Bibliography¶
S Ansumali, I. V Karlin, and H. C Öttinger. Minimal entropic kinetic models for hydrodynamics. IOP Publishing, 63(6):798–804, sep 2003. doi:10.1209/epl/i2003-00496-6.
M’hamed Bouzidi, Mouaouia Firdaouss, and Pierre Lallemand. Momentum transfer of a Boltzmann-lattice fluid with boundaries. Physics of Fluids, 11 2001. URL: https://doi.org/10.1063/1.1399290, doi:10.1063/1.1399290.
JM Buick and CA Greated. Gravity in a lattice boltzmann model. Physical Review E, 61(5):5307, 2000. doi:10.1103/PhysRevE.61.5307.
Fabian Bösch, Shyam S Chikatamarla, and Ilya V Karlin. Entropic multirelaxation lattice boltzmann models for turbulent flows. Physical Review E, 92(4):043309, 2015. doi:10.1103/PhysRevE.92.043309.
Christophe Coreixas, Bastien Chopard, and Jonas Latt. Comprehensive comparison of collision models in the lattice boltzmann framework: theoretical investigations. Phys. Rev. E, 100:033305, Sep 2019. URL: https://link.aps.org/doi/10.1103/PhysRevE.100.033305, doi:10.1103/PhysRevE.100.033305.
D. D'Humières. Generalized lattice-Boltzmann equations. Rarefied gas dynamics, 1992.
A. Fakhari, Y. Li, D. Bolster, and K. T. Christensen. A phase-field lattice Boltzmann model for simulating multiphase flows in porous media: application and comparison to experiments of CO2 sequestration at pore scale. Advances in Water Resources, 114:119–134, 2018. doi:10.1016/j.advwatres.2018.02.005.
Abbas Fakhari, Diogo Bolster, and Li-Shi Luo. A weighted multiple-relaxation-time lattice Boltzmann method for multiphase flows and its application to partial coalescence cascades. Journal of Computational Physics, 2017. doi:10.1016/j.jcp.2017.03.062.
Martin Geier. Ab inito derivation of the cascaded lattice Boltzmann automaton. PhD thesis, Department of Microsystems Technology IMTEK, University of Freiburg, 2006.
Martin Geier, Andrea Pasquali, and Martin Schönherr. Parametrization of the cumulant lattice boltzmann method for fourth order accurate diffusion part i. J. Comput. Phys., 348(C):862–888, nov 2017. URL: https://doi.org/10.1016/j.jcp.2017.05.040, doi:10.1016/j.jcp.2017.05.040.
Martin Geier, Martin Schönherr, Andrea Pasquali, and Manfred Krafczyk. The cumulant lattice Boltzmann equation in three dimensions: Theory and validation. Computers & Mathematics with Applications, 70(4):507–547, 2015. doi:10.1016/j.camwa.2015.05.001.
G. Gruszczyński, T. Mitchell, C. Leonardi, Ł. Łaniewski-Wołłk, and T. Barber. A cascaded phase-field lattice boltzmann model for the simulation of incompressible, immiscible fluids with high density contrast. Computers & Mathematics with Applications, 79(4):1049–1071, feb 2020. doi:10.1016/j.camwa.2019.08.018.
Zhaoli Guo, Chuguang Zheng, and Baochang Shi. Discrete lattice effects on the forcing term in the lattice boltzmann method. Physical Review E, 65(4):046308, 2002. doi:10.1103/PhysRevE.65.046308.
Xiaoyi He and Li-Shi Luo. Lattice boltzmann model for the incompressible navier–stokes equation. Journal of Statistical Physics, 88(3/4):927–944, aug 1997. doi:10.1023/b:joss.0000015179.12689.e4.
Xiaoyi He, Xiaowen Shan, and Gary D. Doolen. Discrete boltzmann equation model for nonideal gases. Physical Review E, 57:R13–R16, 1 1998. doi:10.1103/PhysRevE.57.R13.
Ginzburg Irina, Frederik Verhaeghe, and D. D'Humières. Two-relaxation-time lattice boltzmann scheme: about parametrization, velocity, pressure and mixed boundary conditions. Communications in Computational Physics, 3:427–478, 01 2008.
T. Krüger, H. Kusumaatmaja, A. Kuzmin, O. Shardt, G. Silva, and E. M. Viggen. The Lattice Boltzmann Method. Springer International Publishing, 2017. doi:10.1007/978-3-319-44649-3.
R. Ouared and B. Chopard. Lattice Boltzmann simulations of blood flow: Non-Newtonian rheology and clotting processes. Journal of Statistical Physics, 2005. doi:10.1007/s10955-005-8415-x.
B. Postma and G. Silva. Force methods for the two-relaxation-times lattice Boltzmann. Phys. Rev. E, 12 2020. doi:10.1103/PhysRevE.102.063307.
Wybe Rozema, Hyun J. Bae, Parviz Moin, and Roel Verstappen. Minimum-dissipation models for large-eddy simulation. Physics of Fluids, aug 2015. doi:10.1063/1.4928700.
Ulf Daniel Schiller. Thermal fluctuations and boundary conditions in the lattice Boltzmann method. PhD thesis, Johannes Gutenberg Universität Mainz, 2008.
Ciro Semprebon, Timm Krüger, and Halim Kusumaatmaja. Ternary free-energy lattice boltzmann model with tunable surface tensions and contact angles. Phys. Rev. E, 93:033305, Mar 2016. doi:10.1103/PhysRevE.93.033305.
G. Silva and V. Semiao. A study on the inclusion of body forces in the lattice boltzmann bgk equation to recover steady-state hydrodynamics. Physica A: Statistical Mechanics and its Applications, 390(6):1085–1095, 2011. doi:10.1016/j.physa.2010.11.037.
M. Wöhrwag, C. Semprebon, A. Mazloomi Moqaddam, I. Karlin, and H. Kusumaatmaja. Ternary Free-Energy Entropic Lattice Boltzmann Model with a High Density Ratio. Physical Review Letters, 2018. arXiv:1710.07486, doi:10.1103/PhysRevLett.120.234501.
L.-S. Luo. Lattice-Gas Automata and Lattice Boltzmann Equations for Two-Dimensional Hydrodynamics. PhD thesis, GEORGIA INSTITUTE OF TECHNOLOGY., 1993.