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Zh. Vychisl. Mat. Mat. Fiz., 2001, Volume 41, Number 2, Pages 239–255 (Mi zvmmf1379)  

This article is cited in 32 scientific papers (total in 32 papers)

Theoretical and numerical analysis of quasi-gasdynamic and quasi-hydrodynamic equations

T. G. Elizarovaa, Yu. V. Sheretovb

a Institute for Mathematical Modelling, Russian Academy of Sciences, Moscow
b Tver State University

Full text: PDF file (2690 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2001, 41:2, 219–234

Bibliographic databases:
UDC: 517.958:531.742
MSC: Primary 76D05; Secondary 76N15, 76M20
Received: 30.12.1998
Revised: 04.07.2000

Citation: T. G. Elizarova, Yu. V. Sheretov, “Theoretical and numerical analysis of quasi-gasdynamic and quasi-hydrodynamic equations”, Zh. Vychisl. Mat. Mat. Fiz., 41:2 (2001), 239–255; Comput. Math. Math. Phys., 41:2 (2001), 219–234

Citation in format AMSBIB
\Bibitem{EliShe01}
\by T.~G.~Elizarova, Yu.~V.~Sheretov
\paper Theoretical and numerical analysis of quasi-gasdynamic and quasi-hydrodynamic equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2001
\vol 41
\issue 2
\pages 239--255
\mathnet{http://mi.mathnet.ru/zvmmf1379}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1832236}
\zmath{https://zbmath.org/?q=an:1101.76319}
\transl
\jour Comput. Math. Math. Phys.
\yr 2001
\vol 41
\issue 2
\pages 219--234


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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. I. A. Graur, “Method of quasi-gasdynamic splitting for solving the Euler equations”, Comput. Math. Math. Phys., 41:10 (2001), 1506–1518  mathnet  mathscinet  zmath
    2. I. A. Graur, T. G. Elizarova, T. A. Kudryashova, S. V. Polyakov, “Chislennoe issledovanie struinykh techenii s ispolzovaniem mnogoprotsessornykh sistem”, Matem. modelirovanie, 14:6 (2002), 51–62  mathnet  zmath
    3. Chirokov I.A., Elizarova T.G., Gibek I., Lengrand J.C., “Numerical and experimental investigation of interacting plumes”, 4th European Symposium on Aerothermodynamics for Space Vehicles, Proceedings, Esa Special Publications, 487, 2002, 381–388  adsnasa  isi
    4. T. G. Elizarova, O. Yu. Milyukova, “Numerical modeling of the flow of a viscous incompressible fluid in a cubic cavity”, Comput. Math. Math. Phys., 43:3 (2003), 433–445  mathnet  mathscinet  zmath
    5. Shirokov I.A., “Solving Poisson's equation on a multiprocessor system in problems of incompressible fluid flow simulation”, Differ Equ, 39:7 (2003), 1050–1057  mathnet  crossref  mathscinet  zmath  isi  scopus
    6. Chirokov I.A., Elizarova T.G., Lengrand J.C., Gibek I., Graur I.A., “Experimental and numerical investigation of rarefied interacting plumes”, Rarefied Gas Dynamics, AIP Conference Proceedings, 663, 2003, 572–579  crossref  adsnasa  isi
    7. I. A. Graur, “Splitting finite difference schemes for Euler equations based on quasi-gas dynamics equations”, Comput. Math. Math. Phys., 44:1 (2004), 155–166  mathnet  mathscinet  zmath
    8. Colin S., Baldas L., “Rarefaction effects in gaseous microflows”, Comptes Rendus Physique, 5:5 (2004), 521–530  crossref  adsnasa  isi  scopus
    9. T. G. Elizarova, M. E. Sokolova, Yu. V. Sheretov, “Quasi-gasdynamic equations and numerical simulation of viscous gas flows”, Comput. Math. Math. Phys., 45:3 (2005), 524–534  mathnet  mathscinet  zmath
    10. Colin S., “Rarefaction and compressibility effects on steady and transient gas flows in microchannels”, Microfluidics and Nanofluidics, 1:3 (2005), 268–279  crossref  adsnasa  isi  scopus
    11. Chpoun A., Elizarova T.G., Graur I.A., Lengrand J.C., “Simulation of the rarefied gas flow around a perpendicular disk”, Eur J Mech B Fluids, 24:4 (2005), 457–467  crossref  zmath  adsnasa  isi  elib  scopus
    12. Shen Ch., “A strict kinetic solution of the finite length microchannel flow problem”, ICMM 2005, Proceedings of the 3rd International Conference on Microchannels and Minichannels, 2005, 369–374  crossref  isi
    13. Graur I.A., Meolans J.G., Zeitoun D.E., “Gaseous flows in microchannels”, Rarefied Gas Dynamics, AIP Conference Proceedings, 762, 2005, 755–760  crossref  adsnasa  isi  scopus
    14. Elizarova T.G., Shirokov I.A., Montero S., “Shock wave structure for argon, helium, and nitrogen”, Rarefied Gas Dynamics, AIP Conference Proceedings, 762, 2005, 1253–1258  crossref  adsnasa  isi  elib  scopus
    15. Graur I.A., Kudryashova T.A., Polyakov S.V., “Modeling of flow for radiative transport problems”, Parallel Computational Fluid Dynamics: Multidisciplinary Applications, 2005, 239–245  isi
    16. Graur I.A., Meolans J.G., Zeitoun D.E., “Analytical and numerical description for isothermal gas flows in microchannels”, Microfluidics and Nanofluidics, 2:1 (2006), 64–77  crossref  isi  scopus
    17. Perrier P., Ewart T., Meolans J.G., Graur I.A., “Mass flow rate measurements in nitrogen flows”, Proceedings of the 4th International Conference on Nanochannels, Microchannnels, and Minichannels, 2006, 427–437  crossref  isi
    18. V. A. Kaminskii, N. Yu. Obvintseva, I. S. Kalachinskaya, V. V. Dilman, “Modelirovanie konvektsii Releya v nestatsionarnom protsesse ispareniya”, Matem. modelirovanie, 19:11 (2007), 3–10  mathnet  zmath
    19. Elizarova T.G., Zherikov A.V., Kalachinskaya I.S., “Numerical solution of quasihydrodynamic equations in a domain of complex shape”, Differ Equ, 43:9 (2007), 1287–1294  crossref  mathscinet  zmath  isi  elib  scopus
    20. Elizarova T.G., Khokhlov A.A., Sheretov Yu.V., “Quasi-gasdynamic numerical algorithm for gas flow simulations”, International Journal For Numerical Methods in Fluids, 56:8 (2008), 1209–1215  crossref  mathscinet  zmath  adsnasa  isi  scopus
    21. Elizarova T.G., Trofimov V.A., Shirokov I.A., “Computer simulation of perturbation of a shock wave in nitrogen by optical radiation”, Technical Physics, 53:4 (2008), 408–414  crossref  adsnasa  isi  elib  scopus
    22. Kuzyakov Yu.Ya., Trofimov V.A., Shirokov I.A., “Computer simulation of graphite target ablation under the action of a nanosecond laser pulse”, Technical Physics, 53:2 (2008), 154–159  crossref  adsnasa  isi  elib
    23. Elizarova T.G., Nikolskii P.N., Lengrand J.C., “A new variant of subgrid dissipation for LES method and simulation of laminar-turbulent transition in subsonic gas flows”, Advances in Hybrid Rans-Les Modelling, 2008, 289–298  crossref  mathscinet  isi  scopus
    24. Belevich M., “On the continuity equation”, Journal of Physics A-Mathematical and Theoretical, 42:37 (2009), 375502  crossref  mathscinet  zmath  isi  scopus
    25. Trofimov V.A., Shirokov I.A., “Computer simulation of expansion of a carbon laser plasma after ablation in nitrogen atmosphere”, Technical Physics, 54:7 (2009), 974–980  crossref  adsnasa  isi  elib  scopus
    26. T. G. Elizarova, A. V. Zherikov, I. S. Kalachinskaya, “Chislennoe reshenie kvazigidrodinamicheskikh uravnenii na nestrukturirovannykh treugolnykh setkakh”, Kompyuternye issledovaniya i modelirovanie, 1:2 (2009), 181–188  mathnet  crossref
    27. Michoski C., Evans J.A., Schmitz P.G., Vasseur A., “A discontinuous Galerkin method for viscous compressible multifluids”, J Comput Phys, 229:6 (2010), 2249–2266  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    28. Brenner H., “Fluid Mechanics in Fluids at Rest”, Phys. Rev. E, 86:1, Part 2 (2012), 016307  crossref  adsnasa  isi  elib  scopus
    29. Popov M.V. Elizarova T.G., “Smoothed Mhd Equations For Numerical Simulations of Ideal Quasi-Neutral Gas Dynamic Flows”, Comput. Phys. Commun., 196 (2015), 348–361  crossref  zmath  isi  elib  scopus
    30. Kraposhin M.V. Smirnova E.V. Elizarova T.G. Istomina M.A., “Development of a New Openfoam Solver Using Regularized Gas Dynamic Equations”, Comput. Fluids, 166 (2018), 163–175  crossref  mathscinet  zmath  isi  scopus
    31. Ryazanov D.A., Kraposhin M.V., Elizarova T.G., Sibgatullin I.N., Kalugin M.D., Velikhov V.E., Ryabinkin E.A., “Openfoam High Performance Computing Solver For Simulation of Internal Wave Attractors in Stratified Flows Using Regularized Hydrodynamic Equations”, 2018 Ivannikov Ispras Open Conference (Ispras), IEEE, 2018, 122–128  crossref  isi
    32. Belevich M., “On Physical Limitations of Mathematical Constructions Used in Mathematical Models”, Pramana-J. Phys., 93:3 (2019), 33  crossref  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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