1. Clift R., Grace J.R., 1978, Weber M.E., Bubbles, drops, and particles, New York: Academic Press.
2. Bhaga D., Weber M.E., 1981, Bubbles in viscous liquids: shapes, wakes and velocities, J Fluid Mech 105: 61-85.
3. Grace J.R., Wairegi T., Nguyen T.H., 1976, Shapes and velocities of single drops and bubbles moving freely through immiscible liquids,  Trans. Inst. Chem. Eng 54(3): 167-173.
4. Watanabe H., Suzuki M., Ito N., 2013, Huge-scale molecular dynamics simulation of multibubble nuclei, Computer Physics Communications 184(12): 2775-2784.
5. Balcázar N., Lehmkuhl O., Jofre L., Oliva A., 2015, Level-set simulations of buoyancy-driven motion of single and multiple bubbles, International Journal of Heat and Fluid Flow 56: 91-107.
6. Islam M.T., Ganesan P., Cheng J., 2015, A pair of bubbles’ rising dynamics in a xanthan gum solution: a CFD study, Rsc Advances 5(11): 7819-7831.
7. Hassanzadeh A., Pourmahmoud N., Dadvand A., 2017, Numerical simulation of motion and deformation of healthy and sick red blood cell through a constricted vessel using hybrid lattice Boltzmann-immersed boundary method, Computer methods in Biomechanics and Biomedical engineering 20(7): 737–749.
8. Hassanzadeh A., Pourmahmoud N., Dadvand A., 2018, Numerical simulation of red blood cell motion and deformation using improved lattice Boltzmann-immersed boundary method", Iran J Sci Technol Trans Mech Eng, (In Press), DOI 10.1007/s40997-017-0112-2.
9. Ghafouri A., Hassanzadeh A., 2017, Numerical study of red blood cell motion and deformation through a michrochannel using lattice Boltzmann-immersed boundary method. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39(6): 1873-1882.

10. Dadvand A., 2016, Simulation of the motion of two elastic membranes in Poiseuille shear flow via a combined immersed boundary-lattice Boltzmann method. Journal of Computational Science 12: 51-61.

11. Dadvand A., 2018, Effects of deformability of RBCs on their dynamics and blood flow passing through a stenosed microvessel: an immersed boundary-lattice Boltzmann approach, Theoretical and Computational Fluid Dynamics, 32(1): 91-107.

12. Gunstensen K., Rothman D.H., Zaleski S., Zanetti G., 1991, Lattice Boltzmann model of immiscible fluids, Physical Review A 43(8): p. 4320.

13. Grunau D., Chen S., Eggert K., 1993, A lattice Boltzmann model for multiphase fluid flows, Phys. Fluids A 5(10): p. 2557.

14. Shan X., Chen H., 1993, Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E 47(3): p. 1815.

15. Shan X., Chen H., 1994, Simulation of non-ideal gases and liquid–gas phase transitions by the lattice Boltzmann equation, Phys. Rev. E 49: p. 2941.

16. Shan X., Doolen G.D., 1995, Multicomponent lattice-Boltzmann model with interparticle interaction, J. Stat. Phys. 81: 379-393.

17. Shan X., Doolen G., 1996, Diffusion in a multicomponent lattice Boltzmann equation model, Phys. Rev. E 54(4): p. 3614.

18. Swift M.R., Osborn W.R., Yeomans J.M., 1995, Lattice Boltzmann simulation of nonideal fluids, Phys. Rev. Lett. 75(5): p. 830.

19. Swift M.R., Orlandini E., Osborn W.R., Yeomans J.M., 1996, Lattice Boltzmann simulation of liquid–gas and binary-fluid system, Phys. Rev. E 54(5): p. 5041.

20. Orlandini E., Swift M.R., Yeomans J.R., 1995, A Lattice Boltzmann Model of Binary-Fluid Mixtures, Europhys. Lett. 32 (6): 463-468.

21. He X., Shan X., Doolen G.D., 1998, A discrete Boltzmann equation model for non-ideal gases, Phys. Rev. E 57(1): p. R13.

22. He X., Chen S., 1999, Zhang R., A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh–Taylor instability, J. Comput. Phys. 152(2): 642–663.

23. He X., Zhang R., Chen S., Doolen G.D., 1999, On three-dimensional Rayleigh– Taylor instability, Phys. Fluids 11(5): p. 1143.

24. Zhang R., He X., Chen S., 2000, Interface and surface tension in incompressible lattice Boltzmann multiphase model, Comput. Phys. Commun. 129: 121–130.

25. Zhang R., He X., Doolen G., Chen S., 2001, Surface tension effects on two-dimensional two-phase Kelvin-Helmholtz instabilities, Advances in Water Resources 24: 461-478.

26. Zhang R., 2000, Lattice Boltzmann approach for immiscible multiphase flow, Ph.D. thesis, University of Delaware.

27. Inamuro T., Ogata T., Tajima S., Konishi N., 2004, lattice Boltzmann method for incompressible two-phase flows with large density differences, J. Com. Phy.198: 628–644.

28. Lee T., Lin C.L., 2005, A stable discretization of the lattice Boltzmann equation for simulation of in compressible two-phase flows at high density ratio, J. Com. Phy. 206: 16–47.

29. Zheng H.W., Shu C., Chew Y.T., 2006, A lattice Boltzmann for multiphase flows with large density ratio, J. Com. Phy. 218: 353–371.

30. Takada N., Misawa M., A. Tomiyama, S. Hosokawa, 2001, Simulation of bubble motion under gravity by lattice Boltzmann method, Journal of Nuclear Science and Technology 38(5): 330–341.

31. Gupta A., Kumar R., 2008, Lattice Boltzmann simulation to study multiple bubble dynamics, International Journal of Heat and Mass Transfer 51(21-22): 5192–5203.

32. Cheng M., Hua J., Lou J., 2010, Simulation of bubble–bubble interaction using a lattice Boltzmann method, Computers & Fluids 39: 260–270.

33. Yu Z., Yang H., Fan L.S., 2011, Numerical simulation of bubble interactions using an adaptive lattice Boltzmann method, Chemical Engineering Science 66(14): 3441–3451.

34. Shu S., Yang N., 2013, Direct Numerical Simulation of Bubble Dynamics Using Phase-Field Model and Lattice Boltzmann Method, Industrial & Engineering Chemistry Research 52: 11391−11403.

35. Lee T., Fischer P.F., 2006, Eliminating parasitic currents in the lattice Boltzmann equation method for nonideal gases, Phys. Rev. E 74: No. 046709.

36. Lee T., Liu L., 2008, Wall boundary conditions in the lattice Boltzmann equation method for non-ideal gases, Physical  Review E 78: No. 017702.

37. Lee T., 2009, Effects of incompressibility on the elimination of parasitic currents in the lattice Boltzmann equation method for binary fluids, Comput. Math. Appl. 58: 987–994.

38. Lee T., Liu L., 2010, Lattice Boltzmann simulations of micron-scale drop impact on dry surfaces, J. Com. Phy. 229: 8045-8063.

39. Amaya-Bower L., Lee T., 2010, Single bubble rising dynamics for moderate Reynolds number using Lattice Boltzmann Method, Computers & Fluids 39: 1191–1207.

40. Amaya-Bower L., Lee T., 2011, Numerical simulation of single bubble rising in vertical and inclined square channel using lattice Boltzmann method, Chemical Engineering Science 66: 935–952.

41. Taghilou M., Rahimian M.H., 2014, Investigation of two-phase flow in porous media using lattice Boltzmann method, Computers and Mathematics with Applications 67: 424–436.

42. Mirzaie Daryan H.M., Rahimian M.H., 2015, Numerical Simulation of Single Bubble Deformation in Straight Duct and 90˚ Bend Using Lattice Boltzmann Method, Journal of Electronics Cooling and Thermal Control 5: 89-118.

43. Haghani R., Rahimian M.H., 2016, Four different types of a single drop dripping down a hole under gravity by lattice Boltzmann method, Journal of Computational Applied Mechanics 47(1): 89-98.

44. Farokhirad S., Morris J.F., Lee T., 2015, Coalescence-induced jumping of droplet: Inertia and viscosity effects, Physics of Fluids 27(10).

45. Fakhari A., Bolster D., 2017, Diffuse interface modeling of three-phase contact line dynamics on curved boundaries: A lattice Boltzmann model for large density and viscosity ratios. Journal of Computational Physics 334: 620-638.

46. Jain P.K., A. Tentner, Rizwan-uddin, 2009, A lattice Boltzmann framework to simulate boiling water reactor core hydrodynamics, Computers and Mathematics with Applications 58: 975-986.

47. Xing X.Q., Butler D.L., Ng S.H., Wang Z., Danyluk S., Yang C., 2007, Simulation of droplet formation and coalescence using lattice Boltzmann-based single-phase model, Journal of Colloid and Interface Science 311: 609–618.