Browse > Article
http://dx.doi.org/10.5293/kfma.2012.15.3.012

Stress Based Node Refill Model for Lattice-Boltzmann Method on Fluid-Structure Interaction Problems  

Shin, Jae-Ho (한양대학교 기계공학과 대학원)
Lee, Sang-Hwan (한양대학교 기계공학부)
Lee, Ju-Hee (호서대학교 메카트로닉스공학과)
Publication Information
The KSFM Journal of Fluid Machinery / v.15, no.3, 2012 , pp. 12-18 More about this Journal
Abstract
The Lattice Boltzmann Method has developed for solving the Boltzmann equation in Cartesian domains containing immersed boundaries of arbitrary geometrical complexity moving with prescribed kinematics. When a immersed boundaries are sweeping the fixed fluid node, refilling the node information in a vicinity of fluid nodes is one of the important issues in Lattice Boltzmann Method. In this study, we propose a simple refill algorithm for the particle distribution function based on a proper velocity, density and strain rate to enhance accuracy and stability of the method. The refill scheme based on a asymptotic analysis of LBGK model has improved accuracy than interpolation schemes. The proposed scheme in this study is validated by the simulations of an impulsively started rotating circular cylinder to investigate adaptability for fluid-structure interaction (FSI) problem. This refill scheme has improved stability and accuracy especially at high Reynolds number region.
Keywords
Lattice Boltzmann Method; Node Refill Model; Fluid-Structure Interaction;
Citations & Related Records
연도 인용수 순위
  • Reference
1 C. Binder, C. Feichtinger, H. J. Schmid, N. Thurey, W. Peukert, and U. Rude, 2006, "Simulation of the hydrodynamic drag of aggregated particles," Journal of Colloid and Interface Science, Vol. 301, pp. 155-167.   DOI
2 M. Coutanceau and C. Menard, 1985, "Influence of Rotation on the near-Wake Development Behind an Impulsively Started Circular-Cylinder," Journal of Fluid Mechanics, Vol. 158, pp. 399-446.   DOI
3 I. Ginzburg, F. Verhaeghe, and D. d'Humieres, 2008, "Two-relaxation-time Lattice Boltzmann scheme: About parametrization, velocity, pressure and mixed boundary conditions," Communications in Computational Physics, Vol. 3, pp. 427-478.
4 D. d'Humieres, I. Ginzburg, M. Krafczyk, P. Lallemand, and L. S. Luo, 2002, "Multiple-relaxation-time lattice Boltzmann models in three dimensions," Philosophical Transactions of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences, Vol. 360, pp. 437-451.   DOI
5 S. Y. Chen, H. D. Chen, D. Martinez, and W. Matthaeus, 1991, "Lattice Boltzmann Model for Simulation of Magnetohydrodynamics," Physical Review Letters, Vol. 67, pp. 3776-3779.   DOI   ScienceOn
6 Y. H. Qian, D. Dhumieres, and P. Lallemand, 1992, "Lattice Bgk Models for Navier-Stokes Equation," Europhysics Letters, Vol. 17, pp. 479-484.   DOI   ScienceOn
7 H. Liu and K. Kawachi, 1999, "A numerical study of undulatory swimming," Journal of Computational Physics, Vol. 155, pp. 223-247.   DOI   ScienceOn
8 R. Glowinski, T. W. Pan, T. I. Hesla, and D. D. Joseph, 1999, "A distributed Lagrange multiplier fictitious domain method for particulate flows," International Journal of Multiphase Flow, Vol. 25, pp. 755-794.   DOI   ScienceOn
9 P. L. Bhatnagar, E. P. Gross, and M. Krook, 1954, "A Model for Collision Processes in Gases. 1. Small Amplitude Processes in Charged and Neutral One- Component Systems," Physical Review, Vol. 94, pp. 511-525.   DOI
10 R. W. Mei, L. S. Luo, and W. Shyy, 1999, "An accurate curved boundary treatment in the lattice Boltzmann method," Journal of Computational Physics, Vol. 155, pp. 307-330.   DOI
11 P. Lallemand and L. S. Luo, 2003, "Lattice Boltzmann method for moving boundaries," Journal of Computational Physics, Vol. 184, pp. 406-421.   DOI
12 J. Lee and S. Lee, 2010, "Boundary treatment for the lattice Boltzmann method using adaptive relaxation times," Computers & Fluids, Vol. 39, pp. 900-909.   DOI
13 M. Bouzidi, M. Firdaouss, and P. Lallemand, 2001, "Momentum transfer of a Boltzmann-lattice fluid with boundaries," Physics of Fluids, Vol. 13, pp. 3452-3459.   DOI   ScienceOn
14 A. Caiazzo, 2008, "Analysis of lattice Boltzmann nodes initialisation in moving boundary problems," Progress in Computational Fluid Dynamics, Vol. 8, pp. 3-10.   DOI