Research Article

Hybrid lattice Boltzmann finite-difference simulation of axisymmetric swirling and rotating flows

  1. Haibo Huang*,
  2. T. S. Lee,
  3. C. Shu

Article first published online: 10 OCT 2006

DOI: 10.1002/fld.1380

Issue

International Journal for Numerical Methods in Fluids

International Journal for Numerical Methods in Fluids

Volume 53, Issue 11, pages 1707–1726, 20 April 2007

Additional Information

How to Cite

Huang, H., Lee, T. S. and Shu, C. (2007), Hybrid lattice Boltzmann finite-difference simulation of axisymmetric swirling and rotating flows. International Journal for Numerical Methods in Fluids, 53: 1707–1726. doi: 10.1002/fld.1380

Author Information

  1. Fluid Division, Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore

*Fluid Division, Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore

Publication History

  1. Issue published online: 21 MAR 2007
  2. Article first published online: 10 OCT 2006
  3. Manuscript Accepted: 25 AUG 2006
  4. Manuscript Revised: 24 AUG 2006
  5. Manuscript Received: 3 JUN 2006

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Keywords:

  • lattice Boltzmann;
  • axisymmetric;
  • source term;
  • Taylor–Couette flow;
  • crystal growth

Abstract

The axisymmetric flows with swirl or rotation were solved by a hybrid scheme with lattice Boltzmann method for the axial and radial velocities and finite-difference method for the azimuthal (or swirl) velocity and the temperature. An incompressible axisymmetric lattice Boltzmann D2Q9 model was proposed to solve the axial and radial velocities through inserting source terms into the two-dimensional lattice Boltzmann equation. Present hybrid scheme was firstly validated by simulations of Taylor–Couette flows between two concentric cylinders. Then the benchmark problems of melt flow in Czochralski crystal growth were studied and accurate results were obtained. Numerical experiment demonstrated that present axisymmetric D2Q9 model is more stable than the previous axisymmetric D2Q9 model (J. Comp. Phys. 2003; 186(1):295–307). Hence, compared with the previous model, present numerical method provides a significant advantage in simulation melt flow cases with high Reynolds number and high Grashof number. Copyright © 2006 John Wiley & Sons, Ltd.

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