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An Approach to Numerical Studies of the Hydrology of Don Delta Area

  • WATER RESOURCES AND THE REGIME OF WATER BODIES
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Abstract

Water flow in the Don R. delta is described by a system of Saint-Venant equations written in the characteristic form. The calculation domain is represented as a graph with edges corresponding to channel segments and nodes corresponding to branching points. The problem was solved by finite-difference methods with equations approximated by implicit schemes. The simulated water discharges and flow velocities in major Don delta branches were compared with observation data and showed the adequacy of the model. The model was used to reproduce the pattern of flows in the branches which was observed in the period from September 13 to 15, 2016.

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REFERENCES

  1. Aleshkin, S.A., Mathematical modeling of hydrological–morphological processes in nontidal river deltas, Cand. Sci. (Geogr.) Dissertation, Moscow: Moscow State University, 2004, p. 243.

  2. Baryshnikov, N.B., Gidravlicheskie soprotivleniya rechnykh rusel (Hydraulic Resistance of River Channels), St. Petersburg: RGGMU, 2003.

  3. Voevodin, A.F., Nikiforovskaya, V.S., and Ovcharova, A.S., Numerical methods for solving the problem of transient water flow in river mouth areas, in Tr. AANII (Trans. Arctic Antarct. Res. Inst.), St. Petersburg: Gidrometeoizdat, 1983, vol. 378, pp. 23–34.

  4. Zhulikov, G.A., Aleksyuk, A.I., and Belikov, V.V., Numerical simulation of river flows in the approximation of many-layer shallow water, Nauchnye problemy ozdorovleniya rossiiskikh rek i puti ikh resheniya. Sb. nauch. tr. (Scientific Problems of Sanitation of Russian Rivers and Ways to Their Solution. Coll. Sci. Papers), Nizhny Novgorod: Izd. Studiya F1, 2019, pp. 131–135.

    Google Scholar 

  5. Ivanov, V.V., Mikhalev, M.A., Marchenko, A.S., Piskun, A.A., and Chernin, K.E., Hydraulic method for calculating water and channel regime in multibranch river channels, Tr. Arkt. Antarkt. Nauchno-Issled. Inst., 1984, vol. 378, pp. 5–22.

    Google Scholar 

  6. Ivanov, V.V. and Svyatskii, A.Z., Numerical modeling of seawater invasion in river mouths at seasonal time scale, Vodn. Resur., 1987, no. 5, pp. 116–122.

  7. http://gis.vodinfo.ru/ (Accessed: 19.06.2017).

  8. Koren’, V.I., Matematicheskie modeli v prognozakh rechnogo stoka (Mathematical Models in River Flow Forecasts), Leningrad: Gidrometeoizdat, 1991.

  9. Krylenko, I.N., Studying backwater effects in the confluence node of the Sukhona and Yug rivers using computer simulation, Vest. Mosk. Univ., Ser. 5, Geogr., 2009, no. 1, pp. 53–58.

  10. Lebedeva, S.V., Flow dynamics in a multibranch tidal mouth of a large river. Case study of the Northern Dvina R., Cand. Sci. (Geogr.) Dissertation, Moscow: Moscow State University, 2016, p. 211.

  11. Matishov, G.G. and Ermolaev, A.I., Mir karavaiki i vzmor’ya glazami donskikh kazakov (The World of Glossy Ibis and Nearshore in the Eyes of Don Cossacks), Rostov-on-Don: Yuzh. Nauch. Ts., Ross. Akad. Nauk, 2016.

  12. Mishin, D.V. and Polonskii, V.F., Studying transient water flows in the nontidal mouth of the Don River, Tr. Gos. Okeanogr. Inst., 2013, no. 214, pp. 166–179.

  13. Ostroumova, L.P., Investigation of surges in marine estuaries (a case study for the Don River mouth), Russ. Meteorol. Gidrol., 2017, no. 12, pp. 792–802.

  14. Simov, V.G., Gidrologiya ust’ev rek Azovskogo morya (River Mouth Hydrology in Rivers of the Sea of Azov), Moscow: Gidrometeoizdat, 1989.

  15. Chikin, A.L., Kleshchenkov, A.V., Chikina, L.G., and Korshun, A.M., Setup level variations in Don mouth area: numerical modeling and scenarios of changes, Nauka Yuga Ross., 2017, vol. 13, no. 3, pp. 39–49.

    Google Scholar 

  16. Aleksyuk, A.I. and Belikov, V.V., Simulation of shallow water flows with shoaling areas and bottom discontinuities, Comput. Math. Math. Phys., 2017, vol. 57, no. 2, pp. 318–339.

    Article  Google Scholar 

  17. Savenije H.H.G., Salinity and Tides in Alluvial Estuaries. Second Completely Revised Edition. 2012. http://www.salinityandtides.com (Accessed January 8, 2015).

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Funding

This study was carried out as an implementation of the Governmental Order to the Southern Research Center, Russian Academy of Sciences in what regards the analysis of hydrological processes (State Registration АААА-А18-118122790121-5), RFBR scientific project in what regards the development of methods of numerical modeling (18-05-80010 “Studying and Forecasting Hazardous Hydrometeorological and Geological-Geomorphological Processes in the Areas of Functioning of Strategic Objects on the Azov–Black Sea Coast (Historical and Present-Day Aspects).”) The calculations were made in the cluster of TsKP Southern Federal University “High-Performance Calculations.”

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Authors and Affiliations

  1. Federal Research Centre, Southern Scientific Centre, Russian Academy of Sciences, 344006, Rostov-on-Don, Russia

    A. L. Chikin & A. V. Kleshchenkov

  2. Southern Federal University, Southern Scientific Center, Russian Academy of Sciences, 344006, Rostov-on-Don, Russia

    L. G. Chikina

Authors
  1. A. L. Chikin
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  2. A. V. Kleshchenkov
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  3. L. G. Chikina
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Correspondence to A. L. Chikin.

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Translated by G. Krichevets

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Chikin, A.L., Kleshchenkov, A.V. & Chikina, L.G. An Approach to Numerical Studies of the Hydrology of Don Delta Area. Water Resour 48, 646–653 (2021). https://doi.org/10.1134/S0097807821050079

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  • DOI: https://doi.org/10.1134/S0097807821050079

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