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ARTICLES

Evaluation of force term in lattice Boltzmann method with discrete external boundary force for flow over an immersed body

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Pages 535-548 | Received 13 May 2017, Accepted 14 Jun 2018, Published online: 04 Apr 2019

References

  • Goldstein, D., R. Handler, and L. Sirovich. 1993. Modeling a no-slip flow boundary with an external force field. Journal of Computational Physics 105 (2):354–66.
  • Aidun, C. K., and J. R. Clausen. 2010. Lattice-Boltzmann method for complex flows. Annual Review of Fluid Mechanics 45:439–72. doi:10.1146/annurev-fluid-121108-145519.
  • Aidun, C. K., and Y. Lu. 1995. Lattice-Boltzmann simulation of solid particles suspended in fluid. Journal of Statistical Physics 81 (1–2):49–61.
  • Buick, J. M., and C. A. Greated. 2000. Gravity in a lattice Boltzmann model. Physical Review E61:5307. doi:10.1103/PhysRevE.61.5307.
  • Clausen, J. R., D. A. Reasor, Jr, and C. K. Aidun. 2011. The rheology and microstructure of concentrated non-colloidal suspensions of deformable capsules. Journal of Fluid Mechanics 685:202–34.
  • Dash, S. M., and T. S. Lee. 2014. Natural convection from inclined square cylinder using novel flexible forcing IB-LBM approach. Engineering Applications of Computational Fluid Mechanics 8 (1):91–103.
  • Feng, Z., and E. Michaelides. 2004. The immersed boundary-lattice Boltzmann method for solving fluid–particles interaction problems. Journal of Computational Physics 195 (2):602.
  • Ginzburg, I., and D. d’Humieres. 2003. Multi reflection boundary conditions for lattice Boltzmann models. Physical Review E 68 (6):066614.
  • Glowinski, R., T. Pan, T. Hesla, D. Joseph, and J. Periaux. 2001. A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: Application to particulate flow. Journal of Computational Physics 169 (2):363–426.
  • Guo, Z., C. Zheng, and B. Shi. 2002. Discrete lattice effects on the forcing term in the lattice Boltzmann method. Physical Review E 65 (4):046308.
  • Haddadi, H., and J. F. Morris. 2014. Microstructure and rheology of finite inertia neutrally buoyant suspensions. Journal of Fluid Mechanics 749:431–59.
  • Han, Y., and P. A. Cundall. 2011. Resolution sensitivity of momentum-exchange and immersed boundary methods for solid-fluid interaction in the lattice Boltzmann method. International Journal for Numerical Methods in Fluids 67 (3):314–27.
  • He, X., X. Shan, and G. D. Doolen. 1998. Discrete Boltzmann equation model for nonideal gases. Physical Review E 57 (1):R13.
  • Hofler, K., and S. Schwarzer. 2000. Navier–stokes simulation with constraint forces: Finite-difference method for particle-laden flows and complex geometries. Physical Review E 61 (6):7146–60.
  • Inamuro, T., K. Maeba, and F. Ogino. 2000. Flow between parallel walls containing the lines of neutrally buoyant circular cylinders. International Journal of Multiphase Flow 26 (12):1981–2004.
  • Inamuro, T., M. Yoshino, and F. Ogino. 1995. A non-slip boundary condition for lattice Boltzmann method. Physics of Fluids 7:2928–30. doi:10.1063/1.868766.
  • Ladd, A. J. C. 1994. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. 1994. Part 1. Theoretical foundation. Journal of Fluid Mechanics 271:285.
  • Ladd, A. J. C. 1994. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results. Journal of Fluid Mechanics 271:286–339. doi:10.1017/S0022112094001783.
  • Ladd, A. J. C., and R. Verberg. 2001. Lattice-Boltzmann simulation of particle–fluid suspensions. Journal of Statistical Physics 104 (5/6):1191.
  • Luo, L. S. 1993. Lattice-Gas Automata and Lattice Boltzmann Equations for Two-Dimensional Hydrodynamics. Ph.D., thesis, Georgia Institute of Technology
  • Martys, N. S., X. Shan, and H. Chen. 1998. Evaluation of the external force term in the discrete Boltzmann equation. Physical Review E 58 (5):6855.
  • Mohamad, A. A., and A. Kuzmin. 2010. A critical evaluation of force term in lattice Boltzmann method, natural convection problem. International Journal of Heat and Mass Transfer 53 (5–6):990–9.
  • Niu, X. D., C. Shu, Y. T. Chew, and Y. Peng. 2006. A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating incompressible viscous flows. Physics Letters A 354 (3):173–82.
  • Noble, D. R., and J. R. Torczynski. 1998. A lattice Boltzmann method for partially saturated computational cells. International Journal of Modern Physics C 9 (8):1189–201.
  • Peskin, C. S. 1977. Numerical analysis of blood flow in the heart. Journal of Computational Physics 25 (3):220–52.
  • Peskin, C. S. 2002. The immersed boundary method. ActaNumerica 11:479. doi:10.1017/S0962492902000077.
  • Qian, Y. H., D. D'Humières, and P. Lallemand. 1992. Lattice BGK model for Navier–Stokes equation. Europhysics Letters (Epl) 17 (6):479–84.
  • Schäfer, M., and S. Turek. 1996. Benchmark computations of laminar flow around a cylinder. In Notes in numerical fluid mechanics: flow simulations with high performance computers II, ed. E. H. Hirschel, 52006–66. Braunschweig, Germany: Vieweg.
  • Shan, X., and H. Chen. 1994. Simulation of nonideal gases and gas–liquid phase transitions by the lattice Boltzmann equation. Physical Review E 49 (4):2941–8.
  • Suzuki, K., and T. Inamuro. 2011. Effect of internal mass in the simulation of a moving body by the immersed boundary method. Computers and Fluids 49 (1):173–87.
  • Uhlmann, M. 2005. An immersed boundary method with direct forcing for the simulation of particulate flows. Journal of Computational Physics 209 (2):448–76.
  • Wan, D., and S. Turek. 2007. An efficient multigrid-FEM method for the simulation of solid–liquid two phase flows. The Journal of Computational and Applied Mathematics 203 (2):561–80.
  • Wang, Z., J. Fan, and K. Luo. 2008. Combined multi-direct forcing and immersed boundary method for simulating flows with moving particles. International Journal of Multiphase Flow 34 (3):283–302.
  • Wu, J., and C. K. Aidun. 2010. Simulating 3D deformable particle suspensions using lattice Boltzmann method with discrete external boundary force. International Journal for Numerical Methods in Fluids 62:765–83. doi:10.1002/fld.2043.
  • Yu, D., R. Mei, L. Luo, and W. Shyy. 2003. Viscous flow computations with the method of lattice Boltzmann equation. Progress in Aerospace Sciences 39 (5):329.
  • Zou, Q., and X. He. 1997. On pressure and velocity boundary conditions for the lattice Boltzmann BGK model. Physics of Fluids 9 (6):1591–8.

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