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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 70, 2016 - Issue 3
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Original Articles

Developing a ghost fluid lattice Boltzmann method for simulation of thermal Dirichlet and Neumann conditions at curved boundaries

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Pages 251-266 | Received 14 Feb 2016, Accepted 29 Apr 2016, Published online: 17 Aug 2016

References

  • X. He and L. -S. Luo, A Priori Derivation of the Lattice Boltzmann Equation, Phys. Rev. E, vol. 55, pp. R6333, 1997.
  • I. Ginzbourg, Boundary Conditions Problems in Lattice Gas Methods for Single and Multiple Phases, Ph.D. thesis, University Paris VI, 1994.
  • S. Chen and G. D. Doolen, Lattice Boltzmann Method for Fluid Flows, Ann. Rev Fluid Mech., vol. 30, no. 1, pp. 329–364, 1998.
  • O. Filippova and D. Hänel, Grid Refinement for Lattice-BGK Models, J. Comput. Phys., vol. 147, no. 1, pp. 219–228, 1998.
  • R. Mei, L. -S. Luo, and W. Shyy, An Accurate Curved Boundary Treatment in the Lattice Boltzmann Method, J. Comput. Phys., vol. 155, no. 2, pp. 307–330, 1999.
  • M. h. Bouzidi, M. Firdaouss, and P. Lallemand, Momentum Transfer of a Boltzmann-lattice Fluid with Boundaries, Phys. Fluids, vol. 13, no. 11, pp. 3452, 2001.
  • Z. Guo, C. Zheng, and B. Shi, An Extrapolation Method for Boundary Conditions in Lattice Boltzmann Method, Phys. Fluids, vol. 14, no. 6, pp. 2007, 2002.
  • H. Huang, T. Lee, and C. Shu, Thermal Curved Boundary Treatment for the Thermal Lattice Boltzmann Equation, Int. J. Mod. Phys. C, vol. 17, no. 05, pp. 631–643, 2006.
  • T. Zhang, B. Shi, Z. Guo, Z. Chai, and J. Lu, General Bounce-back Scheme for Concentration Boundary Condition in the Lattice-Boltzmann Method, Phys. Rev. E, vol. 85, no. 1, pp. 016701, 2012.
  • A. Tiwari and S. P. Vanka, A Ghost Fluid Lattice Boltzmann Method for Complex Geometries, Int. J. Numer. Meth. Fluids, vol. 69, no. 2, pp. 481–498, 2012.
  • R. Khazaeli, S. Mortazavi, and M. Ashrafizaadeh, Application of a Ghost Fluid Approach for a Thermal Lattice Boltzmann Method, J. Comput. Phys., vol. 250, pp. 126–140, 2013.
  • X. He, S. Chen, and G. D. Doolen, A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit, J. Comput. Phys., vol. 146, no. 1, pp. 282–300, 1998.
  • G. I. Taylor, Stability of a Viscous Liquid Contained Between Two Rotating Cylinders, Philos. Trans. R. Soc. Lond. Ser. A, vol. 223, pp. 289–343, 1923. (Containing Papers of a Mathematical or Physical Character)
  • M. F. A. Couette, Etudes sur le frottement des liquides, Gauthier-Villars, Paris, France, 1890.
  • D. Yu, R. Mei, L.-S. Luo, and W. Shyy, Viscous Flow Computations with the Method of Lattice Boltzmann Equation, Prog. Aerosp. Sci., vol. 39, no. 5, pp. 329–367, 2003.
  • Q. Zou and X. He, On Pressure and Velocity Boundary Conditions for the Lattice Boltzmann BGK Model, Phys. Fluids, vol. 9, no. 6, p. 1591, 1997.
  • A. D’Orazio and S. Succi, Simulating Two-dimensional Thermal Channel Flows by Means of a Lattice Boltzmann Method with New Boundary Conditions, Future Gener. Comp. Syst., vol. 20, no. 6, pp. 935–944, 2004.
  • G. Imani, M. Maerefat, and K. Hooman, Lattice Boltzmann Simulation of Conjugate Heat Transfer from Multiple Heated Obstacles Mounted in a Walled Parallel Plate Channel, Numer. Heat Transfer A Appl., vol. 62, no. 10, pp. 798–821, 2012.
  • N. Nirmalkar and R. Chhabra, Forced Convection in Power-law Fluids from an Asymmetrically Confined Heated Circular Cylinder, Int. J. Heat Mass Transfer, vol. 55, no. 1, pp. 235–250, 2012.
  • S. Mettu, N. Verma, and R. Chhabra, Momentum and Heat Transfer from an Asymmetrically Confined Circular Cylinder in a Plane Channel, Heat Mass Transfer, vol. 42, no. 11, pp. 1037–1048, 2006.

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