Nuclear Engineering and Technology

  • 제41권5호
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  • Pages.649-654
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  • 2009
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  • 1738-5733(pISSN)
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  • 2234-358X(eISSN)
한국원자력학회 (Korean Nuclear Society)
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FINITE ELEMENT BASED FORMULATION OF THE LATTICE BOLTZMANN EQUATION

  • Jo, Jong-Chull (Korea Institute of Nuclear Safety) ;
  • Roh, Kyung-Wan (Korea Institute of Nuclear Safety) ;
  • Kwon, Young-W. (Naval Postgraduate School)
  • 발행 : 2009.06.30
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초록

The finite element based lattice Boltzmann method (FELBM) has been developed to model complex fluid domain shapes, which is essential for studying fluid-structure interaction problems in commercial nuclear power systems, for example. The present study addresses a new finite element formulation of the lattice Boltzmann equation using a general weighted residual technique. Among the weighted residual formulations, the collocation method, Galerkin method, and method of moments are used for finite element based Lattice Boltzmann solutions. Different finite element geometries, such as triangular, quadrilateral, and general six-sided solids, were used in this work. Some examples using the FELBM are studied. The results were compared with both analytical and computational fluid dynamics solutions.

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참고문헌

  1. S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, Clarendon Press, Oxford, New York, 2001
  2. Y. W. Kwon, “Development of coupling technique for LBM and FEM for FSI application”, Engineering Computations, 23(8), 2006, 860-875 https://doi.org/10.1108/02644400610707766
  3. H. Chen, “Volumetric formulation of the lattice Boltzmann method for fluid dynamics: Basic concept”, Phys. Rev. E., 1998, 3955 https://doi.org/10.1103/PhysRevE.58.3955
  4. G. Peng, H. Xi, C. Duncan, and S.-H. Chou, “Lattice Boltzmann method on irregular meshes”, Phys. Rev. E 58, 1998, R4124-R4127 https://doi.org/10.1103/PhysRevE.58.R4124
  5. X. He, L.-S. Luo, and M. Dembo, “Some progress in lattice Boltzmann method. Part I. Nonuniform mesh grids”, Journal of Computational Physics, 129, 1996, 357-363 https://doi.org/10.1006/jcph.1996.0255
  6. T. Lee and C.-L. Lin, “A characteristic Galerkin method for discrete Boltzmann equation”, Journal of Computational Physics, 171, 2001, 336-356 https://doi.org/10.1006/jcph.2001.6791
  7. Y. Li, E. J. LeBoeuf, and P. K. Basu, “Least-squares finiteelement lattice Boltzmann method”, Phys. Rev. E 69, 2004, 065701-1 – 065701-4 https://doi.org/10.1103/PhysRevE.69.065701
  8. Y. W. Kwon and H. Bang, The Finite Element Method Using Matlab, 2nd ed., CRC Press, Boca Raton, Florida 2000
  9. P. Bhatnagar, E. P. Gross, E. P., and M. K. Krook, “A model for collision process in gases. I: small amplitude processes in charged and neutral one-component system”, Phys. Rev., 94, 1954, 511-525 https://doi.org/10.1103/PhysRev.94.511
  10. U. Ghia, K. N. Ghia, and C. T. Shin, “High-Re Solutions for Incompressible flow using the Navier-Stokes equations and a multigrid method”, Journal of Computational Physics, 48, 1982, 387-411 https://doi.org/10.1016/0021-9991(82)90058-4