519.6:532.5 The Mathematical modeling of a spots chain with different intervals in a stratified

Gushchin V. A. (Institute for Computer Aided Design of the Russian Academy of Sciences), Smirnova I. A. (Institute for Computer Aided Design of the Russian Academy of Sciences)

INCOMPRESSIBLE VISCOUS FLUID, SALINITY, STRATIFICATION, BOUSSINESQ APPROXIMATION, SPLITTING METHOD


doi: 10.18698/2309-3684-2023-3-8091


A comparison is made of the spots chain dynamics of mixed liquid in a stratified environment, with different initial intervals between spots. For mathematical modeling, the SMIF method (splitting method for studying incompressible fluid flows) is used. The finitedifference scheme of the method has the second order of approximation in terms of spatial variables, minimal scheme dissipation and dispersion, and has the property of monotonicity. The results of comparing the dynamics of the stream function depending on the initial interval between spots are presented for the same values of the Reynolds and Froude numbers.


Phillips O.M. The generation of clear-air turbulence by the degradation of internal waves. Atmospheric Turbulence and Radio Wave Propagation (Ed. by A. Yaglom and V. Tartarski), Moscow, Nauka Publ., 1967, pp. 130–138.
Fedorov K.N. Tonkaya termohalinnaya struktura vod okeana [Thin thermohaline structure of ocean waters]. Leningrad, Hydrometeoizdat Publ., 1976, 184 p.
Turner J.S. Buoyancy effects in fluids. Cambridge, Cambridge Univ. Press, 1973, 367 p.
Scorer R.S. Environmental aerodynamics. New York, Halsted Press, 1978, 488 p.
Monin A.S., Ozmidov R.V. Okeanskaya turbulentnost' [Ocean turbulence]. Leningrad, Hydrometeoizdat Publ., 1981, 320 p.
Gushchin V.A., Smirnova I.A. Mathematical modeling of spot dynamics in a stratified medium. Computational Mathematics and Mathematical Physics, 2020, vol. 60, no. 5, pp. 879–894.
Gushchin V.A., Smirnova I.A. The criterion for the integrity of a spots chain in a stratified fluid. The Fourteenth International Conference on Applied Mathematics and Mechanics in the Aerospace Industry (AMMAI'2022), Moscow, MAI Press, pp. 319–321


Гущин В.А., Смирнова И.А. Математическое моделирование цепочки пятен с различными интервалами в стратифицированной жидкости. Математическое моделирование и численные методы, 2023, № 3, с. 80–91.


Работа выполнена в рамках Госзадания ИАП РАН.


Download article

Количество скачиваний: 38