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A NOVEL LATTICE BOLTZMANN METHOD FORMULATION FOR AN AXISYMMETRIC FLOW WITH SWIRL IN VORTICITY-STREAM FUNCTION VARIABLES.

Pedraza, S.; López, O. D.; Toro, J. R.;

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A novel lattice Boltzmann formulation for axisymmetric flows with swirl is proposed in vorticity-stream function variables. The present model solves the evolution equations for the azimuthal components of the velocity and vorticity coupled with the Poisson equation for the stream function. All three equations are solved by using source terms in a pseudo cartesian lattice Boltzmann formulation (LBM) formulation, which are needed in order to modify the standard D2Q5 lattice model used in the study. Numerical results of the simulations of a lid-driven swirling flow in a confined cylindrical cavity shows good agreement between the proposed model and numerical and experimental data available in the literature.

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Palavras-chave: Vorticity-stream function formulations, LBM, sources, axisymmetric flow with swirl.,

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DOI: 10.5151/meceng-wccm2012-19378

Referências bibliográficas
  • [1] J.M. Lopez, ”Axisymmetric vortex breakdown Part Confined swirlinf flow”. J. Fluid Mech. 221, 533-552, 1990.
  • [2] S. Leibovich, ” The structure of vortex breakdown”. Ann. Rev. Fluid Mech. 10, 221-46, 1978.
  • [3] O. Lucca-Negro, T.O’Doherty, ” Vortex breakdown: a review”. Progress in energy combustion science. 27, 431-481, 2001.
  • [4] S.K. Bhaumik, K.N. Lakshmisha ” Lattice Boltzmann simulation of lid driven swirling flow in confined cylindrical cavity”. Computers and fluids 36, 1163-1173, 2007.
  • [5] L. Valino, J. martin, ” Dynamics of LBM generated isotropic homogeneous turbulence with linear forcing”. Third european combustion meeting ECM 2007.
  • [6] Zhenhua Chai ” A novel Lattice Boltzmann model for the Poisson equation”. Applied mathematical modelling 32, 2050-2058, 2008.
  • [7] H. Huang, T.S. Lee ”Hybrid lattice Boltzmann finite-difference simulation of axisymmetric swirling and rotating flows”. Int. J. Numer. Meth. Fluids 2007; 53:17071726.
  • [8] J. Latt ”Hydrodynamic limit of lattice Boltzmann equations”. Doctoral Thesis, Univ. Geneve; 53:17071726.
  • [9] Z, Chai. B.Shi, ” A unified lattice Boltzmann model for some nonlinear partial differential equations”. Chaos, solitons and fractals, 2008
Como citar:

Pedraza, S.; López, O. D.; Toro, J. R.; "A NOVEL LATTICE BOLTZMANN METHOD FORMULATION FOR AN AXISYMMETRIC FLOW WITH SWIRL IN VORTICITY-STREAM FUNCTION VARIABLES.", p. 3476-3484 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-19378

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