浅水流动与污染物扩散的高分辨率计算模型

High-Resolution Numerical Model for Shallow Water Flows and Pollutant Diffusions

1.
School of Mechanic Engineering, Shanghai Jiaotong University, Shanghai 200030, P R China;
2.
Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P R China

摘要: 将组合型TVD格式应用于守恒型的浅水方程和污染物扩散方程,建立了二者耦合求解的高分辨率有限体积计算模型。给出了溃坝水流、明渠突扩流和污染物输运计算的典型算例,并与实验数据或其它数值结果进行了比较,证实了该模型的有效性,表明它不但能处理有激波的非恒定流问题,也能较好地计算具有任意边界的一般的浅水流动和污染物扩散问题,为浅水流动和水环境模拟提供了精度高、稳定性好、普适性强的数值方法。
- 浅水流动 /
- 污染物扩散 /
- TVD /
- 有限体积 /
- 数值模拟
Abstract: A finite-volume high-resolution numerical model for coupling the shallow water flows and pollutant diffusions was presented based on using a hybrid TVD scheme in space discretization and a Runge-Kutta method in time discretization. Numerical simulations for modelling dam-break, enlarging open channel flow and pollutant dispersion were implemented and compared with experimental data or other published computations. The validation of this method shows that it can not only deal with the problem involving discontinuities and unsteady flows, but also solve the general shallow water flows and pollutant diffusions.
- shallow water flow /
- pollutant diffusion /
- TVD scheme /
- finite-volume method /
- numerical simulation

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