Geodesic
Numerical simulation of viscous incompressible flow by a segregated and coupled SIMPLE-type algorithm
Matematičeskoe modelirovanie, Tome 28 (2016) no. 6, pp. 64-76.

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In given article efficiency of application of the segregated and coupled pressure-based algorithms is analyzed at modelling of turbulent flows. The segregated algorithm represents classical method SIMPLE and is based on semi-implicit coupling of speed and pressure. The coupled algorithm is based on fully implicit coupling of velocity and pressure. Coupling is carried out at the expense of an implicit coefficients gradient of pressure and a mass flow entering into the momentum and continuity equations. Implicit coefficients received thus are summarised in the general coupled matrix solved with use of an algebraic multinet method. At comparison of algorithms the total time of the account of problems and quantity of iterations to full convergence is resulted.
Keywords: Navier–Stokes equation, method SIMPLE, coupled pressure-based algorithm, segregated algorithm, turbulence flow, relaxation
Mots-clés : convergence. 
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     title = {Numerical simulation of viscous incompressible flow by a segregated and coupled {SIMPLE-type} algorithm},
     journal = {Matemati\v{c}eskoe modelirovanie},
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S. V. Lashkin; A. S. Kozelkov; D. P. Meleshkina; A. V. Yalozo; N. V. Tarasova. Numerical simulation of viscous incompressible flow by a segregated and coupled SIMPLE-type algorithm. Matematičeskoe modelirovanie, Tome 28 (2016) no. 6, pp. 64-76. http://geodesic.mathdoc.fr/item/MM_2016_28_6_a4/

[1] C. A. J. Fletcher, Computational techniques for fluid dynamics, v. 1, Springer-Verlag, 1988

[2] F. Moukalled, M. Darwish, B. Sekar, “A high resolution pressure-based algorithm for multi-phase flow at all speeds”, Journal of Computational Physics, 190 (2003), 550–571 | DOI | Zbl

[3] G. Zhaoli, T. S. Zhao, “Lattice Boltzmann model for incompressible flows through porous media”, Physical Review, 2002

[4] F. Cimolin, M. Discacciati, Navier–Stokes/Forchheimer models for filtration through porous media, Technical Report, Institute of Analysis and Scientific Computing, 2009

[5] K. Shterev, S. Stefanov, “Pressure based finite volume method for calculation of compressible”, Journal of Computational Physics, 229 (2010), 461–480 | DOI | MR | Zbl

[6] Z. J. Chen, A. J. Przekwas, “A coupled pressure-based computational method for incompressible/compressible flows”, Journal of Computational Physics, 229 (2010), 9150–9165 | DOI | MR | Zbl

[7] V. S. Shydkii, Iu. G. Iaroshenko, Mekhanika zhidkosti i gaza, Akademkniga, M., 2003, 466 pp.

[8] F. Moukalled, M. A. Darwish, “Unified Formulation of the Segregated Class of Algorithms for Fluid Flow at All Speeds”, Numerical Heat Transfer, 37:1 (2000), 103–139 | DOI

[9] M. Darwish, I. Sraj, F. Moukalled, “A coupled finite volume solver for the solution of incompressible flows on unstructured grids”, Journal of Computational Physics, 228 (2009), 180–201 | DOI | MR | Zbl

[10] M. Emans, M. Liebmann, Velocity-Pressure Coupling on GPU, SFB-Report, No 3, 2013

[11] K. Jareteg, Block coupled calculation in OpenFOAM, Chalmers Univ. of Techonology, 2012

[12] L. Mangani, “A coupled finite volume solver for the solution of laminar/turbulent incompressible and compressible flows”, OpenFOAM Workshop (2010)

[13] A. S. Kozelkov, Iu. N. Deriugin, S. V. Lashkin, D. P. Silaev, P. G. Simonov, “Realizatsiia metoda rascheta viazkoi neszhimaemoi zhidkosti c ispolzovaniem mnogosetochnogo metoda na osnove algoritma SIMPLE v pakete program LOGOS”, VANT, ser. Matematicheskoe modelirovanie fizicheskikh protsessov, 2013, no. 4

[14] J. H. Ferziger, M. Peric, Computational Method for Fluid Dynamics, Springer-Verlag, Berlin–Heidelberg, 1996 | MR

[15] F. R. Menter, “Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications”, AIAA Journal, 32 (1994), 1598–1605 | DOI

[16] A. S. Kozelkov, K. N. Volkov, Iu. N. Deriugin, V. N. Emelianov, A. G. Karpenko, Metody uskoreniia gazodinamicheskikh raschetov na nestrukturirovannykh setkakh, Fizmatlit, M., 2013

[17] A. S. Kozelkov, V. V. Kurulin, E. S. Tiatiushkina, O. L. Puchkova, S. V. Lashkin, “Modelirovanie techenii viazkoi neszhimaemoi zhidkosti na nestrukturirovannykh setkakh metodom otsoedinennykh vikhrei”, Matematicheskoe modelirovanie, 26:8 (2013), 81–96

[18] A. S. Kozelkov i dr., Matematicheskie modeli i algoritmy dlia chislennogo modelirovaniia zadach gidrodinamiki i aerodinamiki, uchebnoe posobie, Nezhegorod. gos. tekhn. unt im. R. E. Alekseeva, Nizhnii Novgorod, 2014

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

[20] F. R. Menter, Two-equation eddy viscosity turbulence models for aerodynamics flows, AIAA Paper No 92-429, 1992

[21] Uroki 3D, 3D modeli, http://www.3dsociety.ru/3dmodels/3d-model-audi-a3