The divergent form of the equations of a generalized equilibrium model of a multicomponent mixture, in which the interfraction-interaction forces are taken into account, is discussed. The modified Godunov method developed for integration of model equations is described. A number of one-dimensional and two-dimensional problems were calculated with the use of this method.
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References
G. Allaire, S. Clerc, and S. Kokh, A five-equation model for the simulation of interfaces between compressible fluids, J. Comput. Phys., 181, 577–616 (2002).
S. Schoch, N. Nikiforakis, B. J. Lee, and R. Saurel, Multi-phase simulation of ammonium nitrate emulsion detonations, Combust. Flame, 160, 1883–1899 (2013).
J. J. Kreeft and B. Koren, A new formulation of Kapila′s fi ve-equation model for compressible two-fluid flow, and its numerical treatment, J. Comput. Phys., 229, 6220–6242 (2010).
V. S. Surov, On equations of a one-velocity heterogeneous medium, J. Eng. Phys. Thermophys., 82, No. 1, 75–84 (2009).
S. K. Godunov, A. V. Zabrodin, M. Ya. Ivanov, A. N. Kraiko, and G. P Prokopov, Numerical Solution of Multidimensional Problems of Gas Dynamics [in Russian], Nauka, Moscow (1976).
V. S. Surov, The Riemann problem for a one-velocity model of a multicomponent mixture, Teplofi z. Vys. Temp., 47, No. 2, 283–291 (2009).
V. S. Surov, On a method of approximate solution of the Riemann problem for a one-velocity flow of a multicomponent mixture, J. Eng. Phys. Thermophys., 83, No. 2, 373–379 (2010).
E. F. Toro, Riemann solvers with evolved initial condition, Int. J. Numer. Methods Fluids, 52, 433–453 (2006).
V. S. Surov, On location of contact surface in multifluid hydrodynamics, J. Eng. Phys. Thermophys., 83, No. 3, 560–571 (2010).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 88, No. 5, pp. 1208–1214, September–October, 2015.
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Surov, V.S., Berezanskii, I.V. About the Divergent form of Equations for a One-Velocity Multicomponent Mixture. J Eng Phys Thermophy 88, 1248–1255 (2015). https://doi.org/10.1007/s10891-015-1306-3
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DOI: https://doi.org/10.1007/s10891-015-1306-3