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Keldysh Institute preprints, 2012, 040 (Mi ipmp58)  

This article is cited in 5 scientific papers (total in 5 papers)

Possible thermodynamic model for the usage in the schematics of DNS for two-phase flows

Yu. G. Rykov, N. A. Zaitsev, V. V. Kabanov, V. G. Lysov, R. F. Khabibullin


Abstract: In the preprint specific thermodynamic model is formulated which describes phase transitions in two-phase systems and allows the incorporation into gas dynamic numerical calculations. Namely, on the example of Van der Waals equation of state the dependencies of the pressure and the temperature on density and internal energy are defined. At this in the range of densities and energies where the phase transition occurs the special approximation is applied. This approximation can take into account non-equilibrium processes. Further one solves 1D Euler equations with RHS and with the equation of state which is described by the above thermodynamics. The feasibility of such model is demonstrated. Further development proposes taking into account the heat conduction, multidimensional realization and the usage of DNS method for two-phase systems, including phase transitions, at multiprocessor supercomputers. The refinement of thermodynamic model is also anticipated.

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Document Type: Preprint

Citation: Yu. G. Rykov, N. A. Zaitsev, V. V. Kabanov, V. G. Lysov, R. F. Khabibullin, “Possible thermodynamic model for the usage in the schematics of DNS for two-phase flows”, Keldysh Institute preprints, 2012, 040, 18 pp.

Citation in format AMSBIB
\Bibitem{RykZaiKab12}
\by Yu.~G.~Rykov, N.~A.~Zaitsev, V.~V.~Kabanov, V.~G.~Lysov, R.~F.~Khabibullin
\paper Possible thermodynamic model for the usage in the schematics of DNS for two-phase flows
\jour Keldysh Institute preprints
\yr 2012
\papernumber 040
\totalpages 18
\mathnet{http://mi.mathnet.ru/ipmp58}


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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. N. A. Zaitsev, B. V. Kritskii, Yu. G. Rykov, “Ob odnoi dvumernoi modeli rascheta dvukhfaznykh potokov”, Preprinty IPM im. M. V. Keldysha, 2014, 086, 32 pp.  mathnet
    2. V. G. Lysov, Yu. G. Rykov, “O vychislenii fazovogo ravnovesiya v zadachakh mnogokomponentnoi filtratsii”, Preprinty IPM im. M. V. Keldysha, 2014, 094, 20 pp.  mathnet
    3. N. A. Zaitsev, B. V. Kritskii, “Dvumernaya odnoskorostnaya model dlya rascheta dvukhfaznykh techenii realnoi vody s uchetom effektov poverkhnostnogo natyazheniya”, Preprinty IPM im. M. V. Keldysha, 2016, 026, 24 pp.  mathnet
    4. N. A. Zaitsev, B. V. Kritskii, “Ob odnoi trekhmernoi modeli s diffuznym interfeisom dlya rascheta dvukhfaznykh techenii realnoi vody”, Preprinty IPM im. M. V. Keldysha, 2016, 117, 20 pp.  mathnet  crossref
    5. N. A. Zaitsev, B. V. Kritskii, “Odnoskorostnaya model dvukhfaznykh zhidkostei dlya rascheta techenii iz pervykh printsipov”, Matem. modelirovanie, 29:2 (2017), 91–105  mathnet  elib
  • Препринты Института прикладной математики им. М. В. Келдыша РАН
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