Numerical Simulation of Shallow-Water Flow Using a Modified Cartesian Cut-Cell Approach
- Authors
- Kim, Hyung-Jun; Lee, Jin Woo; Cho, Yong-Sik
- Issue Date
- Mar-2010
- Publisher
- ASCE-AMER SOC CIVIL ENGINEERS
- Keywords
- Approximate Riemann solver; Cut-cell approach; Dam failures; Dam-break flows; Shallow water; Shallow-water flows; Simulation; TVD-WAF method; Water flow
- Citation
- JOURNAL OF ENGINEERING MECHANICS, v.136, no.3, pp.399 - 404
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF ENGINEERING MECHANICS
- Volume
- 136
- Number
- 3
- Start Page
- 399
- End Page
- 404
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/175350
- DOI
- 10.1061/(ASCE)EM.1943-7889.0000065
- ISSN
- 0733-9399
- 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 degrees bend. The numerical results show good agreement with available laboratory measurements.
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