The Numerical Simulation of Shallow Water: Estimation of the Roughness Coefficient on the Flood Stage
Author(s) -
С. С. Храпов,
Andrey Pisarev,
Ivan A. Kobelev,
Artur G. Zhumaliev,
Ekaterina Agafonnikova,
Alexander Losеv,
А. В. Хоперсков
Publication year - 2013
Publication title -
advances in mechanical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.318
H-Index - 40
eISSN - 1687-8140
pISSN - 1687-8132
DOI - 10.1155/2013/787016
Subject(s) - stage (stratigraphy) , flood myth , shallow water equations , computer simulation , constant (computer programming) , surface finish , spring (device) , mathematics , mechanics , physics , statistical physics , geology , computer science , thermodynamics , materials science , geography , paleontology , archaeology , composite material , programming language
The results of the numerical simulations of the dynamics of shallow waters for Volga-Akhtuba Floodplain are discussed. The mathematical model is based on the system of Saint-Venant equations. Numerical solution applies a combined Lagrangian-Eulerian (cSPH-TVD) algorithm. We have investigated the features of the spring flood in 2011 and found the inapplicability of the hydrodynamical model with the constant roughness coefficient nM. We have found a good agreement between the results of numerical simulations and the observational data at gauging stations which allows us to estimate nM in low water nMmin=0.02 and the maximum water level in the river Volga nMmax= 0.06–0.07
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