Geodesic
Hyperbolic models in the mechanics of heterogeneous media
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 1, pp. 139-148 Cet article a éte moissonné depuis la source Math-Net.Ru

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Several hyperbolic models of a multivelocity heterogeneous medium are discussed. It is shown that the medium model with a gasdynamic kernel well describes the qualitative and quantitative behavior of gas-liquid mixtures in the entire range of gas concentrations. Combined with the nodal method of characteristics, this model is used to compute a number of Riemann problems in a dispersion medium. 
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V. S. Surov. Hyperbolic models in the mechanics of heterogeneous media. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 1, pp. 139-148. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_1_a11/

[1] Stewart H., Wendroff B., “Two-phase flow: Models and methods”, J. Comput. Phys., 56 (1984), 363–409 | DOI | MR | Zbl

[2] Baer M., Nunziato J., “A two-phase mixture theory for deflagration-to-detonation transition (DDT) in reactive granular materials”, Int. J. Multiphase Flow, 12 (1986), 861–889 | DOI | Zbl

[3] Romenski E., Toro E. F., “Hyperbolicity and one-dimensional waves in compressible two-phase flow model”, Shock Waves, 13 (2004), 473–487 | DOI | Zbl

[4] Gavrilyuk S., Saurel R., “Mathematical and numerical modeling of two-phase compressible flows with micro-inertia”, J. Comput. Phys., 175 (2002), 326–360 | DOI | MR | Zbl

[5] Herard J.-M., “A three-phase flow model”, Math. and comput. modeling, 45 (2007), 732–755 | DOI | MR | Zbl

[6] Kuropatenko V. F., “Model mnogokomponentnoi sredy”, Dokl. AN, 403:6 (2005), 761–763

[7] Zein A., Hantke M., Warnecke G., “Modeling phase transition for compressible two-phase flows applied to metastable liquids”, J. Comput. Phys., 229 (2010), 2964–2998 | DOI | MR | Zbl

[8] Chung M.-S., Chang K.-S., Lee S.-J., “Numerical solution of hyperbolic two-fluid two-phase ow model with non-reecting boundary conditions”, Int. J. Engng. Sci., 40 (2002), 789–803 | DOI | Zbl

[9] Yeom G.-S., Chang K.-S., “A modified HLLC-type Riemann solver for the compressible six-equation two-fluid model”, Computers and Fluids, 76 (2013), 86–104 | DOI | MR

[10] Surov V. S., “Giperbolicheskaya model mnogoskorostnoi geterogennoi sredy”, Inzhenerno-fizicheskii zhurnal, 85:3 (2012), 495–502

[11] Surov V. S., “Odnoskorostnaya model geterogennoi sredy s giperbolichnym adiabaticheskim yadrom”, Zh. vychisl. matem. i matem. fiz., 48:6 (2008), 1111–1125 | MR | Zbl

[12] Uollis G., Odnomernye dvukhfaznye techeniya, Mir, M., 1972

[13] Surov V. S., Modelirovanie vysokoskorostnogo vzaimodeistviya kapel (strui) zhidkosti s pregradami, s silnymi udarnymi volnami, dis. ... kand. fiz.-matem. nauk, Chelyabinsk, 1993

[14] Surov V. S., “Ob odnom variante metoda kharakteristik dlya rascheta techenii odnoskorostnoi mnogokomponentnoi smesi”, Inzhenerno-fizicheskii zhurnal, 83:2 (2010), 345–350

[15] Kulikovskii A. G., Pogorelov N. V., Semenov A. Yu., Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenii, Izdanie vtoroe, dopolnennoe i ispravlennoe, Fizmatlit, M., 2012