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Zh. Vychisl. Mat. Mat. Fiz., 1999, Volume 39, Number 1, Pages 163–176 (Mi zvmmf1760)  

This article is cited in 18 scientific papers (total in 18 papers)

A conservative method for solving the Boltzmann equation with centrally symmetric interaction potentials

S. P. Popov, F. G. Cheremisin

Dorodnitsyn Computing Centre of the Russian Academy of Sciences

Full text: PDF file (2269 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 1999, 39:1, 156–169

Bibliographic databases:
UDC: 519.6:536.78
MSC: Primary 82C40; Secondary 76P05, 35Q99
Received: 03.11.1997
Revised: 27.05.1998

Citation: S. P. Popov, F. G. Cheremisin, “A conservative method for solving the Boltzmann equation with centrally symmetric interaction potentials”, Zh. Vychisl. Mat. Mat. Fiz., 39:1 (1999), 163–176; Comput. Math. Math. Phys., 39:1 (1999), 156–169

Citation in format AMSBIB
\Bibitem{PopChe99}
\by S.~P.~Popov, F.~G.~Cheremisin
\paper A conservative method for solving the Boltzmann equation with centrally symmetric interaction potentials
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1999
\vol 39
\issue 1
\pages 163--176
\mathnet{http://mi.mathnet.ru/zvmmf1760}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1680449}
\zmath{https://zbmath.org/?q=an:0972.82070}
\transl
\jour Comput. Math. Math. Phys.
\yr 1999
\vol 39
\issue 1
\pages 156--169


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. S. P. Popov, F. G. Cheremisin, “Example of simultaneous numerical solution of the Boltzmann and Navier–Stokes equations”, Comput. Math. Math. Phys., 41:3 (2001), 457–468  mathnet  mathscinet  zmath
    2. Popov S.P., Cheremisin F.G., “Supersonic Rarefied Flow Past a Cascade of Transverse Flat Plates”, Fluid Dynamics, 37:3 (2002), 496–504  crossref  zmath  isi  scopus
    3. Beylich A.E., “Kinetics of thermalization in shock waves”, Physics of Fluids, 14:8 (2002), 2683–2699  crossref  mathscinet  adsnasa  isi  scopus
    4. I. N. Larina, V. A. Rykov, “Second-order accurate numerical method for solving Boltzmann's equation at low Knudsen numbers”, Comput. Math. Math. Phys., 42:4 (2002), 534–543  mathnet  mathscinet  zmath
    5. F. G. Cheremisin, “Solution to the Boltzmann kinetic equation for high-speed flows”, Comput. Math. Math. Phys., 46:2 (2006), 315–329  mathnet  crossref  mathscinet  zmath
    6. Shishkova I.N., Sazhin S.S., “A numerical algorithm for kinetic modelling of evaporation processes”, J Comput Phys, 218:2 (2006), 635–653  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    7. I. N. Larina, V. A. Rykov, “Models of a linearized Boltzmann collision integral”, Comput. Math. Math. Phys., 47:6 (2007), 983–997  mathnet  crossref
    8. Kolobov V.I., Arslanbekov R.R., Aristov V.V., Frolova A.A., Zabelok S.A., “Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement”, Journal of Computational Physics, 223:2 (2007), 589–608  crossref  zmath  adsnasa  isi  scopus
    9. Sazhin S.S., Shishkova I.N., Kryukov A.P., Levashov V.Yu., Heikal M.R., “Evaporation of droplets into a background gas: Kinetic modelling”, Int J Heat Mass Transfer, 50:13–14 (2007), 2675–2691  crossref  zmath  isi  elib  scopus
    10. Kloss Yu.Yu., Cheremisin F.G., Khokhlov N.I., Shurygin B.A., “Programming and modelling environment for studies of gas flows in micro- and nanostructures based on solving the Boltzmann equation”, Atomic Energy, 105:4 (2008), 270–279  crossref  isi  elib  scopus
    11. Morris A.B., Varghese P.L., Goldstein D.B., “Monte Carlo solution of the Boltzmann equation via a discrete velocity model”, J Comput Phys, 230:4 (2011), 1265–1280  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    12. Kolobov V.I., Arslanbekov R.R., “Towards adaptive kinetic-fluid simulations of weakly ionized plasmas”, J Comput Phys, 231:3 (2012), 839–869  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    13. Shishkova I.N., Sazhin S.S., Xie J.-F., “A Solution of the Boltzmann Equation in the Presence of Inelastic Collisions”, J. Comput. Phys., 232:1 (2013), 87–99  crossref  adsnasa  isi  elib  scopus
    14. O. I. Dodulad, F. G. Tcheremissine, “Computation of a shock wave structure in monatomic gas with accuracy control”, Comput. Math. Math. Phys., 53:6 (2013), 827–844  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    15. Arslanbekov R.R., Kolobov V.I., Frolova A.A., “Kinetic Solvers with Adaptive Mesh in Phase Space”, Phys. Rev. E, 88:6 (2013), 063301  crossref  adsnasa  isi  elib  scopus
    16. Mieussens L., “A Survey of Deterministic Solvers For Rarefied Flows”, Proceedings of the 29th International Symposium on Rarefied Gas Dynamics, AIP Conference Proceedings, 1628, ed. Fan J., Amer Inst Physics, 2014, 943–951  crossref  adsnasa  isi
    17. G. V. Krivovichev, “Modifitsirovannyi variant metoda reshetochnykh uravnenii Boltsmana dlya rascheta techenii vyazkoi neszhimaemoi zhidkosti”, Kompyuternye issledovaniya i modelirovanie, 6:3 (2014), 365–381  mathnet  crossref
    18. Timokhin M.Yu. Bondar Y.A. Kokhanchik A.A. Ivanov M.S. Ivanov I.E. Kryukov I.A., “Study of the Shock Wave Structure By Regularized Grad'S Set of Equations”, Phys. Fluids, 27:3 (2015), 037101  crossref  isi  elib  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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