References

• 1. 1)
     • 6. Chen, S., Doolen, G.D.: ‘Lattice Boltzmann method for fluid flows. Annu. Rev. Fluid Mech., 1998, 30, (1), pp. 329–364 (doi: 10.1146/annurev.fluid.30.1.329).
  2. 2)
     • 14. Wu, J., Shu, C.: ‘An improved immersed boundary-lattice Boltzmann method for simulating three-dimensional incompressible flows’, J. Comput. Phys., 2010, 229, pp. 5022–5042 (doi: 10.1016/j.jcp.2010.03.024).
  3. 3)
     • 3. Rivet, J.P., Boon, J.P.: ‘Lattice gas hydrodynamics’ (Cambridge University Press, Cambridge, 2001).
  4. 4)
     • 13. Zhang, J.F., Johnson, P.C., Popel, A.S.: ‘An immersed boundary lattice Boltzmann approach to simulate deformable liquid capsules and its application to microscopic blood flows’, Phys. Biol., 2007, 4, (4), pp. 285–295 (doi: 10.1088/1478-3975/4/4/005).
  5. 5)
     • 12. Dupuis, A., Chatelain, P., Koumoutsakos, P.: ‘An immersed boundary-lattice-Boltzmann method for the simulation of the flow past an impulsively started cylinder’, J. Comput. Phys., 2008, 227, (9), pp. 4486–4498 (doi: 10.1016/j.jcp.2008.01.009).
  6. 6)
     • 17. Yu, D., Mei, R., Luo, L.S., et al: ‘Viscous flow computations with the method of lattice Boltzmann equation’, Prog. Aerosp. Sci., 2003, 39, (5), pp. 329–367 (doi: 10.1016/S0376-0421(03)00003-4).
  7. 7)
     • 7. Succi, S.: ‘The lattice Boltzmann equation for fluid dynamics and beyond’ (Oxford University Press, Oxford, 2001).
  8. 8)
     • 8. Sukop, M.C., Thorne, D.T.: ‘Lattice Boltzmann modeling: an introduction for geoscientists and engineers’ (Springer, Heidelberg, 2007).
  9. 9)
     • 10. Cheng, Y., Zhang, H.: ‘Immersed boundary method and lattice Boltzmann method coupled FSI simulation of mitral leaflet flow’, Comput. Fluids, 2010, 39, (5), pp. 871–881 (doi: 10.1016/j.compfluid.2010.01.003).
  10. 10)
      • 5. McNamara, G., Zanetti, G.: ‘Use of the Boltzmann equation to simulate lattice gas automata’, Phys. Rev. Lett., 1998, 61, (5), pp. 23–32.
  11. 11)
      • 19. Calhoun, D.: ‘A Cartesian grid method for solving the two-dimensional stream function-vorticity equations in irregular regions’, J. Comput. Phys., 2002, 176, pp. 231–275 (doi: 10.1006/jcph.2001.6970).
  12. 12)
      • 2. Rothman, D.H., Zaleski, S.: ‘Lattice-gas cellular automata, simple models of complex hydrodynamics’ (Cambridge University Press, Cambridge, 1997).
  13. 13)
      • 15. Mohammadipoor, O.R., Niazmand, H., Mirbozorgi, S.A.: ‘Alternative curved-boundary treatment for the lattice Boltzmann method and its application in simulation of flow and potential fields’, Phys. Rev. E, 2014, 89, p. 013309 (doi: 10.1103/PhysRevE.89.013309).
  14. 14)
      • 4. Chopard, B., Droz, M.: ‘Cellular automata modeling of physical systems’ (Cambridge University Press, Cambridge, 1998).
  15. 15)
      • 11. Hyakutake, T., Ohkawa, S., Mohri, S., et al: ‘Lattice Boltzmann analysis of microvascular constriction flow including red blood cell and liposome-encapsulated hemoglobin’, Theor. Appl. Mech. Japan, 2008, 56, pp. 215–224.
  16. 16)
      • 9. Zhang, J.F., Johnson, P.C., Popel, A.S.: ‘Red blood cell aggregation and dissociation in shear flows simulated by lattice Boltzmann method’, J. Biomech., 2008, 41, pp. 47–55 (doi: 10.1016/j.jbiomech.2007.07.020).
  17. 17)
      • 1. Succi, S.: ‘The lattice Boltzmann equation for fluid dynamics and beyond’ (Clarendon Press, Oxford, 2001).
  18. 18)
      • 16. Zhu, L., He, G., Wang, S., et al: ‘An immersed boundary method based on the lattice Boltzmann approach in three dimensions with application’, Comput. Math. Appl., 2011, 61, (12), pp. 3506–3518 (doi: 10.1016/j.camwa.2010.03.022).
  19. 19)
      • 18. Kao, P.H., Yang, R.J.: ‘An investigation into curved and moving boundary treatments in the lattice Boltzmann method’, J. Comput. Phys., 2008, 227, (11), pp. 5671–5690 (doi: 10.1016/j.jcp.2008.02.002).