General information
Latest issue
Impact factor

Search papers
Search references

Latest issue
Current issues
Archive issues
What is RSS

Zh. Vychisl. Mat. Mat. Fiz.:

Personal entry:
Save password
Forgotten password?

Zh. Vychisl. Mat. Mat. Fiz., 1987, Volume 27, Number 4, Pages 594–609 (Mi zvmmf3846)  

This article is cited in 49 scientific papers (total in 50 papers)

The splitting method for investigating flows of a stratified liquid with a free surface

O. M. Belotserkovskii, V. A. Gushchin, V. N. Konshin


Full text: PDF file (1916 kB)

English version:
USSR Computational Mathematics and Mathematical Physics, 1987, 27:2, 181–191

Bibliographic databases:

UDC: 519.6:532.5
MSC: 76V05
Received: 28.02.1986

Citation: O. M. Belotserkovskii, V. A. Gushchin, V. N. Konshin, “The splitting method for investigating flows of a stratified liquid with a free surface”, Zh. Vychisl. Mat. Mat. Fiz., 27:4 (1987), 594–609; U.S.S.R. Comput. Math. Math. Phys., 27:2 (1987), 181–191

Citation in format AMSBIB
\by O.~M.~Belotserkovskii, V.~A.~Gushchin, V.~N.~Konshin
\paper The splitting method for investigating flows of a stratified liquid with a free surface
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1987
\vol 27
\issue 4
\pages 594--609
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1987
\vol 27
\issue 2
\pages 181--191

Linking options:

    SHARE: FaceBook Twitter Livejournal

    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. V. A. Gushchin, A. N. Kopysov, “The dynamics of a spherical mixing zone in a stratified fluid and its acoustic radiation”, U.S.S.R. Comput. Math. Math. Phys., 31:6 (1991), 51–60  mathnet  mathscinet  zmath  isi
    2. V. A. Gushchin, P. V. Matyushin, “Numerical simulation of separated flow past a sphere”, Comput. Math. Math. Phys., 37:9 (1997), 1086–1100  mathnet  mathscinet  zmath
    3. S. A. Ivanenko, “Simulation of water flow driven by a large free-surface elevation head”, Comput. Math. Math. Phys., 40:10 (2000), 1509–1521  mathnet  mathscinet  zmath
    4. O. M. Belotserkovskii, A. M. Oparin, “A numerical study of three-dimensional Rayleigh–Taylor instability development”, Comput. Math. Math. Phys., 40:7 (2000), 1054–1059  mathnet  mathscinet  zmath
    5. O. M. Belotserkovskii, L. M. Kraginskii, A. M. Oparin, “The numerical simulation of three-dimensional flows in a stratified atmosphere caused by strong large-scale disturbances”, Comput. Math. Math. Phys., 43:11 (2003), 1657–1670  mathnet  mathscinet  zmath
    6. Belotserkovskii O.M., “Mathematical modeling using supercomputers with parallel architecture”, Parallel Computational Fluid Dynamics: Advanced Numerical Methods Software and Applications, 2004, 1–17  isi
    7. Baydulov V.G., Matyushin P.V., Chashechkin Y.D., “Structure of a diffusion-induced flow near a sphere in a continuously stratified fluid”, Doklady Physics, 50:4 (2005), 195–199  crossref  isi  elib
    8. V. A. Guschin, P. V. Matyushin, “Matematicheskoe modelirovanie prostranstvennykh techenii neszhimaemoi zhidkosti”, Matem. modelirovanie, 18:5 (2006), 5–20  mathnet  zmath
    9. M. Yu. Zaslavsky, D. Yu. Maksimov, A. Kh. Pergament, “Thermodynamically conditioned splitting schemes in combustion problems”, Comput. Math. Math. Phys., 46:10 (2006), 1753–1767  mathnet  crossref  mathscinet
    10. A. S. Kholodov, Ya. A. Kholodov, “Monotonicity criteria for difference schemes designed for hyperbolic equations”, Comput. Math. Math. Phys., 46:9 (2006), 1560–1588  mathnet  crossref  mathscinet  elib  elib
    11. M. K. Kerimov, L. I. Turchak, A. S. Kholodov, “On the 80th birthday of Academician Oleg Mikhailovich Belotserkovskii”, Comput. Math. Math. Phys., 46:8 (2006), 1277–1282  mathnet  crossref  mathscinet
    12. Gushchin V.A., Matyushin R.V., “Vortex Formation Mechanisms in the Wake Behind a Sphere for 200 < Re < 380”, Fluid Dynamics, 41:5 (2006), 795–809  crossref  zmath  isi  elib
    13. Baidulov V.G., Matyushin P.V., Chashechkin Yu.D., “Evolution of the Diffusion-Induced Flow Over a Sphere Submerged in a Continuously Stratified Fluid”, Fluid Dynamics, 42:2 (2007), 255–267  crossref  mathscinet  isi  elib
    14. S. A. Kozlov, A. M. Oparin, V. M. Chechetkin, “Numerical simulation of the process of formation of shock waves in electron gas in a field-effect transistor”, Comput. Math. Math. Phys., 49:12 (2009), 2149–2157  mathnet  crossref  isi
    15. Belotserkovskii O.M., Mingalev I.V., Mingalev V.S., Mingalev O.V., Oparin A.M., Chechetkin V.M., “Formation of large-scale vortices in shear flows of the lower atmosphere of the earth in the region of tropical latitudes”, Cosmic Research, 47:6 (2009), 466–479  crossref  isi  elib
    16. V. S. Mingalev, I. V. Mingalev, O. V. Mingalev, A. M. Oparin, K. G. Orlov, “Generalization of the hybrid monotone second-order finite difference scheme for gas dynamics equations to the case of unstructured 3D grid”, Comput. Math. Math. Phys., 50:5 (2010), 877–889  mathnet  crossref  adsnasa  isi
    17. O. M. Belotserkovskiǐ, S. V. Fortova, “Macroparameters of three-dimensional flows in free shear turbulence”, Comput. Math. Math. Phys., 50:6 (2010), 1071–1084  mathnet  crossref  mathscinet  adsnasa  isi
    18. Belotserkovskii O.M., “Supercomputers and the mathematical modeling of high complexity problems”, Phys Scripta, T142 (2010), 014057  crossref  isi
    19. 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”, Comput. Math. Math. Phys., 51:2 (2011), 251–263  mathnet  crossref  mathscinet  isi
    20. N. Ya. Moiseev, “High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion”, Comput. Math. Math. Phys., 51:4 (2011), 676–687  mathnet  crossref  mathscinet  isi  elib
    21. Guschin V.A., Rozhdestvenskaya T.I., “Chislennoe issledovanie yavlenii, voznikayuschikh vblizi krugovogo tsilindra v techeniyakh stratifitsirovannykh zhidkostei s nebolshimi periodami plavuchesti”, Prikladnaya mekhanika i tekhnicheskaya fizika, 52:6 (2011), 69–76  elib
    22. Dyuzhev N.A., Makhiboroda M.A., “Matematicheskoe modelirovanie teplovykh protsessov, soprovozhdayuschikh avtoelektronnuyu emissiyu iz nanorazmernogo ostriya”, Izvestiya vysshikh uchebnykh zavedenii. Elektronika, 2011, no. 88, 22–26  elib
    23. O. M. Belotserkovskii, S. V. Fortova, “Study of spectral characteristics of a homogeneous turbulent flow”, Comput. Math. Math. Phys., 52:2 (2012), 285–291  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    24. Belotserkovskii O.M., Fortova S.V., “Investigation of the Cascade Mechanism of Turbulence Development in Free Shear Flow”, Dokl. Phys., 57:3 (2012), 110–113  crossref  isi  elib
    25. Gushchin V.A., Matyushin P.V., “Mathematical Modling of the 3D Separated Viscous Fluid Flows”, Application of Mathematics in Technical and Natural Sciences, AIP Conference Proceedings, 1487, ed. Todorov M., Amer Inst Physics, 2012, 22–29  crossref  isi
    26. Belotserkovskii O.M., Fortova S.V., “Issledovanie kaskadnogo mekhanizma razvitiya turbulentnosti v svobodno-sdvigovom techenii”, Doklady Akademii nauk, 443:1 (2012), 44–44  elib
    27. S. V. Fortova, L. M. Kraginskii, A. V. Chikitkin, E. I. Oparina, “The software package for the solution of the equations of hyperbolic type”, Math. Models Comput. Simul., 5:6 (2013), 607–616  mathnet  crossref  mathscinet  elib
    28. S. V. Fortova, “Numerical simulation of the three-dimensional Kolmogorov flow in a shear layer”, Comput. Math. Math. Phys., 53:3 (2013), 311–319  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    29. S. V. Fortova, “Eddy cascade of instabilities and transition to turbulence”, Comput. Math. Math. Phys., 54:3 (2014), 553–560  mathnet  crossref  crossref  isi  elib  elib
    30. I. B. Abbasov, “Three-dimensional simulation of the runup of nonlinear surface gravity waves”, Comput. Math. Math. Phys., 54:5 (2014), 871–886  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    31. Gushchin V.A., Matyushin P.V., “Mathematical Modeling of the Incompressible Fluid Flows”, Applications of Mathematics in Engineering and Economics, AIP Conference Proceedings, 1631, eds. Venkov G., Pasheva V., Amer Inst Physics, 2014, 122–134  crossref  mathscinet  isi
    32. Fortova S.V., “Numerical Simulation of Turbulence Flows in Shear Layer”, Arch. Metall. Mater., 59:3 (2014), 1155–1158  crossref  mathscinet  isi  elib
    33. S. V. Fortova, “Comparative analysis of eddy cascade formation in various turbulent problems”, Comput. Math. Math. Phys., 55:2 (2015), 298–304  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    34. A. N. Doludenko, S. V. Fortova, “Numerical simulation of Rayleigh–Taylor instability in inviscid and viscous media”, Comput. Math. Math. Phys., 55:5 (2015), 874–882  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    35. 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
    36. Fortova S.V. Pronina A.P., “Influence of Artificial Viscosity on the Formation of Vortex Cascades in the Shear Layer”, Xxx International Conference on Interaction of Intense Energy Fluxes With Matter (Elbrus 2015), Journal of Physics Conference Series, 653, IOP Publishing Ltd, 2015, 012104  crossref  isi
    37. 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, ed. Pasheva V. Popivanov N. Venkov G., Amer Inst Physics, 2015, 040021  crossref  isi
    38. 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, ed. Pasheva V. Popivanov N. Venkov G., Amer Inst Physics, 2015, 030005  crossref  isi
    39. 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, ed. Dimov I. Farago I. Vulkov L., Springer-Verlag Berlin, 2015, 209–216  crossref  mathscinet  zmath  isi
    40. 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
    41. M. S. Belotserkovskaya, A. P. Pronina, S. V. Fortova, V. V. Shepelev, “Application of the program package TURBO problem solver for some fluid dynamics problems”, Comput. Math. Math. Phys., 56:6 (2016), 1162–1173  mathnet  crossref  crossref  isi  elib
    42. 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
    43. P. V. Matyushin, “Evolyutsiya techeniya, indutsirovannogo diffuziei na diske, pogruzhennom v stratifitsirovannuyu vyazkuyu zhidkost”, Matem. modelirovanie, 30:11 (2018), 44–58  mathnet
    44. 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
    45. I. V. Mingalev, O. V. Mingalev, O. I. Akhmetov, Z. V. Suvorova, “Yavnaya skhema rasschepleniya dlya uravnenii Maksvella”, Matem. modelirovanie, 30:12 (2018), 17–38  mathnet
    46. A. I. Sukhinov, A. E. Chistyakov, “Raznostnaya skhema KABARE s uluchshennymi dispersionnymi svoistvami”, Matem. modelirovanie, 31:3 (2019), 83–96  mathnet  crossref  elib
    47. Doludenko A.N. Fortova V S. Shepelev V.V. Son E.E., “Numerical Simulation of the Rayleigh-Taylor Instability of Inviscid and Viscous Fluid”, Phys. Scr., 94:9 (2019), 094003  crossref  isi
    48. Matyushin P.V., “Process of the Formation of Internal Waves Initiated By the Start of Motion of a Body in a Stratified Viscous Fluid”, Fluid Dyn., 54:3 (2019), 374–388  crossref  isi
    49. A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, V. V. Sidoryakina, S. V. Protsenko, “Metod ucheta zapolnennosti yacheek dlya resheniya zadach gidrodinamiki so slozhnoi geometriei raschetnoi oblasti”, Matem. modelirovanie, 31:8 (2019), 79–100  mathnet  crossref  elib
    50. A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, V. V. Sidoryakina, S. V. Protsenko, “Kompleks ob'edinennykh modelei transporta nanosov i vzvesei s uchetom trekhmernykh gidrodinamicheskikh protsessov v pribrezhnoi zone”, Matem. modelirovanie, 32:2 (2020), 3–23  mathnet  crossref
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Number of views:
    This page:404
    Full text:200
    First page:1

    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020