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Propagation of Flood Wave in River and Construction Riverbanks – Example of River Velika Morava

Received: 26 December 2019     Accepted: 3 February 2020     Published: 13 February 2020
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Abstract

In hydraulics area there is an open space for apply of numerical methods, instead of frequently used empirical formulas. At first place numerical methods may be used in river flow hydraulics and ground water flow. Application of numerical methods is given enough correct results and prediction for all parameters in river flow, that is presented in this paper. Natural phenomenon of flood wave is researched and original numerical method is shown, having calculation of water depth as primary goal. There are different amount of flooding in river in correspondence with event frequency which are monitored through numerical calculation and measuring. Numerical calculation of water depth in huge amount of flooding is important for defined defense areas. In this paper is researched flood wave in river Velika Morava, propagated from city Naissus to measuring station Bagrdan, continuing to city Smederevo where is merged with Danube. Flooding is unsteady flow with dominant part of kinetic energy. Propagation of flood wave is analyzed as plane problem and through numerical procedure are calculated values of water depth. Calculation results of propagated flood wave is treated with measured data water depth H and discharge Q. Presented calculated and measured data are compared and they have small differences, therefor results are acceptable as correct. Whole volume of flooded water in river is analyzed for calculation results correction and average cross section of flow is got.

Published in American Journal of Applied Mathematics (Volume 8, Issue 2)
DOI 10.11648/j.ajam.20200802.11
Page(s) 46-50
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2020. Published by Science Publishing Group

Keywords

Numerical Methods, Flood Wave, Defense of Flood

References
[1] A. Rajčević, Flood wave spreading in streams and riverbanks planning – flood wave modeling (Prostiranje poplavnog talasa u vodotoku i uređenje rečnih obala – modeliranje poplavnog talasa), Water and sanitary technique (Voda i sanitarna tehnika) 3/2013, Belgrade.
[2] Institute Jaroslav Černi, Water resources systems base (Vodoprivredna osnova), Belgrade, 2002.
[3] B. Jovanović and D. Radunović, Numerical methods (Numeričke metode), Mathematics faculty in Belgrade, 2003.
[4] Republic hydro meteorological service of Serbia, Measuring data.
[5] A. Rajčević, S. Djordjević, M. Ivetić and Č. Maksimović, An Approach to the Simulation of Street Flooding in the Modelling of Surcharged Flow in Storm Sewers, Proc. UDT `91 Conference, Dubrovnik, 1991., Elsevier.
[6] A. Rajčević, S. Djordjević, M. Ivetić and Č. Maksimović, Modelling of Surcharged Flow in Storm Sewers with Water Exchange Through The Inlet Openings, Hydrocomp `92 Conference, Budapest, 1992.
[7] G. Hajdin, Fluid Mechanics (Mehanika fluida), Gradjevinska knjiga, Faculty of Civil Engineering, University of Belgrade, 1983.
[8] G. Hajdin, Fluid Mechanics book II Introduction in hydraulics (Mehanika fluida knjiga druga Uvodjenje u hidrauliku), Faculty of Civil Engineering, University of Belgrade, 2002.
[9] Č. Maksimović, D. Obradović and M. Radojković, Computational sanitary hydrotechnique (Računari u komunalnoj hidrotehnici), Gradjevinska knjiga, Belgrade, 1990.
[10] B. Djordjević, Water resources systems (Vodoprivredni sistemi), Naučna kjiga, Faculty of Civil Engineering, University of Belgrade, 1990.
[11] M. Boreli, Hydraulics (Hidraulika), Naučna knjiga, Faculty of Civil Engineering, University of Belgrade, 1984.
[12] A. Rajčević, S. Djordjević, M. Drašković and Č. Maksimović, UDM – Italiana (Urban drainage modelling Italiana), Institute of Hydrotechnics, Faculty of Civil Engineering, University of Belgrade, 1993. (unpublished).
[13] A. Rajčević, Hydrology seminar paper, Faculty of Civil Engineering, University of Belgrade, 1989. (unpublished).
[14] A. Rajčević, Exploring water powers seminar paper, Faculty of Civil Engineering, University of Belgrade, 1989. (unpublished).
[15] A. Rajčević, River Regulation seminar paper, Faculty of Civil Engineering, University of Belgrade, 1989. (unpublished).
[16] D. Prodanović, D. Pavlović and N. Branisavljević, Flow measurment in the short structures in hydraulic complex conditions – HE “Djerdap 2” case study (Merenje protoka na kratkim objektima u hidraulički neregularnim uslovima na primeru HE “Djerdap 2”), Vodoprivreda Vol. 43 No. 252-254, Belgrade, Serbia.
[17] I. Mitrović, Cooperation of Danube waterway administrations through Newada project (Saradnja dunavskih administracija za plovne puteve kroz projekat Newada), Vodoprivreda Vol. 43 No. 249-251, Belgrade, Serbia.
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  • APA Style

    Aleksandra Rajcevic. (2020). Propagation of Flood Wave in River and Construction Riverbanks – Example of River Velika Morava. American Journal of Applied Mathematics, 8(2), 46-50. https://doi.org/10.11648/j.ajam.20200802.11

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    ACS Style

    Aleksandra Rajcevic. Propagation of Flood Wave in River and Construction Riverbanks – Example of River Velika Morava. Am. J. Appl. Math. 2020, 8(2), 46-50. doi: 10.11648/j.ajam.20200802.11

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    AMA Style

    Aleksandra Rajcevic. Propagation of Flood Wave in River and Construction Riverbanks – Example of River Velika Morava. Am J Appl Math. 2020;8(2):46-50. doi: 10.11648/j.ajam.20200802.11

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  • @article{10.11648/j.ajam.20200802.11,
      author = {Aleksandra Rajcevic},
      title = {Propagation of Flood Wave in River and Construction Riverbanks – Example of River Velika Morava},
      journal = {American Journal of Applied Mathematics},
      volume = {8},
      number = {2},
      pages = {46-50},
      doi = {10.11648/j.ajam.20200802.11},
      url = {https://doi.org/10.11648/j.ajam.20200802.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20200802.11},
      abstract = {In hydraulics area there is an open space for apply of numerical methods, instead of frequently used empirical formulas. At first place numerical methods may be used in river flow hydraulics and ground water flow. Application of numerical methods is given enough correct results and prediction for all parameters in river flow, that is presented in this paper. Natural phenomenon of flood wave is researched and original numerical method is shown, having calculation of water depth as primary goal. There are different amount of flooding in river in correspondence with event frequency which are monitored through numerical calculation and measuring. Numerical calculation of water depth in huge amount of flooding is important for defined defense areas. In this paper is researched flood wave in river Velika Morava, propagated from city Naissus to measuring station Bagrdan, continuing to city Smederevo where is merged with Danube. Flooding is unsteady flow with dominant part of kinetic energy. Propagation of flood wave is analyzed as plane problem and through numerical procedure are calculated values of water depth. Calculation results of propagated flood wave is treated with measured data water depth H and discharge Q. Presented calculated and measured data are compared and they have small differences, therefor results are acceptable as correct. Whole volume of flooded water in river is analyzed for calculation results correction and average cross section of flow is got.},
     year = {2020}
    }
    

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    T1  - Propagation of Flood Wave in River and Construction Riverbanks – Example of River Velika Morava
    AU  - Aleksandra Rajcevic
    Y1  - 2020/02/13
    PY  - 2020
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    DO  - 10.11648/j.ajam.20200802.11
    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
    SP  - 46
    EP  - 50
    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ajam.20200802.11
    AB  - In hydraulics area there is an open space for apply of numerical methods, instead of frequently used empirical formulas. At first place numerical methods may be used in river flow hydraulics and ground water flow. Application of numerical methods is given enough correct results and prediction for all parameters in river flow, that is presented in this paper. Natural phenomenon of flood wave is researched and original numerical method is shown, having calculation of water depth as primary goal. There are different amount of flooding in river in correspondence with event frequency which are monitored through numerical calculation and measuring. Numerical calculation of water depth in huge amount of flooding is important for defined defense areas. In this paper is researched flood wave in river Velika Morava, propagated from city Naissus to measuring station Bagrdan, continuing to city Smederevo where is merged with Danube. Flooding is unsteady flow with dominant part of kinetic energy. Propagation of flood wave is analyzed as plane problem and through numerical procedure are calculated values of water depth. Calculation results of propagated flood wave is treated with measured data water depth H and discharge Q. Presented calculated and measured data are compared and they have small differences, therefor results are acceptable as correct. Whole volume of flooded water in river is analyzed for calculation results correction and average cross section of flow is got.
    VL  - 8
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Author Information
  • Faculty of Civil Engineering, University of Belgrade, Belgrade, Serbia

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