References¶
These references summarize the key research and methods underlying M-Star’s CFD framework. See also Validation.
Modeling Methods and Physics¶
Fluid Mechanics¶
Kresta, S., Etchells, A., et al., eds. “Advances in Industrial Mixing,” North American Mixing Forum: Wiley, 2015.
Morrison, F. “An Introduction to Fluid Mechanics,” Cambridge: Cambridge University Press, 2013.
Paul, E., Atiemo-Obeng, V., Kresta, S., eds. “Handbook of Industrial Mixing,” North American Mixing Forum: Wiley-Interscience, 2003.
Pope, S. “Turbulent Flows,” Cambridge: Cambridge University Press, 2000.
Lattice Boltzmann¶
Guo, Z. and Shu, C. “Lattice Boltzmann Method and Its Applications in Engineering,” New Jersey: World Scientific, 2013.
Huidan, Y., Girimaji, S., and Luo, L. “DNS and LES of decaying isotropic turbulence with and without frame rotation using lattice Boltzmann method,” Journal of Computational Physics, 209(2): 599–616, 2005.
Kruger, T., Kusumaatmaja, H., Kuzmin, A., Shardt, O., Silva, G., and Viggen, E. “The lattice Boltzmann method: principles and practice,” Switzerland: Springer, 2017.
Succi, S. “The Lattice Boltzmann Equation for Fluid Dynamics and Beyond,” Oxford: Oxford University Press, 2001.
Sukop, M., and Thorne, D. “Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers,” Heidelberg: Springer, 2005.
Cumulant/ILES¶
Geier, M., Pasquali, A., Schonherr, M. “Parametrization of the cumulant lattice Boltzmann method for fourth order accurate diffusion part I: Derivation and validation,” Journal of Computational Physics, 348: 862–888, 2017.
Geier, M., Pasquali, A., Schonherr, M. “Parametrization of the cumulant lattice Boltzmann method for fourth order accurate diffusion part II: Application to flow around a sphere at drag crisis,” Journal of Computational Physics, 348: 889–898, 2017.
Geier, M., Schonherr M., Pasquali A., and Krafczyk M. “The cumulant lattice Boltzmann equation in three dimensions: Theory and validation,” Computers & Mathematics with Applications, 70(4): 507–547, 2015.
Immersed Boundary¶
Feng, Z., and Michaelides, E. “The immersed boundary–lattice Boltzmann method for solving fluid–particles interaction problems,” Journal of Computational Physics, 195(2): 602–628, 2005.
Peskin, C. “The immersed boundary method,” Acta Numerica, 11: 479–517, 2002.
Multiphase (Free Surface and Immiscible)¶
Brackbill, J., Kothe, D., and Zemach, C. “A continuum method for modeling surface tension,” Journal of Computational Physics, 100(2): 335–354, 1992.
Jain, S. “Accurate conservation phase-field method for simulation of two-phase flows,” Journal of Computational Physics, 469: 111529, 2022.
Korner, C., Thies, M., Hofmann, T., Thurey, N., and Rude, U. “Lattice Boltzmann Model for Free Surface Flow for Modeling Foaming,” Journal of Statistical Physics, 121: 179–196, 2005.
Sitompul, Y., Aoki, T. “A filtered cumulant lattice Boltzmann method for violent two-phase flows,” Journal of Computational Physics, 390: 93-120, 2019.
Non-Newtonian¶
Chiyu, X., Jianying, Z., Bertola, V., and Moran, W. “Lattice Boltzmann modeling for multiphase viscoplastic fluid flow,” Journal of Non-Newtonian Fluid Mechanics, 234: 118–128, 2016.
Particles¶
Rettinger, C., and Rüde, U. “A coupled lattice Boltzmann method and discrete element method for discrete particle simulations of particulate flows,” Computers & Fluids, 172: 706–719, 2018.
Rong, L., Dong, K., and Yu, A. “Lattice-Boltzmann simulation of fluid flow through packed beds of uniform spheres: Effect of porosity,” Chemical Engineering Science, 99: 44–58, 2013.
Porous Media¶
Guo, Z., and Zhao, T. S. “Lattice Boltzmann Model for Incompressible Flows through Porous Media,” Physical Review E, 66(3), 2002.
He, Y., Liu, Q., Li, Q., and Tao, W. “Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: A review,” International Journal of Heat and Mass Transfer, 2018.