Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (7): 741-747.
• 论文 • 下一篇
王嘉松1, 何友声2
收稿日期:
2001-06-08
修回日期:
2002-02-28
出版日期:
2002-07-18
发布日期:
2002-07-18
基金资助:
WANG Jia-song1, HE You-sheng2
Received:
2001-06-08
Revised:
2002-02-28
Online:
2002-07-18
Published:
2002-07-18
Supported by:
摘要: 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.
中图分类号:
王嘉松;何友声. HIGH-RESOLUTION NUMERICAL MODEL FOR SHALLOW WATER FLOWS AND POLLUTANT DIFFUSIONS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(7): 741-747.
WANG Jia-song;HE You-sheng. HIGH-RESOLUTION NUMERICAL MODEL FOR SHALLOW WATER FLOWS AND POLLUTANT DIFFUSIONS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(7): 741-747.
[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] WANG Jia-song.Finite-difference and finite volume high-resolution methods for shallow water flow and pollutant diffusion[R].Post Doc Report of Shanghai Jiaotong University,2000,8.(in Chinese). [5] Yang J Y, Hsu C A. Computations of free surface flows, part 2: 2D unsteady bore diffraction[J]. J Hydr Res,1993,31(3):403-412. [6] CHEN Jing-ren.Turbulence Models and Finite-Analysis Method[M].Shanghai:Shanghai Jiaotong University Press,1989.(in Chinese). [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. |
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