Matematicheskoe modelirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Model.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskoe modelirovanie, 2012, Volume 24, Number 8, Pages 32–44 (Mi mm3299)  

This article is cited in 46 scientific papers (total in 46 papers)

Mathematical model for calculating coastal wave processes

A. I. Sukhinova, A. E. Chistyakova, E. F. Timofeevab, A. V. Shishenyaa

a Taganrog Institute of Technology of the Southern Federal University
b North Caucasus State Technical University
References:
Abstract: A mathematical model for the wave hydrodynamics problem, describing wash ashore and taking into account such physical parameters as turbulence exchange, complexity of domain and coastal line geometry, and bottom friction is developed. For the given mathematical model a discrete model is constructed, taking into account dynamical changing of the calculation domain. Proposed technique for mathematical models sampling takes into account fullness of the control cells. This technique allows improving the real accuracy of a solution in case of complex domain geometry, by improving approximation of the boundary. A software implementation and numerical experiments of the posed problem of the wave hydrodynamics are performed.
Keywords: hydrodynamics, numerical experiment, wave process, balance method, numerical experiment.
Received: 26.09.2011
English version:
Mathematical Models and Computer Simulations, 2013, Volume 5, Issue 2, Pages 122–129
DOI: https://doi.org/10.1134/S2070048213020087
Bibliographic databases:
Document Type: Article
UDC: 519.6:532.5
Language: Russian
Citation: A. I. Sukhinov, A. E. Chistyakov, E. F. Timofeeva, A. V. Shishenya, “Mathematical model for calculating coastal wave processes”, Mat. Model., 24:8 (2012), 32–44; Math. Models Comput. Simul., 5:2 (2013), 122–129
Citation in format AMSBIB
\Bibitem{SukChiTim12}
\by A.~I.~Sukhinov, A.~E.~Chistyakov, E.~F.~Timofeeva, A.~V.~Shishenya
\paper Mathematical model for calculating coastal wave processes
\jour Mat. Model.
\yr 2012
\vol 24
\issue 8
\pages 32--44
\mathnet{http://mi.mathnet.ru/mm3299}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3053267}
\zmath{https://zbmath.org/?q=an:1289.76010}
\elib{https://elibrary.ru/item.asp?id=21276780}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 2
\pages 122--129
\crossref{https://doi.org/10.1134/S2070048213020087}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928988509}
Linking options:
  • https://www.mathnet.ru/eng/mm3299
  • https://www.mathnet.ru/eng/mm/v24/i8/p32
  • This publication is cited in the following 46 articles:
    1. Alexander Sukhinov, Elena Protsenko, Sofya Protsenko, Lecture Notes in Computer Science, 15406, Supercomputing, 2025, 74  crossref
    2. Martin Føre, Morten Omholt Alver, Jo Arve Alfredsen, Adil Rasheed, Thor Hukkelås, Hans V. Bjelland, Biao Su, Sveinung J. Ohrem, Eleni Kelasidi, Tomas Norton, Nikos Papandroulakis, “Digital Twins in intensive aquaculture — Challenges, opportunities and future prospects”, Computers and Electronics in Agriculture, 218 (2024), 108676  crossref
    3. A. I. Sukhinov, E. A. Protsenko, S. V. Protsenko, N. D. Panasenko, “Parallel Numerical Implementation of Mathematical Wave Hydrodynamics Models Taking into Account the Features of the Vertical Turbulent Exchange Using Remote Sensing Data”, Math Models Comput Simul, 16:2 (2024), 267  crossref
    4. O. S. Yazovtseva, “Numerical Study of Wave Processes during Oxidative Regeneration of a Stationary Catalyst Layer”, Math Models Comput Simul, 16:S2 (2024), S272  crossref
    5. E. Protsenko, A. Sukhinov, S. Protsenko, S. Kovačević, K.V. Kamyshev, “Predictive modeling of wave hydrodynamics and relief formation in the presence of multi-scale turbulent exchange”, E3S Web of Conf., 376 (2023), 01082  crossref
    6. E. A. Protsenko, N. D. Panasenko, A. V. Strazhko, “Original article Spatial-three-dimensional wave processes' modeling in shallow water bodies taking into account the vertical turbulent exchange features”, CMIT, 6:1 (2023), 34  crossref
    7. A. I. Sukhinov, E. A. Protsenko, S. V. Protsenko, N. D. Panasenko, “Parallel numerical implementation of mathematical wave hydrodynamics models taking into account the features of vertical turbulent exchange using remote sensing data”, Matem. Mod., 35:12 (2023), 51–68  mathnet  mathnet  crossref
    8. Sofya Protsenko, 2023 Applied Mathematics, Computational Science and Mechanics: Current Problems (AMCSM), 2023, 1  crossref
    9. Alexander Sukhinov, Alexander Chistyakov, Inna Kuznetsova, Yulia Belova, Elena Rahimbaeva, “Solving Hydrodynamic Problems Based on a Modified Upwind Leapfrog Scheme in Areas with Complex Geometry”, Mathematics, 10:18 (2022), 3248  crossref
    10. A I Sukhinov, A E Chistyakov, E A Protsenko, S V Protsenko, “Coastal protection structures influence on diffraction and reflection of waves simulation based on 3D wave hydrodynamics model”, J. Phys.: Conf. Ser., 1902:1 (2021), 012133  crossref
    11. A I Sukhinov, A E Chistyakov, I Y Kuznetsova, E A Protsenko, A M Atayan, “Modeling of soil dumping based on a modified Upwind Leapfrog difference scheme”, J. Phys.: Conf. Ser., 1745:1 (2021), 012120  crossref
    12. T V Lyashchenko, I A Lyapunova, A E Chistyakov, A V Nikitina, A A Filina, A L Leontiev, “Modelling the pollutants transport in the “air-water” system of a shallow water”, IOP Conf. Ser.: Mater. Sci. Eng., 1029:1 (2021), 012080  crossref
    13. Protsenko V S., Applied Mathematics, Computational Science and Mechanics: Current Problems, Journal of Physics Conference Series, 1479, IOP Publishing Ltd, 2020  crossref  isi  scopus
    14. Sukhinov I A. Chistyakov A.E. Kuznetsova I.Y. Protsenko E.A., Applied Mathematics, Computational Science and Mechanics: Current Problems, Journal of Physics Conference Series, 1479, IOP Publishing Ltd, 2020  crossref  isi  scopus
    15. A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, A. M. Atayan, “Lineinaya kombinatsiya skhem «kabare» i «krest» s vesovymi koeffitsientami, poluchennymi iz usloviya minimizatsii poryadka pogreshnosti approksimatsii”, Chebyshevskii sb., 21:4 (2020), 243–256  mathnet  crossref
    16. A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, V. V. Sidoryakina, S. V. Protsenko, “Set of coupled suspended matter transport models including three-dimensional hydrodynamic processes in the coastal zone”, Math. Models Comput. Simul., 12:5 (2020), 757–769  mathnet  mathnet  crossref  crossref
    17. S. V. Protsenko, A. M. Atayan, A. E. Chistyakov, A. V. Nikitina, V. N. Litvinov, A. A. Filina, “Eksperimentalnoe issledovanie silovykh nagruzok na opory nadvodnoi konstruktsii na osnove matematicheskoi modeli volnovykh protsessov”, Vestn. YuUrGU. Ser. Vych. matem. inform., 8:3 (2019), 27–42  mathnet  crossref  elib
    18. Sukhinov A.I. Chistyakov A.E. Protsenko S.V. Sidoryakina V.V., “Coupled 3D Wave and 2D Bottom Deposit Transportation Models For the Prediction of Harmful Phenomena in Coastal Zone”, Trends in the Analysis and Design of Marine Structures, Proceedings in Marine Technology and Ocean Engineering, 2, ed. Parunov J. Soares C., Crc Press-Balkema, 2019, 597–603  crossref  isi
    19. A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, V. V. Sidoryakina, S. V. Protsenko, “Accounting method of filling cells for the hydrodynamics problems solution with complex geometry of the computational domain”, Math. Models Comput. Simul., 12:2 (2020), 232–245  mathnet  mathnet  crossref  crossref
    20. Yu. V. Belova, A. M. Atayan, A. E. Chistyakov, A. V. Strazhko, “Study on stationary solutions to the problem of phytoplankton dynamics considering transformation of phosphorus, nitrogen and silicon compounds”, Vestnik Donskogo gosudarstvennogo tehničeskogo universiteta, 19:1 (2019), 4  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
    Statistics & downloads:
    Abstract page:948
    Full-text PDF :243
    References:100
    First page:33
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025