Abstract:
The numerical modeling of wave flows of heterogeneous media with a three-temperature scheme of interphase heat and mass transfer involves the problem of equation stiffness. A discrete model of improved stability was developed to describe these processes. Test calculations of the interaction of a shock wave with a bounded layer of a mixture of a gas and droplets assuming a discrete model over a wide range of initial data showed that the stability conditions do not depend on the rate of interphase interaction (C-stability).
Citation:
D. V. Sadin, “Stiffness problem in modeling wave flows of heterogeneous media with a three-temperature scheme of interphase heat and mass transfer”, Prikl. Mekh. Tekh. Fiz., 43:2 (2002), 136–141; J. Appl. Mech. Tech. Phys., 43:2 (2002), 286–290
\Bibitem{Sad02}
\by D.~V.~Sadin
\paper Stiffness problem in modeling wave flows of heterogeneous media with a three-temperature scheme of interphase heat and mass transfer
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2002
\vol 43
\issue 2
\pages 136--141
\mathnet{http://mi.mathnet.ru/pmtf2615}
\elib{https://elibrary.ru/item.asp?id=17274655}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2002
\vol 43
\issue 2
\pages 286--290
\crossref{https://doi.org/10.1023/A:1014714012032}
Linking options:
https://www.mathnet.ru/eng/pmtf2615
https://www.mathnet.ru/eng/pmtf/v43/i2/p136
This publication is cited in the following 8 articles:
D. V. Sadin, “Test Problems of Gas Suspension Dynamics Using Asymptotically Exact Solutions”, Math Models Comput Simul, 15:3 (2023), 564
D. V. Sadin, “Test problems of gas suspension dynamics using asymptotically exact solutions”, Matem. Mod., 34:12 (2022), 59–74
D. V. Sadin, “A modification of the large-particle method to a scheme having the second order of accuracy in space and time for shockwave flows in a gas suspension”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:2 (2019), 112–122
D. V. Sadin, “TVD scheme for stiff problems of wave dynamics of heterogeneous media of nonhyperbolic nonconservative type”, Comput. Math. Math. Phys., 56:12 (2016), 2068–2078
D. V. Sadin, A. N. Dobrolyubov, V. P. Zyuzlikov, K. V. Mogilenko, B. E. Sinilshchikov, “Interaction of a gas-droplet turbulent jet with a cocurrent high-velocity high-temperature gas flow”, J. Appl. Mech. Tech. Phys., 49:3 (2008), 417–424
D. V. Sadin, V. O. Guzenkov, S. D. Lyubarskii, “Numerical study of the structure of a finely disperse unsteady two-phase jet”, J. Appl. Mech. Tech. Phys., 46:2 (2005), 224–229
H. A. Attia, “Numerical study of the flow and heat transfer in a Renier–Rivlin fluid on a rotating porous disk”, J. Appl. Mech. Tech. Phys., 46:1 (2005), 68–76
D. V. Sadin, V. O. Guzenkov, S. D. Lyubarskii, “Numerical study of the structure of a finely disperse unsteady two-phase jet”, J Appl Mech Tech Phys, 46:2 (2005), 224
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