摘要
本文提出了一种处理带有干湿界面的非恒定浅水流动的无质量误差方法。以Roe格式的近似Riemann解为基础,采用非结构化网格的有限体积法,对底坡源项采用特征分解保证和谐性,摩擦力源项采用半隐式格式增加格式的稳定性。采用适当的干湿界面处理技术以满足静水问题,同时对有干湿界面的复杂地形的非恒定流动达到无质量误差。应用的算例表明对于处理洪水演进及溃坝问题,本文的方法是行之有效的。
A wetting-drying condition （WDC） for unsteady shallow water flow in two dimensions leading to zero mass error is presented. The WDC has been incorporated into a cell-centred finite volume method based on Roe＇s approximate Riemann solver on unstructured grids. The discretization of the bed slope source terms was done following an upwind approach and the semi-implicit treatment was used for the friction source terms. It is shown that this numerical technique reproduces exactly steady state of still water and enables to achieve zero numerical errors in unsteady flow over configurations with strong variations on bed slope. Numerical results are shown which demonstrate the effectiveness of the WDC in flood propagation and dam break flows over real complex geometries and bottom slope variation.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
2008年第5期515-521,共7页
Chinese Journal of Hydrodynamics
关键词
干湿界面
无质量误差
复杂地形
非结构化网格
wetting/drying conditions
zero mass error
complex topography
unstructured grids
