Geodesic
Application of numerical schemes with singling out the boundary layer for the computation of turbulent flows using eddy-resolving approaches on unstructured grids
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 6, pp. 1048-1060 
A. S. Kozelkov; O. L. Krutyakova; V. V. Kurulin; S. V. Lashkin; E. S. Tyatyushkina. Application of numerical schemes with singling out the boundary layer for the computation of turbulent flows using eddy-resolving approaches on unstructured grids. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 6, pp. 1048-1060. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_6_a10/
@article{ZVMMF_2017_57_6_a10,
     author = {A. S. Kozelkov and O. L. Krutyakova and V. V. Kurulin and S. V. Lashkin and E. S. Tyatyushkina},
     title = {Application of numerical schemes with singling out the boundary layer for the computation of turbulent flows using eddy-resolving approaches on unstructured grids},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1048--1060},
     year = {2017},
     volume = {57},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_6_a10/}
}
TY  - JOUR
AU  - A. S. Kozelkov
AU  - O. L. Krutyakova
AU  - V. V. Kurulin
AU  - S. V. Lashkin
AU  - E. S. Tyatyushkina
TI  - Application of numerical schemes with singling out the boundary layer for the computation of turbulent flows using eddy-resolving approaches on unstructured grids
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2017
SP  - 1048
EP  - 1060
VL  - 57
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_6_a10/
LA  - ru
ID  - ZVMMF_2017_57_6_a10
ER  - 
%0 Journal Article
%A A. S. Kozelkov
%A O. L. Krutyakova
%A V. V. Kurulin
%A S. V. Lashkin
%A E. S. Tyatyushkina
%T Application of numerical schemes with singling out the boundary layer for the computation of turbulent flows using eddy-resolving approaches on unstructured grids
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2017
%P 1048-1060
%V 57
%N 6
%U http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_6_a10/
%G ru
%F ZVMMF_2017_57_6_a10

Voir la notice de l'article provenant de la source Math-Net.Ru

The use of eddy-resolving approaches to solving problems on arbitrary unstructured grids is investigated. The applications of such approaches requires the use of low dissipation numerical schemes, which can lead to numerical oscillations of the solution on unstructured grids. Numerical oscillations typically occur in domains with large gradients of velocities, in particular, in the near-wall layer. It is proposed to single out the boundary layer and use a numerical scheme with increased numerical dissipation in it. The algorithm for singling out the boundary layer uses a switching function to change the parameters of the numerical scheme. This algorithm is formulated based on the BCD scheme from the family NVD. Its validity and advantages are investigated using the zonal RANS-LES approach for solving some problems of turbulent flow of incompressible fluids.

[1] Volkov K. N., Emelyanov V. N., Modelirovanie krupnykh vikhrei v raschetakh turbulentnykh techenii, Fizmatlit, M., 2008

[2] Snegirev A. Yu., Vysokoproizvoditelnye vychisleniya v fizike. Chislennoe modelirovanie turbulentnykh techenii, Izd-vo Politekhn. Un-ta, S.-Peterburg, 2009

[3] Travin A., Shur M., Strelets M., Spalart P. R., “Detached-eddy simulations past a circular cylinder”, Flow. Turb. Comb., 63 (2000), 293–313 | DOI | Zbl

[4] Jarrin N., Prosser R., Uribe J. et al., “Reconstruction of turbulent fluctuations for hybrid RANS/LES simulations using a Synthetic-Eddy Method”, Internat. J. Heat and Fluid Flow, 30:3 (2009), 435–442 | DOI

[5] Adamyan D. Yu., “Effektivnyi metod generatsii sinteticheskoi turbulentnosti na vkhodnykh granitsakh LES oblasti v ramkakh kombinirovannykh RANS-LES podkhodov k raschetu turbulentnykh techenii”, Matem. modelirovanie, 23:7 (2011), 3–19

[6] Kozelkov A. S., Kurulin V.V, Tyatyushkina E. S., Puchkova O. L., Lashkin S. V., “Issledovanie skhem diskretizatsii konvektivnogo potoka dlya modelirovaniya turbulentnykh techenii vyazkoi neszhimaemoi zhidkosti metodom otsoedinennykh vikhrei”, Fundamentalnye issledovaniya, 2013, no. 10, 13

[7] Kozelkov A. S., Kurulin V. V., Tyatyushkina E. S., Puchkova O. L., “Modelirovanie turbulentnykh techenii vyazkoi neszhimaemoi zhidkosti na nestrukturirovannykh setkakh s ispolzovaniem modeli otsoedinennykh vikhrei”, Matem. modelirovanie, 26:8 (2014), 81–96

[8] Jasak H., Weller H. G., Gosman A. D., “High resolution NVD differencing scheme for arbitrarily unstructured meshes”, Internat. J. Numerical Methods in Fluids, 31 (1999), 431–449 | 3.0.CO;2-T class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | Zbl

[9] Jasak H., Error Analysis and Estimation for the finite volume method with applications to fluid flows, Thesis submitted for the degree of doctor, Department of Mech. Eng. Imperial College of Sci., 1996

[10] Leonard B.P., “The ULTIMATE conservative difference scheme applied to unsteady onedimensional advection”, Comput. Methods Appl. Mech. Engng., 88 (1991), 17–74 | DOI | Zbl

[11] Kozelkov A. S., Kurulin V. V., “Chislennaya skhema dlya modelirovaniya turbulentnykh techenii neszhimaemoi zhidkosti s ispolzovaniem vikhrerazreshayuschikh podkhodov”, Zh. vychisl. matem. i matem. fiz., 55:7 (2015), 135–146

[12] Kozelkov A. S., Zhuchkov R. N., Utkina A. A., Volodchenkova K. B., “Modelirovanie turbulentnykh techenii na setkakh gibridnoi struktury s ispolzovaniem skhem vysokogo poryadka tochnosti”, Vopr. atomnoi nauki i tekhn. Ser. Matem. modelirovanie fiz. protsessov, 2014, no. 3, 18–31

[13] Strelets M., 39th Aerospace Sci. Meeting and Exhibit, AIAA Paper 2001-0879 (Reno, NV, 2001)

[14] Shlikhting G., Teoriya pogranichnogo sloya, Nauka, M., 1974

[15] Volkov K. N., Emelyanov V. N., Techeniya i teploobmen v kanalakh i vraschayuschikhsya polostyakh, Fizmatlit, M., 2010

[16] Volkov K. N., Deryugin Yu. N., Emelyanov V. N., Karpenko A. G., Kozelkov A. S., Teterina I. V., Metody uskoreniya gazodinamicheskikh raschetov na nestrukturirovannykh setkakh, Fizmatlit, M., 2013

[17] Kozelkov A. S., Deryugin Yu. N., Lashkin S. V., Silaev D. P., Simonov P. G., “Realizatsiya metoda rascheta vyazkoi neszhimaemoi zhidkosti s ispolzovaniem mnogosetochnogo metoda na osnove algoritma SIMPLE v pakete programm LOGOS”, VANT, ser. Matem. modelirovanie fiz. protsessov, 2013, no. 4

[18] Betelin V. B., Shagaliev R. M., Aksenov S. V., Belyakov I. M., Deryuguin Yu. N., Korchazhkin D. A., Kozelkov A. S., Nikitin V. F., Sarazov A. V., Zelenskiy D. K., “Mathematical simulation of hydrogen-oxygen combustion in rocket engines using LOGOS code”, Acta Astronautica, 96 (2014), 53–64 | DOI

[19] Kozelkov A. S., Kurulin V. V., Puchkova O. L., Lashkin S. V., “Modelirovanie turbulentnykh techenii s ispolzovaniem algebraicheskoi modeli reinoldsovykh napryazhenii s universalnymi pristenochnymi funktsiyami”, Vychisl. mekhan. sploshnykh sred, 7:1 (2014), 40–51

[20] Cherry E. M., Elkins C. J., Eaton J. K., “Geometric Sensitivity of 3-D separated flows”, Proc. 5-th Int. Symp. Turbulence and Shear Flow Phenomena-TSFP5 (Munich, August 27–29, 2007)

[21] Menter F. R., Garbaruk A. V., Egorov Y., “Explicit algebraic Reynolds stress models for anisotropic wall-bounded flows”, Proc. 3-rd Europ. Conf. Aero-Space Sci. (EUCASS) (Versailles, July 6–9-th, 2009)

[22] Fukushima N., Fukagata K., Kasagi N., Noguchi H., Tanimoto K., “Numerical and experimental study on turbulent thermal mixing in a T-junction flow”, The 6-th ASME-JSME Thermal Engng. Joint Conf. (March 16–20, 2003)

[23] Kozelkov A. S. i dr., Matematicheskie modeli i algoritmy dlya chislennogo modelirovaniya zadach gidrodinamiki i aerodinamiki, uchebnoe posobie, Nizhegorod. gos. tekhn. un-t, Nizhnii Novgorod, 2014

[24] Kozelkov A.S i dr., “Minimalnyi bazis zadach dlya validatsii metodov chislennogo modelirovaniya turbulentnykh techenii vyazkoi neszhimaemoi zhidkosti”, Tr. Nizhegorodskogo gos. tekhn. un-ta, 2014, no. 4(104), 21–69