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SIMULATION OF FREE SURFACE FLOW OVER TRAPEZOIDAL OBSTACLE WITH LATTICE BOLTZMANN METHOD

격자볼츠만법을 이용한 장애물 월반 자유수면 시뮬레이션

  • Korkmaz, Emrah (School of Naval Architecture and Ocean Engineering, University of Ulsan) ;
  • Jung, Rho-Taek (School of Naval Architecture and Ocean Engineering, University of Ulsan)
  • Received : 2014.03.03
  • Accepted : 2014.05.29
  • Published : 2014.06.30

Abstract

An air-water free surface flow simulation by using the Lattice Boltzmann Method(LBM) has not been studied a lot compared with the done by the Navier-Stoke equation. This paper shows the LBM is as one of the application tools for the free surface movement over an obstacle. The Mezo scaled application tool has been developed with two dimensional and nine discretized velocity direction using conventional lattice Bhatnagar-Gross-Krook model. Boundary conditions of a halfway-based for solid wall and a kinematic-based for interface are adopted. A validation case with a trapezoidal shape bump to make a comparison between freesurface movements from computational results and experimental ones was described with grid size dependency.

Keywords

References

  1. 1988, McNamara, G. R. and Zanetti, G., "Use of the Boltzmann Equation to Simulate Lattice-Gas Automata," Physical Review Letters, 61(20), pp.2332-2335. https://doi.org/10.1103/PhysRevLett.61.2332
  2. 2008, Mazzeo, M. D. and Coveney, P.V., "A High Per- formance Parallel Lattice-Boltzmann Code for Large Scale Fluid Flow in Complex Geometries," Compute Physics Communications, 178, pp.894-914. https://doi.org/10.1016/j.cpc.2008.02.013
  3. 1995, Inamuro, T., Yoshino, M. and Ogino, F., "A Non-slip Boundary Condition for Lattice Boltzmann Simulations," Physics of Fluids, 7, 2928-2930. https://doi.org/10.1063/1.868766
  4. 2001, Bouzidi, M., Firdaouss, M. and Lallemand, P., "Momentum Transfer of a Boltzmann-Lattice Fluid with Boundaries," Physics of Fluids, 13(11), pp.3452-3459. https://doi.org/10.1063/1.1399290
  5. 1997, Filippova, O. and Hanel, D., "Lattice- Boltzmann Simulation of Gas Particle Flow in Filters," Computers & Fluids, 26(7), pp.697-712. https://doi.org/10.1016/S0045-7930(97)00009-1
  6. 2009, Cruchaga, M.A., Celentano, D.J. and Tezduyar, T.E., "Computational Modeling of the Collapse of a Liquid Column Over an Obstacle and Experimental Validation," Journal of Applied Mechanics, 76, pp.021202-1-021202-5. https://doi.org/10.1115/1.3057439
  7. 1954, Bhatnagar, P.L., Gross, E.P. and Krook, M., "A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems," Physical Review, 94(3), pp.511-525. https://doi.org/10.1103/PhysRev.94.511
  8. 1997, He, X. and Luo, L.S., "A Priori Derivation of the Lattice Boltzmann Equation," Physical Review E, 55(6), pp.R6333-R6336. https://doi.org/10.1103/PhysRevE.55.R6333
  9. 1997, He, X. and Luo, L.S., "Lattice Boltzmann Model for the Incompressible Navier-Stokes Equation," Journal of Statistical Physics, 88, pp.927-944. https://doi.org/10.1023/B:JOSS.0000015179.12689.e4
  10. 1994, Ladd, A.J.C., "Numerical Simulation of Particular Suspensions via a Discretized Boltzmann Equation Part 2," Numerical Results. J. Fluid Mechanics, 271, pp.311-339.
  11. 1993, Ziegler, D.P., "Boundary Conditions for Lattice Boltzmann Simulations," Journal of Statistical Physics, 71(5/6), pp.1171-1177. https://doi.org/10.1007/BF01049965
  12. 2007, Thurey, N., "Physically based Animation of Free Surface Flows with the Lattice Boltzmann Method," PhD thesis.