Abstract
A modification of the popular model of shear stress transport aimed at calculating the separation flow of an incompressible viscous liquid is justified. The modification eliminates the nonphysical pumping of the vortex viscosity in the cores of large-scale vortices. It has been verified with regard to the influence of the streamline curvature on the vortex viscosity by introducing a reciprocal linear function of the turbulent Richardson number with the Isaev–Kharchenko–Usachov constant equal to 0.02.Verification is based on solving the test problem an axisymmetric steady flow about a disk–cylinder tandem with an optimally configured nose, which has an ultralow profile drag for a Reynolds number of 5 × 105. It has been shown that the Menter combined boundary conditions are valid if y + y of the wall does not exceed two.
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S. A. Isaev, A. G. Sudakov, P. A. Baranov, A. E. Usachov, S. V. Strizhak, Ya. K. Lokhanskii, and S. V. Guvernyuk, Vestn. Yuzhno-Ural. Gos. Univ., Ser.: Mat. Model. Program. 17 [150(3)], 59 (2009).
I. A. Belov and S. A. Isaev, Modeling of Turbulent Flows. A Student Book (Balt. Gos. Tekh. Univ., St. Petersburg, 2001).
B. E. Launder and D. B. Spalding, Comput. Methods Appl. Mech. Eng. 3, 269 (1974).
F. R. Menter, AIAA Pap. 2906, 1 (1993).
P. R. Spalart and S. R. Allmares, AIAA Pap. 92-0439 (1992).
F. R. Menter, M. Kuntz, and R. Langtry, in Turbulence, Heat and Mass Transfer 4, Ed. by K. Hajalic, Y. Nogano, and M. Tummers (Begell House, New York, 2003).
M. Leschziner and U. Rodi, Teor. Osnovy Inzh. Raschetov 103, 299 (1981).
I. A. Belov, S. A. Isaev, and V. A. Korobkov, Problems and Methods for Calculation of Detached Flows of Incompressible Fluids (Sudostroenie, Leningrad, 1989).
Managing of Flows around Bodies with Vortical Cells in Application to Aircraft Vehicles of Integral Configuration (Numerical and Physical Modeling), Ed. by A. V. Ermishin and S. A. Isaev (Mosk. Gos. Univ., Moscow, 2003).
A. Hellsten, AIAA Pap. 98-2554 (1998).
V. B. Kharchenko, “Numerical modeling of detached flows with eddy and jet generators based on multiblock computation technologies,” Candidate’s Dissertation (St. Petersburg, 2006).
S. A. Isaev, P. A. Baranov, and A. E. Usachov, Multiblock Computation Technologies in VP2/3 Code on Aerothermodynamics (Lambert Academic, Saarbryuken, 2013).
M. Shur, M. Strelets, A. Travin, and P. R. Spalart, AIAA J. 38, 784 (2000).
P. E. Smirnov and F. Menter, in Proceedings of the ASME Turbo Expo Conference, Berlin, 2008, No. GT2008-50480.
T. Esch and F. R. Menter, Turbulence, Heat and Mass Transfer 4, Ed. by K. Hanjalic, Y. Nogano, and M. Tummers (Begell House, New York, 2003).
F. Menter, J. C. Ferreira, T. Esch, and B. Konno, in Proceedings of the International Gas Turbine Congress, Tokyo, 2003, IGTC2003-TS-059.
ANSYS FLUENT 14.0: User’s Guide.
S. A. Isaev, A. N. Mikhalev, A. G. Sudakov, and A. E. Usachov, Tech. Phys. 52, 991 (2007).
S. A. Isaev, Yu. M. Lipnitskii, A. N. Mikhalev, A. V. Panasenko, and A. E. Usachov, J. Eng. Phys. Thermophys. 84, 827 (2011).
S. A. Isaev, P. A. Baranov, A. N. Mikhalev, and A. G. Sudakov, Tech. Phys. Lett. 40, 996 (2014).
S. A. Isaev, Yu. M. Lipnitckii, A. N. Mikhalev, A. V. Panasenko, and P. A. Baranov, Tech. Phys. Lett. 39, 750 (2013).
S. A. Isaev, P. A. Baranov, Yu. V. Zhukova, A. E. Usachov, and V. B. Kharchenko, J. Eng. Phys. Thermophys. 87, 1002 (2014).
S. A. Isaev, P. A. Baranov, A. E. Usachov, Yu. V. Zhukova, A. A. Vysotskaya, and D. A. Malyshkin, Inzh.-Fiz. Zh. 88, 872 (2015).
S. A. Isaev, E. A. Kalinin, A. A. Tereshkin, and A. E. Usachov, Tech. Phys. Lett. 41, 298 (2015).
S. A. Isaev, J.-J. Miau, A. G. Sudakov, and A. E. Usachov, Tech. Phys. Lett. 41, 737 (2015).
A. Roshko and K. Koenig, in Aerodynamic Drag Mechanisms of Bluff Bodies and Road Vehicles, Ed. by G. Sovran, T. Morel, and W. T. Mason (Plenum, New York, 1978), pp. 253–286.
A. Roshko and K. Koenig, J. Fluid Mech. 156, 167 (1985).
V. K. Bobyshev and S. A. Isaev, Processes of Turbulaent Transfer (Inst. Teplo-Masso-Obmena Akad. Nauk BSSR, Minsk, 1988), pp. 39–48.
I. A. Belov, I. M. Dement’ev, S. A. Isaev, and A. Yu.Mitin, Preprint No. 1353, FTI im. A.F. Ioffe (Ioffe Physical-Technical Institute, 1989).
V. K. Bobyshev and S. A. Isaev, J. Eng. Phys. 58, 556 (1990).
S. A. Isaev, J. Eng. Termophys. 68, 16 (1995).
S. A. Isaev, V. M. Suprun, and O. A. Shul’zhenko, J. Eng. Phys. 60, 342 (1991).
V. K. Bobyshev and S. A. Isaev, J. Eng. Phys. Thermophys. 71, 600 (1998).
J. H. Ferziger and M. Peric, Computational Methods for Fluid Dynamics (Heidelberg, Berlin, 1999).
J. P. Van Doormaal and G. D. Raithby, Numer. Heat Transfer. 7 (2), 147 (1984).
B. P. Leonard, Comp. Methods Appl. Mech. Eng. 19, 59 (1979).
B. Van Leer, J. Comput. Phys. 32, 101 (1979).
S. M. Rhie and W. L. Chow, Aerokosm. Tekh. 2 (7), 33 (1984).
A. A. Gavrilov, Candidate’s Dissertation in Speciality No. 05.13.18 (Inst. Teplofiz. im. S.S. Kutateladze SO RAN, Novosibirsk, 2013).
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Original Russian Text © S.A. Isaev, P.A. Baranov, A.G. Sudakov, I.A. Popov, 2016, published in Zhurnal Tekhnicheskoi Fiziki, 2016, Vol. 86, No. 8, pp. 32–41.
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Isaev, S.A., Baranov, P.A., Sudakov, A.G. et al. Verification of the standard model of shear stress transport and its modified version that takes into account the streamline curvature and estimation of the applicability of the Menter combined boundary conditions in calculating the ultralow profile drag for an optimally configured cylinder–coaxial disk arrangement. Tech. Phys. 61, 1152–1161 (2016). https://doi.org/10.1134/S1063784216080120
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DOI: https://doi.org/10.1134/S1063784216080120