A Numerical Model for 1D Bed Morphology Calculations

被引：11

作者：

Kalita, Hriday Mani ^{[1
]}

机构：

[1] Natl Inst Technol Meghalaya, Dept Civil Engn, Shillong 793003, Meghalaya, India

来源：

WATER RESOURCES MANAGEMENT | 2020年 / 34卷 / 15期

关键词：

Shallow water equations; Exner equation; TVD scheme; Morphodynamic model; SHALLOW-WATER; SEDIMENT TRANSPORT; DIFFUSION-MODEL; FLOW SIMULATION; AGGRADATION; DEGRADATION; MACCORMACK; EVOLUTION; SCHEME; WAVES;

D O I：

10.1007/s11269-020-02707-0

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

The present work proposes a new morphodynamic model for flow simulation in open channels. The governing one dimensional (1D) shallow water equations along with the Exner sediment continuity equation are solved here using coupled approach. A TVD based MacCormack predictor corrector method is used here for solution of the coupled governing equations. The developed numerical model is used to replicate several test cases of known experimental and approximate solutions. These cases include bed aggradation due to sediment overloading, bed degradation due to sediment shut-off, dam break flow over erodible bed and movable bump due to subcritical and transcritical flows. The results obtained are found to be excellent and free from oscillations near sharp gradient. The numerical model is also found to be capable of capturing the wave-fronts of both water surface and bed sediment. Quantitative analysis of the results in terms of two statistical parameters establishes the potential of the present model in more complicated practical problems.

引用

页码：4975 / 4989

页数：15

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