-cell mesh. The advective fluxes at intercells were first estimated by a Harten, Lax and van Leer for contact wave approximate Riemann solver. In order to improve the model accuracy to the second order, a total variation diminishing-weighted average flux method was applied to work adaptively with the cut-cell mesh. The numerical model was then employed to simulate dam-break flow propagation in a small channel with a rectangular obstacle or a 45° bend. The numerical results show good agreement with available laboratory measurements.
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Acknowledgments
This study was financially supported by the Construction Technology Innovation Program (Grant No. UNSPECIFIED08-Tech-Inovation-F01) through the Research Center of Flood Defense Technology for Next Generation in Korea Institute of Construction and Transportation Technology Evaluation and Planning (KICTEP) of the Ministry of Land, Transport and Maritime Affairs (MLTM).
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© 2010 ASCE.
History
Received: Aug 6, 2008
Accepted: Jun 8, 2009
Published online: Feb 12, 2010
Published in print: Mar 2010
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