Within the framework of a generalized equilibrium model of a multicomponent mixture in which the forces of interfractional interaction are taken account of, the problem of localization of contact surfaces is solved in Euler variables with the nodal method of characteristics.
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J. Glimm, J. Grove, X. Li, and D. Tan, Robust computational algorithms for dynamic interface tracking in three dimensions, SIAM J. Sci. Comput., 21, No. 6, 2240–2276 (2000).
V. S. Surov, Interaction of shock waves with droplets of a bubble liquid, Zh. Tekh. Fiz., 71, No. 6, 17–22 (2001).
R. Scardovelli and S. Zaleski, Direct numerical simulation of free-surface and interfacial flow, Annu. Rev. Fluid Mech., 31, 567–598 (1999).
S. Osher and R. P. Fedkiw, A level set method: An overview and some recent results, J. Comput. Phys., 169, 463–502 (2001).
S. M. Bakhrakh, Yu. P. Glagoleva, M. S. Samigulin, et al., Calculation of gas-dynamical flows on the basis of the concentration method, Dokl. Ross. Akad. Nauk, 257, No. 3, 566–569 (1981).
Yu. A. Bondarenko and Yu. V. Yanilkin, Calculation of thermodynamic parameters of mixed cells in gas dynamics, Mat. Model., 15, No. 6, 63–81 (2002).
R. Abgrall and S. Karni, Computations of compressible multifluids, J. Comput. Phys., 169, 594–623 (2001).
Keh-Ming Shyue, A fluid-mixture type algorithm for compressible multicomponent flow with van der Waals equation of state, J. Comput. Phys., 156, 43–88 (1999).
Keh-Ming Shyue, A fluid-mixture type algorithm for compressible multicomponent flow with Mie–Gruneisen equation of state, J. Comput. Phys., 171, 678–707 (2001).
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).
A. Murrone and H. Guillard, A five-equation reduced model for compressible two phase flow problems, J. Comput. Phys., 202, 664–698 (2005).
V. S. Surov, One-velocity model of a heterogeneous medium with hyperbolic adiabatic core, Zh. Vychisl. Mat. Mat. Fiz., 48, No. 6, 1111–1125 (2008).
V. S. Surov, On location of contact surfaces in multifluid hydrodynamics, Inzh.-Fiz. Zh., 83, No. 3, 518–527 (2010).
V. S. Surov, On a variant of the method of characteristics for calculating one-velocity flows of a Multicomponent Mixture, Inzh.-Fiz. Zh., 83, No. 2, 345–350 (2010).
V. S. Surov and E. N. Stepanenko, Grid method of characteristics for calculating flows of a one-velocity multicomponent heat-conducting medium, Vestn. Chelyabinsk. Gos. Univ., Ser. Fiz., Issue 8, No. 24 (205), 15–22 (2010).
S. Kokh and Lagoutiere, An anti-diffusive numerical scheme for the simulation of interfaces between compressible fluids by means of a five-equation model, J. Comput. Phys., 229, 2773–2800 (2010).
A. G. Kulikovskii, N. V. Pogorelov, and A. Yu. Semenov, Mathematical Problems of Numerical Solution of Hyperbolic Systems of Equations [in Russian], 2nd enlarged and revised edn., FIZMATLIT, Moscow (2012).
V. S. Surov, Self-similar running waves in multicomponent Viscous Heat-Conducting Media, Inzh.-Fiz. Zh., 86, No. 3, 557–566 (2013).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 86, No. 5, pp. 1080–1087, September–October, 2013.
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Surov, V.S. Nodal method of characteristics in multifluid hydrodynamics. J Eng Phys Thermophy 86, 1151–1159 (2013). https://doi.org/10.1007/s10891-013-0937-5
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DOI: https://doi.org/10.1007/s10891-013-0937-5