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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 5, Pages 900–916
DOI: https://doi.org/10.31857/S0044466920050087
(Mi zvmmf11084)
 

This article is cited in 9 scientific papers (total in 9 papers)

Mathematical modeling of spot dynamics in a stratified medium

V. A. Gushchin, I. A. Smirnova

Institute for Computer Aided Design, Russian Academy of Sciences, Moscow, 123056 Russia
Citations (9)
References:
Abstract: The investigation of dynamics of mixed fluid spots in a stratified environment is of interest both for the study of the ocean fine structure and for the study of wake dynamics behind moving underwater objects. The paper is devoted to the construction of a physical and mathematical model for this problem. Salinity is used as the stratifying component. This model is described by the Navier–Stokes equations in the Boussinesq approximation. The problem is solved using a recent version of the splitting method by physical factors the finite difference scheme of which has a high approximation order, minimum scheme viscosity and dispersion, and, which is especially important for problems with large gradients of hydrophysical parameters, problems with a free surface and internal waves, the monotonicity property. Numerous test computations for the study of the influence of grid parameters on the results are performed. The results of comparison with analytical estimates, experimental data, and computations of other researchers are presented. By way of example, the dynamics of the salinity perturbation is discussed, which corresponds to the isophase lines describing the behavior of internal waves during the collapse of spots.
Key words: incompressible viscous fluid, stratification, salinity, Boussinesq approximation, collapse of spots, splitting method.
Received: 16.09.2019
Revised: 16.09.2019
Accepted: 14.01.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 5, Pages 879–894
DOI: https://doi.org/10.1134/S0965542520050085
Bibliographic databases:
Document Type: Article
UDC: 519.6:532.5
Language: Russian
Citation: V. A. Gushchin, I. A. Smirnova, “Mathematical modeling of spot dynamics in a stratified medium”, Zh. Vychisl. Mat. Mat. Fiz., 60:5 (2020), 900–916; Comput. Math. Math. Phys., 60:5 (2020), 879–894
Citation in format AMSBIB
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Linking options:
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  • https://www.mathnet.ru/eng/zvmmf/v60/i5/p900
  • This publication is cited in the following 9 articles:
    1. V. A. Gushchin, I. A. Smirnova, THE 5TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE IN INFORMATION SYSTEMS (CIIS 2022): Intelligent and Resilient Digital Innovations for Sustainable Living, 2968, THE 5TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE IN INFORMATION SYSTEMS (CIIS 2022): Intelligent and Resilient Digital Innovations for Sustainable Living, 2023, 060003  crossref
    2. V. A. Guschin, “Razrabotka i primenenie metoda rasschepleniya po fizicheskim faktoram dlya issledovaniya techenii neszhimaemoi zhidkosti”, Kompyuternye issledovaniya i modelirovanie, 14:4 (2022), 715–739  mathnet  crossref
    3. Margarita N. Favorskaya, Ilia S. Nikitin, Natalia S. Severina, Smart Innovation, Systems and Technologies, 274, Advances in Theory and Practice of Computational Mechanics, 2022, 1  crossref
    4. V. A. Gushchin, I. A. Smirnova, APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS'21, 2522, APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS'21, 2022, 080002  crossref
    5. Valentin A. Gushchin, Irina A. Smirnova, Smart Innovation, Systems and Technologies, 274, Advances in Theory and Practice of Computational Mechanics, 2022, 77  crossref
    6. Valentin A. Gushchin, Smart Innovation, Systems and Technologies, 215, Smart Modelling for Engineering Systems, 2021, 25  crossref
    7. Valentin A. Gushchin, Vasilii G. Kondakov, Irina A. Smirnova, Smart Innovation, Systems and Technologies, 217, Applied Mathematics and Computational Mechanics for Smart Applications, 2021, 35  crossref
    8. V. A. Gushchin, I. A. Smirnova, “On a vortex couple dynamics in fluid”, Application of Mathematics in Technical and Natural Sciences (Amitans 2020), AIP Conf. Proc., 2302, ed. M. Todorov, Amer. Inst. Phys., 2020, 120006  crossref  isi
    9. V A Gushchin, I A Smirnova, “On the formation of a vortex couple in fluid”, IOP Conf. Ser.: Mater. Sci. Eng., 927:1 (2020), 012050  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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