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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, Issue 1, Pages 114–130 (Mi vuu368)  

This article is cited in 6 scientific papers (total in 6 papers)

MECHANICS

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

Volgograd State University, Volgograd, Russia

Abstract: 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 $n_M^\mathrm{max}=0.047$.

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

Full text: PDF file (2591 kB)
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UDC: 517.958+531.32
MSC: 86A05
Received: 27.08.2012

Citation: 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”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 1, 114–130

Citation in format AMSBIB
\Bibitem{PisKhrAga13}
\by A.~V.~Pisarev, S.~S.~Khrapov, E.~O.~Agafonnikova, A.~V.~Khoperskov
\paper Numerical model of shallow water dynamics in the channel of the Volga: estimation of roughness
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2013
\issue 1
\pages 114--130
\mathnet{http://mi.mathnet.ru/vuu368}


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    This publication is cited in the following articles:
    1. N. M. Kuzmin, A. V. Belousov, T. S. Shushkevich, S. S. Khrapov, “Chislennaya skhema cSPH — TVD: issledovanie vliyaniya ogranichitelei naklonov”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2014, no. 1(20), 22–33  mathnet
    2. T. A. Dyakonova, A. V. Pisarev, A. V. Khoperskov, S. S. Khrapov, “Matematicheskaya model dinamiki poverkhnostnykh vod”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2014, no. 1(20), 35–44  mathnet
    3. A. V. Belousov, S. S. Khrapov, “Razrabotka programmy dlya chislennogo gazodinamicheskogo modelirovaniya na osnove lagranzhevo-eilerovoi skhemy LES — ASG”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2015, no. 1(26), 30–39  mathnet  crossref
    4. A. G. Losev, A. V. Khoperskov, A. S. Astakhov, Kh. M. Suleimanova, “Problemy izmereniya i modelirovaniya teplovykh i radiatsionnykh polei v biotkanyakh: analiz dannykh mikrovolnovoi termometrii”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2015, no. 6(31), 31–71  mathnet  crossref
    5. T. A. Dyakonova, S. S. Khrapov, A. V. Khoperskov, “Problema granichnykh uslovii dlya uravnenii melkoi vody”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 26:3 (2016), 401–417  mathnet  crossref  mathscinet  elib
    6. S. S. Khrapov, N. M. Kuzmin, M. A. Butenko, “Sravnenie tochnosti i skhodimosti dlya metoda CSPH — TVD i nekotorykh eilerovykh skhem dlya resheniya uravnenii gazodinamiki”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2016, no. 6(37), 166–173  mathnet  crossref
  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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