期刊
JOURNAL OF HYDRAULIC RESEARCH
卷 50, 期 6, 页码 599-611出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00221686.2012.730556
关键词
Cartesian cut-cell method; depth-averaged RANS equation; HLLC Riemann solver; k - epsilon turbulence model; MUSCL scheme; TVD Runge-Kutta scheme; well-balanced scheme; wet-dry front capturing method
资金
- NSF CAREER [EAR-0846523]
A two-dimensional (2D) depth-averaged model is developed for simulating unsteady turbulent shallow-water flows with dry-wet fronts (e.g. dambreak flow). The model is based on 2D depth-averaged Reynolds-averaged Navier stokes equations coupled with the k - epsilon turbulence model. The high-resolution MUSCL scheme (monotone upstream-centred schemes for conservation laws) is implemented to minimize numerical diffusions. A novel augmented Harten-Lax-van Leer-contact Riemann solver is used to solve the governing equations simultaneously. A body-fitted mesh is generated by using the Cartesian cut-cell method to accommodate irregular boundaries. The model is tested against two laboratory experiments to examine whether or not turbulence model is essential for simulating unsteady turbulent flow. The results show that the addition of the k - epsilon turbulence model significantly improves the modelling results at places of strong turbulence activities. To further improve the results, a more accurate turbulence model for unsteady flow and dispersion terms in the momentum equations is needed.
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