Flood control and management by CAPABLE simulator of unsteady flow in river

Document Type : Research Paper


1 Msc in Hydraulic Structure, Faculty of Agriculture, Tarbiat Modarres University, Tehran, Iran

2 Professor of Water Structures Engineering, Faculty of Agriculture, Tarbiat Modarres University, Tehran, Iran

3 Assistant Professor of Water Structures Engineering, Faculty of Agriculture, Tarbiat Modarres University, Tehran, Iran


Flood flow importance enforces we to simulate its components exactly. In this study, saint-venant equations in conservative form are usedto simulate one-dimensional rapidly varied flow in the river. Upstream methods of Godunov family in finite volume frame work are used to numerical solution. According to Flow conditions in the river, the equations used are included in the source term of the bed slope, friction slope, change within width, and lateral flows. These factors grant high performance to the model. The method is based on solving a series of Riemann problems. HLL and Roe Riemann solver is used to approximate the flux. To improve the accuracy of the order of one to two MUSCL algorithms is used. To evaluate the performance of the proposed numerical algorithms, model results are compared with Analytical Solution and experimental data. At the end, sensitivity of effective parameters in numerical results have been measured. According to the results, both algorithms provide solutions with high precision and optimum results and they have a great ability to simulate one-dimensional flow in different hydraulic conditions in the river.


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