NON-LINEAR MATHEMATICAL-MODEL OF THE PROPAGATION OF TIDES IN INTERLACING CHANNELS

被引：3

作者：

DEBNATH, L

CHATTERJEE, AK

机构：

[1] Mathematics Department, East Carolina University, Greenville

[2] Hydraulic Study Department, Calcutta Port Trust, Calcutta

来源：

COMPUTERS & FLUIDS | 1979年 / 7卷 / 01期

关键词：

D O I：

10.1016/0045-7930(79)90002-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A nonlinear mathematical model for the propagation of tides in interlacing channels is presented. The problem is solved with the help of a high speed digital computer using the explicit finite difference method with leap-frog operator. A grid scheme is developed to simulate the propagation of tides in the confluence of the channels. It is shown that the new scheme can incorporate any number of junctions of a single river as well as the junction of any number of tidal rivers. The model is studied both for the proving stages as well as for application to the interaction between the incoming tide from the downstream end and abnormal freshet discharges from the upward end of the different tributaries. It is shown that the computational results are in good agreement with the data observed in the model. © 1979.

引用

页码：1 / 12

页数：12

共 6 条

[1]

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[2]

Sen, Chatterjee, Discussions on mathematical model of River Hooghly, J. of Water Ways and Harbour Division. ASCE, 2, pp. 283-285, (1972)

[3]

Dronkers, Tidal Computations in Rivers and Coastal Waters, (1964)

[4]

Courant, Isaacson, Rees, On the solution of nonlinear hyperbolic differential equations by finite difference, Communications on Pure and Applied Mathematics, 5, pp. 243-252, (1952)

[5]

Chatterjee, Ghatak, Mathematical model of a tidal river with tributaries, Proc. 43rd Annual Res. Sessions, (1971)

[6]

Nag, Sen, Mathematical model of the upper reaches of Hooghly, Proc. 39th Annual Res. Session, (1969)

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