Dyakonova T.A. The Method of Estimation of the Effective Roughness Coefficient in the Meandering Channels Based on Numerical Simulation

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https://doi.org/10.15688/mpcm.jvolsu.2018.1.7

Tatyana Andreevna Dyakonova
Senior Lecturer, Department of Information Systems and Computer Simulation,
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. We propose the method for calculating the Manning effective coefficient that allows estimating the resistance to water flows in meandering river channels. The method is based on the numerical non-stationary models of the dynamics of shallow water in the irregular channel. We show the decrease in the average velocity of the fluid in the meandering channel in comparison with the straight-channel. On the basis of the N.B. Baryshnikov’s constructed dependence of the average velocity in the channel cross-section from the main value of the Manning coefficient, we determine the contribution to the flow resistance from meandering of the  channel. The  numerical  model  utilizes  the  Saint-Venant  equations,  which  describe  the dynamics of flows in the theory of shallow water  and considers the irregular of the relief, external and internal forces, and the work of sources. For integrating the system of equations, we use the CSPH-TVD method and parallel technologies CUDA. With an increase in the degree of sinuosity of the channel, we have a decrease in the average  velocity  of  the  fluid  in  the  section  of  the  channel.  Varying  the  main  value  of  the Manning  coefficient  n₀  in  the  straight-channel,  we  estimated  the  contribution  to  the  flow resistance from the meandering of the channel and obtained the values of the effective Manning coefficient of the channel for various sets of parameters.

Key words: hydrodynamic simulation, Chezy model, meandering channel, numerical model, roughness coefficient.

The Method of Estimation of the Effective Roughness Coefficient in the Meandering Channels Based on Numerical Simulation by Dyakonova T.A. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Mathematical Physics and Computer Simulation. Vol. 21 No. 1 2018, pp. 64-69

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