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

WANG Jia-song; HE You-sheng

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(7): 661-666

WANG Jia-song, HE You-sheng. High-Resolution Numerical Model for Shallow Water Flows and Pollutant Diffusions[J]. Applied Mathematics and Mechanics, 2002, 23(7): 661-666.

Citation:

WANG Jia-song, HE You-sheng. High-Resolution Numerical Model for Shallow Water Flows and Pollutant Diffusions[J]. Applied Mathematics and Mechanics, 2002, 23(7): 661-666.

Citation:

WANG Jia-song, HE You-sheng. High-Resolution Numerical Model for Shallow Water Flows and Pollutant Diffusions[J]. Applied Mathematics and Mechanics, 2002, 23(7): 661-666.

PDF( 270 KB)

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

WANG Jia-song¹,
HE You-sheng²

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

Received Date: 2001-06-08
Rev Recd Date: 2002-02-28
Publish Date: 2002-07-15

Abstract

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

FullText(HTML)

References(9)

References

[1]	Elder J W.The dispersion of marked fluid in turbulent shear flow[J].J Fluid Mech,1959,(5):546-560.
[2]	WANG Jia-song,NI Han-gen.A high-resolution finite-volume method for shallow water equations[J].J of Hydrodynamics,Ser B,2000,(1):35-41.
[3]	WANG Jia-song,NI Han-gen,HE You-sheng.Finite-difference TVD scheme for computation of dam-break problems[J].ASCE J Hydr Eng,2000,126(4):253-262.
[4]	王嘉松.浅水流动和污染物扩散计算的有限差分和有限体积高分辨率算法[R].上海交通大学工程力学系博士后出站报告,2000,8.
[5]	Yang J Y,Hsu C A.Computations of free surface flows,part 2:2 Dunsteady bore diffraction[J].J Hydr Res,1993,31(3):403-412.
[6]	陈景仁.湍流模型及有限分析法[M].上海:上海交通大学出版社,1989.
[7]	McGuirk J J,Rodi W.A depth-averaged mathematical model for the near field of side discharges into open channel flow[J].J Fluid Mech,1978,86(4):761-781.
[8]	Ye J.McCorquodale J A.Depth-averaged hydrodynamics model in curvilinear collocated grid[J].ASCE J Hydr Eng,1997,123(3):380-388.
[9]	Demuren A O,Rodi W.Side discharge into open channels:Mathematical model[J].ASCE J Hydr Eng,1982,109(12):1707-1722.