phone +7 (3412) 91 60 92
mail imi@udsu.ru
ru-RU Russian
Home » Issues » Archive of Issues » 2013 - 1 issue » pp. 114-130

Archive of Issues

Russia Volgograd
Year
2013
Issue
1
Pages
114-130
<<
>>
Section Mechanics
Title Numerical model of shallow water dynamics in the channel of the Volga: estimation of roughness
Author(-s) Pisarev A.V.a, Khrapov S.S.a, Agafonnikova E.O.a, Khoperskov A.V.a
Affiliations Volgograd State Universitya
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 $n_M^{\min} = 0.02$ and the maximum water level in the channel of the Volga $n_M^{\max} = 0.047$.
Keywords Saint Venant model, numerical methods, floods, roughness coefficient
UDC 517.958, 531.32
MSC 86A05
DOI 10.20537/vm130111
Received 27 August 2012
Language Russian
Citation Pisarev A.V., Khrapov S.S., Agafonnikova E.O., Khoperskov A.V. Numerical model of shallow water dynamics in the channel of the Volga: estimation of roughness, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 1, pp. 114-130.
References
  1. Khrapov S.S., Pisarev A.V., D’yakonova T.A., Khoperskov A.V. Computer modeling of the dynamics of surface water in the Volga-Akhtuba floodplain based supercomputer technology, Matematicheskie metody v tekhnike i tekhnologiyakh: sb. tr. XXV Mezhdunarodnoi konferentsii (Mathematical methods in technics and technologies: abstracts of XXV International conference), Volgograd, 2012, vol. 2, pp. 5–7.
  2. Khrapov S.S., Khoperskov A.V., Eremin M.A., Gusarov D.N., Plyakin A.V., Filippov O.V., Zolotarev D.V., Kuz’min N.M. Electronic model of flooding of the Volga-Akhtuba flood hydrographs for various special spring water discharge of the Volga hydroelectric and water supply hoses Akhtuba technology-based Geographic Information Systems, Vestn. Volgograd. Gos. Univ., Mat. Fiz., 2008, no. 11, pp. 201–207.
  3. Bolgov M.V., Krasnozhon G.F., Shatalova K.Yu. Computer simulation of changes in water level in the Lower Volga, Prirodoobustroistvo, 2009, no. 4, pp. 68–72.
  4. Pisarev A.V., Khrapov S.S., Voronin A.A., D’yakonova T.A., Tsirkova E.A. The role of infiltration and avaporation in the flooding dynamics of the Volfa–Akhtuba floodplain, Vestn. Volgograd. Gos. Univ., Mat. Fiz., 2012, no. 1 (16), pp. 43–47.
  5. Baryshnikov N.B. Gidravlicheskie soprotivleniya rechnykh rusel (Hydraulic resistance of river channels), St-Petersburg: Russian State Hydrometeorological University, 2003, 145 p.
  6. Khrapov S.S., Khoperskov A.V., Kuz’min N.M., Pisarev A.V., Kobelev I.A. Numerical scheme for dynamic simulation of surface water based on SPH-TVD method, Vychisl. Metody Program., 2011, vol. 12, no. 1, pp. 282–297.
  7. Shakura N.I., Sunyaev R.A. Black holes in binary systems. Observational appearance, Astron. Astrophys., 1973, vol. 24, pp. 337–355.
  8. Fridman A.M., Khoperskov A.V. Fizika galakticheskikh diskov (Physics of galactic disks), Moscow: Fizmatlit, 2011, 645 p.
  9. Klibashev K.P., Goroshkov I.F. Gidrologicheskie raschety (Нydrological calculations), Leningrad: Gidrometeoizdat, 1970, 184 p.
  10. Voronin A.A., Eliseeva M.V, Pisarev A.V., Khoperskov A.V., Khrapov S.S. Simulation models of surface water dynamics using remote sensing data: effect of terrian, Prikasp. Zh. Upr. Vys. Tekhnol., 2012, no. 3 (19), pp. 54–62.
  11. Shokin Yu.I, Chubarov L.B., Marchuk A.G., Simonov K.V. Vychislitel’nyi eksperiment v problem tsunami (Computer experiment in the problem of tsunami), Novosibirsk: Nauka, 1989, 168 p.
  12. Voevodin A.F., Nikiforovskaya V.S., Vinogradova T.A. Mathematical models to predict the propagation of waves of devastating floods in the system of open channels and watercourses, Vestn. St-Peterbg. Univ., Ser. 7, 2009, no. 3, pp. 138–144.
  13. Eremin M.A., Khoperskov A.V. A computer model of the Volga dam break, Vestn. Volgograd. Gos. Univ., Mat. Fiz., 2006, vol. 10, pp. 139–142.
  14. Shokin U.I., Chubarov L.B., Fedotova Z.I. Usage of numerical simulation methods to assess the catastrophic effects of long waves on coastal areas, Problemy Bezopasnosti i Chrezvychainykh Situatsii, 2007, no. 4, pp. 104–113.
  15. Babailov V.V., Beizel’ S.A., Gusev A.A., Gusyakov V.K., Eletskii S.V., Zyskin I.A., Kamaev D.A., Fedotova Z.I., Chubarov L.B., Shokin Yu.I. Information and computational aspects of improving the national tsunami warning system, Vychisl. Tekhnol., 2008, vol. 13, pp. 4–20.
  16. Beizel’ S.A., Chubarov L.B., Khakimzyanov G.S. Simulation of surface waves generated by an underwater landslide moving over an uneven slope, Russ. J. Numer. Anal. Math. Model., 2011, vol. 26, no. 1, pp. 17-38.
  17. Hakimzyanov G.S., Shokina N.Yu. Numerical modeling of surface waves generated by underwater landslide motion over the uneven bottom, Vychisl. Tekhnol., 2010, vol. 15, no. 1, pp. 105–119.
  18. Kivva S.L., Zheleznyak M.I. Numerical simulation of two-dimensional open flow with moving boundaries: calculations and runoff in the catchment area of tsunami waves rolling to shore, Proceedings of International Conference RDAAM-2001, 2001, vol. 6, no. 2, pp. 343–350.
  19. Egorov V.A. Numerical computations of viscous flows in channels with a model floodplain, Mat. Zametki YAGU, 2008, vol. 15, no. 2, pp. 92–105.
  20. Belikov V.V., Glotko A.V. Computer simulation of low-flow and flood flows in the Cheboksary reservoir using different numerical methods, Prirodoobustroistvo i Ratsional’noe Prirodopol’zovanie - Neobkhodimye Usloviya Sotsial’no-Ekonomicheskogo Razvitiya Rossii, Moscow: Moscow State University of Environmental Engineering, 2005, vol. 1, pp. 204–210.
  21. Chikin A.L. Construction and numerical study of 3D hydrodynamic model of the Azov Sea, Sovremennye problemy prikladnoi matematiki i mekhaniki: teoriya, eksperiment i praktika: tr. Mezhdunar. konf. (Modern problems of applied mathematics and mechanics: Proc. of Int. Conf.), Novosibirsk, Akademgorodok, 2001, vol. 6, pp. 686–692.
  22. Kosheleva E.D., Koshelev K.B. Komp'yuternoe modelirovanie vzaimodeistviya gruntovykh i poverkhnostnykh vod v zone Burlinskogo magistral’nogo kanala (Computer simulation of the interaction of ground-water and surface water in the area of Burlin trunk), Barnaul: Altai State Agricultural University, 2010, 237 p.
  23. Potapov I.I., Shchekacheva M.A. Determination of the coastal rate of erosion for the rivers with sandy bottom, Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2011, no. 4, pp. 116–120.
  24. Petrov A.G., Potapov I.I. Mechanisms of bottom waves in a channel with a sandy bottom, Prikl. Mekh. Tekh. Fiz., 2011, vol. 52, no. 2, pp. 81–91.
  25. Baryshnikov N.B., Subbotina E.S., Demidova Yu.V. Coefficients of roughness of river channel, Uch. Zap. Ross. Gos. Gidromet. Univ., 2010, no. 12, pp. 14–21.
  26. Makkaveev N.I. Ruslo reki i erosiya v ee basseine (The riverbed and erosion in the basin), Moscow: Moscow State University, 2003, 355 p.
  27. Omid M.H., Karbasi M., Farhoudi J. Effects of bed-load movement on flow resistance over bed forms, Sadhana, 2010, vol. 35, no. 6, pp. 681–691.
  28. Shpakovskaya S.M. Simulation of channel deformations, taking into account the influence of vegetation, Vestn. Mosk. Univ., Ser. 5, Geogr., 2010, no. 1, pp. 50–55.
  29. Cormont A., van der Sluis S. Morphodynamics and vegetation succession along the Allier and the Lower Volga rivers, Utrecht University, 2003, 120 p.
  30. Dijkstra J.T. The influence of vegetation on scroll bar development, M. Sc. Thesis. Delft University of Technology, 2003, 93 p.
  31. Baryshnikov N.B. Dinamika ruslovykh potokov (Dynamics of channel flow), St-Petersburg: Russian State Hydrometeorological University, 2007, 314 p.
  32. Grinvald D.I., Nikora V.I. Rechnaya turbulentnost’ (The river turbulence), Leningrad: Gidrometeoizdat, 1988, 152 p.
  33. Chalov R.S., Zavadskii A.S., Panin A.V. Rechnye izluchiny (The meanders), Moscow: Moscow State University, 2004, 371 p.
  34. Sidorchuk A.U. Bottom moving of the ridges in a hierarchical complex and drawn by sediment runoff, Dinamika i termika rek, vodokhranilishch i pribrezhnoi zony morei: tr. V konf., Moscow, 1999, pp. 380–383.
  35. Matishov G.G., Chikin A.L. One approach to the modeling of wind flows in Kerch Strait, Dokl. Akad. Nauk, Ross. Akad. Nauk, 2012, vol. 445, no. 3, pp. 342–345.
  36. Mazur G.S. Determination of water flow of river flows with a minimum of field measurements, Izv. Irkutsk. Gos. Univ., Ser. Nauki o Zemle, 2009, vol. 1, no. 1, pp. 93–106.
Full text
/doc/issues-2013/13-01-11.pdf
<< Previous article
Next article >>