Geodesic
Numerical model of shallow water dynamics in the channel of the Volga: estimation of roughness
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2013), pp. 114-130

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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 $n_M^\mathrm{max}=0.047$.
Mots-clés : Saint Venant model
Keywords: numerical methods, floods, roughness coefficient. 
@article{VUU_2013_1_a10,
     author = {A. V. Pisarev and S. S. Khrapov and E. O. Agafonnikova and A. V. Khoperskov},
     title = {Numerical model of shallow water dynamics in the channel of the {Volga:} estimation of roughness},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {114--130},
     publisher = {mathdoc},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2013_1_a10/}
}
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A. V. Pisarev; S. S. Khrapov; E. O. Agafonnikova; A. V. Khoperskov. Numerical model of shallow water dynamics in the channel of the Volga: estimation of roughness. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2013), pp. 114-130. http://geodesic.mathdoc.fr/item/VUU_2013_1_a10/