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Matematicheskoe modelirovanie, 2006, Volume 18, Number 5, Pages 5–20 (Mi mm65)  

This article is cited in 8 scientific papers (total in 8 papers)

Mathematical modelling of the 3D incompressible fluid flows

V. A. Gushchin, P. V. Matyushin

Institute for Computer Aided Design of RAS
References:
Abstract: For the direct numerical simulation of the 3D viscous incompressible fluid flows the Splitting on physical factors Method for Incompressible Fluid flows (SMIF-MERANGE) with hybrid explicit finite difference scheme (second-order accuracy in space, minimum scheme viscosity and dispersion, monotonous) has been used. The applications of the method SMIF-MERANGE for the simulation of the 3D external and internal flows of the viscous incompressible fluid are demonstrated. The detailed formation mechanisms of vortex loops in the sphere wake for the different homogeneous fluid flow regimes are discussed (in the wide range of Reynolds numbers 270<Re<106). Some examples of the stratified fluid flows around a sphere are considered (for the following ranges of the internal Froude and Reynolds numbers: 0.005<Fr<1, 50<Re<1000). Some example of the simulation of the air flows in a clean room (CR) is demonstrated.
Received: 03.10.2005
Bibliographic databases:
Language: Russian
Citation: V. A. Gushchin, P. V. Matyushin, “Mathematical modelling of the 3D incompressible fluid flows”, Mat. Model., 18:5 (2006), 5–20
Citation in format AMSBIB
\Bibitem{GusMat06}
\by V.~A.~Gushchin, P.~V.~Matyushin
\paper Mathematical modelling of the 3D incompressible fluid flows
\jour Mat. Model.
\yr 2006
\vol 18
\issue 5
\pages 5--20
\mathnet{http://mi.mathnet.ru/mm65}
\zmath{https://zbmath.org/?q=an:1121.76043}
Linking options:
  • https://www.mathnet.ru/eng/mm65
  • https://www.mathnet.ru/eng/mm/v18/i5/p5
  • This publication is cited in the following 8 articles:
    1. Chernykh G.G., Fomina A.V., Moshkin N.P., “Numerical Simulation of Dynamics of Weakly Heated Turbulent Mixing Zone in Linearly Stratified Medium”, J. Eng. Thermophys., 29:4 (2020), 674–685  crossref  isi
    2. P. V. Matyushin, “Evolution of the diffusion-induced flow over a disk, submerged in a stratified viscous fluid”, Math. Models Comput. Simul., 11:3 (2019), 479–487  mathnet  crossref
    3. 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
    4. Lamtyugova S.N., Sidorov M.V., “Numerical Analysis of the External Slow Flows of a Viscous Fluid Using the R-Function Method”, J. Eng. Math., 91:1 (2015), 59–79  crossref  mathscinet  isi  elib  scopus
    5. Evgeny V. Vetchanin, Ivan S. Mamaev, Valentin A. Tenenev, “The Self-propulsion of a Body with Moving Internal Masses in a Viscous Fluid”, Regul. Chaotic Dyn., 18:1-2 (2013), 100–117  mathnet  crossref  mathscinet  zmath
    6. E. Vetchanin, I. S. Mamaev, V. A. Tenenev, “Dvizhenie tela s peremennoi geometriei mass v vyazkoi zhidkosti”, Nelineinaya dinam., 8:4 (2012), 815–836  mathnet
    7. Zakharov Yu.N., Ivanov K.S., “Ob ispolzovanii gradientnykh iteratsionnykh metodov pri reshenii nachalno-kraevykh zadach dlya trekhmernoi sistemy uravnenii nave - stoksa”, Vychislitelnye tekhnologii, 16:2 (2011), 55–69  zmath  elib
    8. 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
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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