Geodesic
Application of a direct method for solving the Boltzmann equation in supersonic flow computation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 11, pp. 1970-1980 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Boltzmann kinetic equation is used to numerically study the evolution of separated flows over a backward-facing step at low Knudsen numbers. The Boltzmann equation is solved by applying an explicit-implicit scheme. To improve the efficiency of the solution algorithm, it is parallelized with the help of MPI. The solution obtained with the kinetic equation is compared with those based on continuous medium equations. It is shown that the kinetic approach makes it possible to reproduce the distributions of surface pressure, friction coefficient, and heat transfer, as well as to obtain a flow structure close to experimental data. 
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V. V. Aristov; O. I. Rovenskaya. Application of a direct method for solving the Boltzmann equation in supersonic flow computation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 11, pp. 1970-1980. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_11_a9/

[1] Knight D., Yan H., Panaras A. G., Zheltovodov A. A., “Advances in CFD prediction of shockwave turbulent boundary layer interactions”, Progress in Aerospace Sci., 39 (2003), 121–184 | DOI

[2] Loginov M. S., Adams N. A., Zheltovodov A. A., “Large-eddy simulation of shock-wave/turbulent-boundary-layer interaction”, J. Fluid Mech., 565 (2006), 135–169 | DOI | Zbl

[3] Zheltovodov A. A., Some advances in research of shock wave turbulent boundary layer interactions, AIAA Paper No 2006-496, 2006, 25 pp.

[4] Fang J., Yao Yu, Lu L., Zheltovodov A. A., “Direct numerical simulation of supersonic turbulent flow in expansioncompression corner”, Internat. Conf. Methods of Aerophys. Research, Abstracts (Novosibirsk, 2014), v. I, 69–70

[5] Bedarev I. A., Fedorova N. N., “Raschet gazodinamicheskikh parametrov i teploobmena v sverkhzvukovykh turbulentnykh otryvnykh techeniyakh v okrestnosti ustupov”, Prikl. mekhan. i tekhn. fiz., 42:1 (2001), 56–64 | MR | Zbl

[6] Wilcox D. C., Turbulence modeling for CFD, DCW Industries, Inc., La Canada, CA, 1998

[7] Rovenskaya O. I., “Issledovanie evolyutsii vikhrevoi sistemy na osnove resheniya uravneniya Boltsmana”, Zh. vychisl. matem. i matem. fiz., 47:9 (2007), 1609–1615 | MR

[8] Aristov V. V., Rovenskaya O. I., “Application of the Boltzmann kinetic equation to the eddy problem”, Comput. Fluids, 50 (2011), 189–198 | DOI | MR | Zbl

[9] Sakurai A., Takayama F., “Molecular kinetic approach to the problem of compressible turbulence”, Phys. Fluids, 15 (2003), 1282–1296 | DOI

[10] Aristov V. V., Rovenskaya O. I., “Kinetic description of the turbulence in the supersonic compressible flow over a backward/forward-facing step”, Comput. and Fluids, 111 (2015), 150–158 | DOI | MR

[11] Aristov V. V., “Reshenie uravneniya Boltsmana pri malykh chislakh Knudsena”, Zh. vychisl. matem. i matem. fiz., 44:6 (2004), 1127–1140 | MR | Zbl

[12] Kogan M. N., Dinamika razrezhennogo gaza (kineticheskaya teoriya), Nauka, M., 1967

[13] Tcheremissine F. G., “Direct numerical solution of the Boltzmann equation”, 24th Symposium on Rarefied Gas Dynamics, AIP Conference Proc., 762, eds. M. Capitelli et al., New York–Melville, 2005

[14] Zheltovodov A. A., Trofimov V. M., Shilein E. Kh., Yakovlev V. N., Zadokumentirovannye dannye eksperimentalnykh issledovanii sverkhzvukovykh turbulentnykh otryvnykh techenii v okrestnosti naklonnykh stupenek i ustupov, Otchet. Inv. No 2030, In-t teoret. i prikl. mekhan. SO AN SSSR, Novosibirsk, 1990