Numerical simulation of compressible flows by lattice Boltzmann method

References

• R. Sadeghi and M.H. Rahimian, “Simulation of bubble sonoluminescing phenomena with lattice Boltzmann method,” Modares Mech. Eng., vol. 15, pp. 383–391, 2015.
   Google Scholar
• G. Li, M. Aktas, and Y. Bayazitoglu, “A review on the discrete Boltzmann model for nanofluid heat transfer in enclosures and channels,” Numer. Heat Transf. B: Fundament, vol. 67, no. 6, pp. 463–488, 2015. DOI: 10.1080/10407790.2014.992089.
   Web of Science ®Google Scholar
• M. Hussain and W.-Q. Tao, “Numerical prediction of effective thermal conductivity of ceramic fiber board using lattice Boltzmann method,” Numer. Heat Transf. A Appl., vol. 74, no. 6, pp. 1–16, 2018.
   Web of Science ®Google Scholar
• A. Tarokh, A. Mohamad, and L. Jiang, “Simulation of conjugate heat transfer using the lattice Boltzmann method,” Numer. Heat Transf. A Appl., vol. 63, no. 3, pp. 159–178, 2013. DOI: 10.1080/10407782.2012.725009.
   Web of Science ®Google Scholar
• V. Abdollahi and A. Nejat, “Compressible fluid flow simulation using finite difference lattice Boltzmann method,” in ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, pp. 7–16, 2010.
   Google Scholar
• R. Sadeghi, M.S. Shadloo, and K. Hooman, “Numerical investigation of the natural convection film boiling around elliptical tubes,” Numer. Heat Transf. A Appl., vol. 70, no. 7, pp. 707–722, 2016. DOI: 10.1080/10407782.2016.1214484.
   Web of Science ®Google Scholar
• L. Yang, C. Shu, and J. Wu, “A moment conservation-based non-free parameter compressible lattice boltzmann model and its application for flux evaluation at cell interface,” Comput. Fluids, vol. 79, pp. 190–199, 2013. DOI: 10.1016/j.compfluid.2013.03.020.
   Web of Science ®Google Scholar
• H. Huang, M. Sukop, and X. Lu, Multiphase Lattice Boltzmann Methods: Theory and Application. West Sussex: John Wiley & Sons, 2015.
   Google Scholar
• R. Sadeghi, M. Safdari Shadloo, M.Y. Abdollahzadeh Jamalabadi, and A. Karimipour, “A three-dimensional lattice Boltzmann model for numerical investigation of bubble growth in Pool boiling,” Int. Commun. Heat Mass Transf., vol. 79, pp. 58–66, 2016. DOI: 10.1016/j.icheatmasstransfer.2016.10.009.
   Web of Science ®Google Scholar
• R. Sadeghi and M. Shadloo, “Three-dimensional numerical investigation of film boiling by the lattice Boltzmann method,” Numer. Heat Transf. A Appl., vol. 71, no. 5, pp. 560–574, 2017. DOI: 10.1080/10407782.2016.1277936.
   Web of Science ®Google Scholar
• D. Thorne and C. Michael, Lattice Boltzmann Modeling. An Introduction for Geoscientists and Engineers, 2nd ed. New York: Springer, 2006.
   Google Scholar
• M.R. Safaei, A. Karimipour, A. Abdollahi, and T.K. Nguyen, “The investigation of thermal radiation and free convection heat transfer mechanisms of nanofluid inside a shallow cavity by lattice Boltzmann method,” Phys. A Stat. Mech. Appl., vol. 509, pp. 515–535, 2018. DOI: 10.1016/j.physa.2018.06.034.
   Google Scholar
• M. Goodarzi, A. D’Orazio, A. Keshavarzi, S. Mousavi, and A. Karimipour, “Develop the nano scale method of lattice Boltzmann to predict the fluid flow and heat transfer of air in the inclined lid driven cavity with a large heat source inside, Two case studies: Pure natural convection & mixed convection,” Phys. A Stat. Mech. Appl., vol. 509, pp. 210–233, 2018.
   PubMedGoogle Scholar
• R. Sadeghi, M. Shadloo, M. Hopp-Hirschler, A. Hadjadj, and U. Nieken, “Three-dimensional lattice Boltzmann simulations of high density ratio two-phase flows in porous media,” Comput. Math. Appl., vol. 75, no. 7, pp. 2445–2465, 2018.
   Google Scholar
• C. Feng, X. Ai-Guo, Z. Guang-Cai, and L. Ying-Jun, “Three-dimensional lattice Boltzmann model for high-speed compressible flows,” Commun. Theor. Phys., vol. 54, pp. 1121, 2010.
   Web of Science ®Google Scholar
• F.J. Alexander, S. Chen, and J. Sterling, “Lattice Boltzmann thermohydrodynamics,” Phys. Rev. E, vol. 47, no. 4, pp. R2249, 1993. DOI: 10.1103/PhysRevE.47.R2249.
   Web of Science ®Google Scholar
• Y. Guangwu, C. Yaosong, and H. Shouxin, “Simple lattice Boltzmann model for simulating flows with shock wave,” Phys. Rev. E, vol. 59, no. 1, pp. 454, 1999. DOI: 10.1103/PhysRevE.59.454.
   Web of Science ®Google Scholar
• W. Shi, W. Shyy, and R. Mei, “Finite-difference-based lattice Boltzmann method for inviscid compressible flows,” Numer. Heat Transf. B Fundament., vol. 40, pp. 1–21, 2001.
   Web of Science ®Google Scholar
• T. Kataoka and M. Tsutahara, “Lattice Boltzmann method for the compressible Euler equations,” Phys. Rev. E, vol. 69, pp. 056702, 2004.
   Web of Science ®Google Scholar
• M. Watari and M. Tsutahara, “Two-dimensional thermal model of the finite-difference lattice Boltzmann method with high spatial isotropy,” Phys. Rev. E, vol. 67, pp. 036306, 2003.
   Web of Science ®Google Scholar
• M. Watari, “Finite difference lattice Boltzmann method with arbitrary specific heat ratio applicable to supersonic flow simulations,” Phys. A Stat. Mech. Appl., vol. 382, no. 2, pp. 502–522, 2007. DOI: 10.1016/j.physa.2007.03.037.
   Google Scholar
• Q. Li, Y. He, Y. Wang, and G. Tang, “Three-dimensional non-free-parameter lattice-Boltzmann model and its application to inviscid compressible flows,” Phys. Lett. A, vol. 373, no. 25, pp. 2101–2108, 2009. DOI: 10.1016/j.physleta.2009.04.036.
   Web of Science ®Google Scholar
• X. Pan, A. Xu, G. Zhang, and S. Jiang, “Lattice Boltzmann approach to high-speed compressible flows,” Int. J. Modern Phys. C, vol. 18, no. 11, pp. 1747–1764, 2007. DOI: 10.1142/S0129183107011716.
   Web of Science ®Google Scholar
• T. Kataoka and M. Tsutahara, “Lattice Boltzmann model for the compressible Navier–Stokes equations with flexible specific-heat ratio,” Phys. Rev. E, vol. 69, pp. 035701, 2004.
   Web of Science ®Google Scholar
• M. Shadloo and A. Hadjadj, “Laminar-turbulent transition in supersonic boundary layers with surface heat transfer: A numerical study,” Numer. Heat Transf. A Appl., vol. 72, no. 1, pp. 40–53, 2017. DOI: 10.1080/10407782.2017.1353380.
   Web of Science ®Google Scholar
• S. Sharma, M. Shadloo, and A. Hadjadj, “Laminar-to-turbulent transition in supersonic boundary layer: Effects of initial perturbation and wall heat transfer,” Numer. Heat Transf. A Appl., vol. 73, no. 9, pp. 1–21, 2018.
   Web of Science ®Google Scholar
• P.L. Bhatnagar, E.P. Gross, and M. Krook, “A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems,” Phys. Rev., vol. 94, no. 3, pp. 511, 1954. DOI: 10.1103/PhysRev.94.511.
   Web of Science ®Google Scholar
• C. Feng, X. Ai-Guo, Z. Guang-Cai, G. Yan-Biao, C. Tao, and L. Ying-Jun, “Highly efficient lattice Boltzmann model for compressible fluids: Two-dimensional case,” Commun. Theor. Phys., vol. 52, no. 4, pp. 681, 2009. DOI: 10.1088/0253-6102/52/4/25.
   Web of Science ®Google Scholar
• Y. Gan, A. Xu, G. Zhang, X. Yu, and Y. Li, “Two-dimensional lattice Boltzmann model for compressible flows with high Mach number,” Phys. A Stat. Mech. Appl., vol. 387, no. 8–9, pp. 1721–1732, 2008. DOI: 10.1016/j.physa.2007.11.013.
   Google Scholar
• http://amroc.sourceforge.net/examples/euler/2d/html/shbubble_n.htm
   Google Scholar