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Low Mach number model for investigation of 3D flows

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Języki publikacji
EN
Abstrakty
EN
In the present paper a computational algorithm based on the low Mach number model is proposed to investigate strongly 3D flow in the rotating cavity with heat exchange. Algorithm is based on a paper by Ouazzani and Garrabos [1]. For the spatial approximation an efficient pseudo-spectral Chebyshev-Fourier method is used [2]. Algorithm was verified by comparing the results with these obtained using the Boussinesq fluid.
Rocznik
Strony
25--36
Opis fizyczny
Bibliogr. 12 poz.,rys., wykr., wz.,
Twórcy
  • Institute of Thermal Engineering, Poznan University of technology
Bibliografia
  • [1] OUAZZANI J., GARRABOS Y.: A new numerical algorithm for Low Mach Number supercritical fluids, http://arxiv.org/abs/0704.3051v1, 2007.
  • [2] TULISZKA-SZNITKO E., ZIELIŃSKI A.: Instability of the flow in rotating cavity, J. Theor. Applied Mech., 45 (2007), 685-704.
  • [3] OWEN J. M., ROGERS R.: Flow and heat transfer in rotating disk systems, Vol. 1: Rotor-stator systems, W. D. Morris (Willey, Taunton, Sommerset, England, 1989).
  • [4] OWEN J. M., ROGERS R.: Flow and heat transfer in rotating disk systems, Vol. 2: rotating cavities, W. D. Morris (Willey, 1995).
  • [5] VENKATESWARAN S., MERKLE L.: Analysis of preconditioning methods for the Euler and Navier-Stokes equations, Von Karman Lecture Series, 1999-03, (1999).
  • [6] LESSANI B., RAMBOER J., LACOR C.: Efficient large-eddy simulations of low mach number flows using preconditioning and multigrid, Int. J. Comput. Fluid Dynamics, 18(2004), 221.
  • [7] GUILLARD H., VIOZAT C.: On the behavior of upwind schemes in the low Mach number limit, Comput. Fluids, 28(1999), 63-86.
  • [8] COOK A. W., RILEY J. J.: Direct numerical simulation of a turbulent reactive plume on a parallel computer, J. Comput. Phys., 129(1996), 263.
  • [9] DE CHARENTENAY J., THEVENIN D., ZAMUNER B.: Comparison of direct numerical simulations of turbulent flames using compressible or low mach number formulations, Int. J. Num. Meth. Fluids, 39 (2002), 497.
  • [10] KARKI K. C., PATANKAR S. V.: Pressure based calculation procedure for viscous flows at all speeds in arbitrary configurations, AIAA J., 27(189), 1167-74.
  • [11] NICOUD F.: Conservative high-order finite-difference schemes for low mach number flows, J. Comput. Phys., 158 (2007), 71.
  • [12] SERRE E., PULICANI J. P.: A three-dimensional pseudospectral method for rotating flows in a cylinder, Computers & Fluids, 30(2001), 491-519.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BGPK-2161-8355
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