Numerical Methods for Solving Turbulent Flows by Using Parallel Technologies

Affiliation(s)

Department Mechanics and Mathematics, al-Farabi Kazakh National University, Almaty, Kazakhstan.

Department Mechanics and Mathematics, al-Farabi Kazakh National University, Almaty, Kazakhstan.

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.

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.

Issakhov, A. (2013) Numerical Methods for Solving Turbulent Flows by Using Parallel Technologies.

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