Numerical model of shallow water dynamics in the channel of the Volga: estimation of roughness

A. V. Pisarev ; S. S. Khrapov ; E. O. Agafonnikova ; A. V. Khoperskov

Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2013), pp. 114-130

Résumé

The results for the numerical simulation of the dynamics of shallow waters for the Volga–Akhtuba floodplain are discussed. The mathematical model is based on the system of Saint-Venant equations. The numerical solution uses a combined Lagrangian–Eulerian (CSPH-TVD) algorithm. We investigated the characteristics of spring flood in 2011 and received the inapplicability of the hydrodynamical model with the constant roughness coefficient $n_M$. The agreement between the results of numerical simulations and the observations data at hydroposts allowed us to obtain estimates $n_M $ in low water $n_M^\mathrm{min}=0.02$ and the maximum water level in the channel of the Volga $n_M^\mathrm{max}=0.047$.

Détail

Mots-clés : Saint Venant model
Keywords: numerical methods, floods, roughness coefficient.

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