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 JCC  Vol.1 No.1 , February 2013
Numerical Methods for Solving Turbulent Flows by Using Parallel Technologies
Abstract: Parallel implementation of algorithm of numerical solution of Navier-Stokes equations for large eddy simulation (LES) of turbulence is presented in this research. The Dynamic Smagorinsky model is applied for sub-grid simulation of turbulence. The numerical algorithm was worked out using a scheme of splitting on physical parameters. At the first stage it is supposed that carrying over movement amount takes place only due to convection and diffusion. Intermediate field of velocity is determined by method of fractional steps by using Thomas algorithm (tridiaginal matrix algorithm). At the second stage found intermediate field of velocity is used for determination of the field of pressure. Three dimensional Poisson equation for the field of pressure is solved using upper relaxation method. Moreover various ways of geometrical decomposition for parallel numerical solution of three dimensional Poisson equations are investigated.
Cite this paper: Issakhov, A. (2013) Numerical Methods for Solving Turbulent Flows by Using Parallel Technologies. Journal of Computer and Communications, 1, 1-5. doi: 10.4236/jcc.2013.11001.
References

[1]   J.D. Jr. Anderson, “Computational Fluid Dynamics”, New York: McGraw-Hill. 1995.

[2]   C.A. Fletcher, “Computational Techniques for Fluid Dynaimics,” Vol 2: Special Techniques for Differential Flow Categories, Berlin: Springer-Verlag. 1988.

[3]   G. E. Karniadakis, “Parallel Scientific Computing in C++ and MPI.” 2000

[4]   P. Pacheco. “Parallel Programming with MPI,” Morgan Kaufmann. 1996.

[5]   S.K. Lely. “Compact finite difference scheme with spectral-like resolution,” J. Comp. Phys., 183, 1992, pp. 16-42.

[6]   M. Lesieur, O. Metais, P. Comte, “Large-eddy simulations of turbulence,” Cambridge university press. 2005.

[7]   R. Peyret, D. Th. Taylor, “Computational Methods for Fluid Flow,” New York: Berlin: Springer-Verlag. 1983.

[8]   N.N. Yanenko, “The Method of Fractional Steps,” New York: Springer-Verlag. In J.B.Bunch and D.J. Rose (eds.), Space Matrix Computations, New York: Academics Press. 1979.

[9]   A. Issakhov, “Large eddy simulation of tur-bulent mixing by using 3D decomposition method,” J. Phys.: Conf. Ser. 318(4), 042051, 2011. doi: 10.1088/1742-6596/318/4/ 042051

[10]   B. Zhumagulov, A. Issakhov, “Parallel implementation of numerical methods for solving turbulent flows,” Vestnik NEA RK. 1(43), 2012, pp. 12–24

[11]   A. Issakhov, “Parallel algorithm for numerical solution of three-dimensional Poisson equation,” Proceedings of world academy of science, engineering and technology 64, 2012, pp. 692–694.

[12]   A. Issakhov, “Mathematical modeling of the influence of hydrothermal processes in the water reservoir,” Proceedings of world academy of science, engineering and technology 69, 2012, pp. 632–635.

[13]   A. Issakhov, “Mathematical modelling of the influence of thermal power plant to the aquatic environment by using parallel technologies,” AIP Conf. Proc. 1499, 2012, pp. 15-18. doi: http://dx.doi.org /10.1063/ 1.4768963

[14]   A. Issakhov, “Development of parallel algorithm for numerical solution of three-dimensional Poisson equation,” Journal of Communication and Computer. Volume 9, Number 9, 2012, pp. 977-980.

 
 
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