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Zh. Vychisl. Mat. Mat. Fiz., 2011, Volume 51, Number 2, Pages 268–281 (Mi zvmmf8062)  

This article is cited in 14 scientific papers (total in 14 papers)

Numerical simulation and visualization of vortical structure transformation in the flow past a sphere at an increasing degree of stratification

V. A. Gushchin, P. V. Matyushin

Institute for Computer-Aided Design, Russian Academy of Sciences, ul. Vtoraya Brestskaya 19/18, Moscow, 123056 Russia

Abstract: Based on numerical simulation and visualization, the vortex structure of the flow past a sphere moving uniformly and horizontally in a linearly (density) stratified viscous fluid with an increasing degree of stratification (with the internal Froude number Fr decreasing from infinity to 0.005) at Re = 100 is analyzed in detail for the first time. The classification of the flow regimes is refined. The direct numerical simulation is based on the method of splitting with respect to physical factors (MERANZH) with an explicit hybrid finite-difference scheme, which is second-order accurate in space, monotone, and has a minimal numerical viscosity and dispersion.

Key words: stratified viscous fluid, sphere wake, direct numerical simulation, visualization, vortex structures, internal waves.

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English version:
Computational Mathematics and Mathematical Physics, 2011, 51:2, 251–263

Bibliographic databases:

UDC: 532.5.011.12
Received: 06.09.2010

Citation: V. A. Gushchin, P. V. Matyushin, “Numerical simulation and visualization of vortical structure transformation in the flow past a sphere at an increasing degree of stratification”, Zh. Vychisl. Mat. Mat. Fiz., 51:2 (2011), 268–281; Comput. Math. Math. Phys., 51:2 (2011), 251–263

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Matyushin P., Gushchin V., “Transformation of vortex structures in the wake of a sphere moving in the stratified fluid with decreasing of internal Froude number”, 13th European Turbulence Conference (ETC13): Vorticity Dynamics, J. Phys.: Conf. Ser., 318, 2011, 062017  crossref  isi  scopus
    2. Gushchin V.A. Matyushin P.V., “Mathematical modling of the 3D separated viscous fluid flows”, Application of Mathematics in Technical and Natural Sciences, AIP Conf. Proc., 1487, ed. Todorov M., Amer. Inst. Physics, 2012, 22–29  crossref  adsnasa  isi  scopus
    3. Gushchin V.A. Matyushin P.V., “Mathematical Modeling of the Incompressible Fluid Flows”, Applications of Mathematics in Engineering and Economics, AIP Conference Proceedings, 1631, ed. Venkov G. Pasheva V., Amer Inst Physics, 2014, 122–134  crossref  mathscinet  isi  scopus
    4. A. I. Sukhinov, D. S. Khachunts, A. E. Chistyakov, “A mathematical model of pollutant propagation in near-ground atmospheric layer of a coastal region and its software implementation”, Comput. Math. Math. Phys., 55:7 (2015), 1216–1231  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    5. Gushchin V.A., Matyushin P.V., “Classification of the Stratified Fluid Flows Regimes Around a Square Cylinder”, Application of Mathematics in Technical and Natural Sciences (Amitans'15), AIP Conference Proceedings, 1684, ed. Todorov M., Amer Inst Physics, 2015, 100002  crossref  isi  scopus
    6. Gushchin V.A., “on a Family of Monotone Finite-Difference Schemes of the Second Order of Approximation”, 41St International Conference Applications of Mathematics in Engineering and Economics (Amee'15), AIP Conference Proceedings, 1690, eds. Pasheva V., Popivanov N., Venkov G., Amer Inst Physics, 2015, 040021  crossref  isi  scopus
    7. Matyushin P.V., Gushchin V.A., “Direct Numerical Simulation of the Sea Flows Around Blunt Bodies”, 41St International Conference Applications of Mathematics in Engineering and Economics (Amee'15), AIP Conference Proceedings, 1690, eds. Pasheva V., Popivanov N., Venkov G., Amer Inst Physics, 2015, 030005  crossref  isi  scopus
    8. Gushchin V., Matyushin P., “the Theory and Applications of the Smif Method For Correct Mathematical Modeling of the Incompressible Fluid Flows”, Finite Difference Methods, Theory and Applications, Lecture Notes in Computer Science, 9045, eds. Dimov I., Farago I., Vulkov L., Springer-Verlag Berlin, 2015, 209–216  crossref  mathscinet  zmath  isi  scopus
    9. Valentin A. Gushchin, “On a one family of quasimonotone finite-difference schemes of the second order of approximation”, Math. Models Comput. Simul., 8:5 (2016), 487–496  mathnet  crossref  elib
    10. V. A. Gushchin, P. V. Matyushin, “Simulation and study of stratified flows around finite bodies”, Comput. Math. Math. Phys., 56:6 (2016), 1034–1047  mathnet  crossref  crossref  isi  elib
    11. A. I. Sukhinov, A. E. Chistyakov, A. A. Semenyakina, A. V. Nikitina, “Chislennoe modelirovanie ekologicheskogo sostoyaniya Azovskogo morya s primeneniem skhem povyshennogo poryadka tochnosti na mnogoprotsessornoi vychislitelnoi sisteme”, Kompyuternye issledovaniya i modelirovanie, 8:1 (2016), 151–168  mathnet  crossref
    12. P. V. Matyushin, “Evolyutsiya techeniya, indutsirovannogo diffuziei na diske, pogruzhennom v stratifitsirovannuyu vyazkuyu zhidkost”, Matem. modelirovanie, 30:11 (2018), 44–58  mathnet
    13. V. A. Guschin, V. G. Kondakov, “Obobschenie metoda KABARE na sluchai techenii neszhimaemoi zhidkosti pri nalichii svobodnoi poverkhnosti”, Matem. modelirovanie, 30:11 (2018), 75–90  mathnet
    14. V. A. Gushchin, A. V. Nikitina, A. A. Semenyakina, A. I. Sukhinov, A. E. Chistyakov, “A model of transport and transformation of biogenic elements in the coastal system and its numerical implementation”, Comput. Math. Math. Phys., 58:8 (2018), 1316–1333  mathnet  crossref  crossref  isi  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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