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Cited article:
Francois Dubois
ESAIM: Proc., 18 (2007) 181-215
Published online: 2007-09-12
This article has been cited by the following article(s):
12 articles
General fourth-order Chapman–Enskog expansion of lattice Boltzmann schemes
François Dubois, Bruce M. Boghosian and Pierre Lallemand Computers & Fluids 266 106036 (2023) https://doi.org/10.1016/j.compfluid.2023.106036
Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes
François Dubois Asymptotic Analysis 127 (4) 297 (2022) https://doi.org/10.3233/ASY-211692
Discrete effects on boundary conditions of the lattice Boltzmann method for fluid flows with curved no-slip walls
Liang Wang, Shi Tao, Xuhui Meng, Kai Zhang and Gui Lu Physical Review E 101 (6) (2020) https://doi.org/10.1103/PhysRevE.101.063307
Discrete effect on single-node boundary schemes of lattice Bhatnagar-Gross-Krook model for convection-diffusion equations
Liang Wang, Xuhui Meng, Hao-Chi Wu, Tian-Hu Wang and Gui Lu International Journal of Modern Physics C (2019) https://doi.org/10.1142/S0129183120500175
Study on an antagonist differentiated heated lid driven-cavity enclosing a tube: lattice Boltzmann method
Xiaoyan Ma, Nicolas Pellerin, Marcelo Reggio, et al. The European Physical Journal Applied Physics 78 (3) 34803 (2017) https://doi.org/10.1051/epjap/2017170087
Approximation of mono-dimensional hyperbolic systems: A lattice Boltzmann scheme as a relaxation method
B. Graille Journal of Computational Physics 266 74 (2014) https://doi.org/10.1016/j.jcp.2014.02.017
A computation of flow and heat transfer past three heated cylinders in a vee shape by a double distribution MRT thermal lattice Boltzmann model
M.A. Moussaoui, A. Mezrhab and H. Naji International Journal of Thermal Sciences 50 (8) 1532 (2011) https://doi.org/10.1016/j.ijthermalsci.2011.03.011
Double MRT thermal lattice Boltzmann method for simulating convective flows
Ahmed Mezrhab, Mohammed Amine Moussaoui, Mohammed Jami, Hassan Naji and M'hamed Bouzidi Physics Letters A 374 (34) 3499 (2010) https://doi.org/10.1016/j.physleta.2010.06.059
On a superconvergent lattice Boltzmann boundary scheme
François Dubois, Pierre Lallemand and Mahdi Tekitek Computers & Mathematics with Applications 59 (7) 2141 (2010) https://doi.org/10.1016/j.camwa.2009.08.055
Towards higher order lattice Boltzmann schemes
François Dubois and Pierre Lallemand Journal of Statistical Mechanics: Theory and Experiment 2009 (06) P06006 (2009) https://doi.org/10.1088/1742-5468/2009/06/P06006
Towards perfectly matching layers for lattice Boltzmann equation
M.M. Tekitek, M. Bouzidi, F. Dubois and P. Lallemand Computers & Mathematics with Applications 58 (5) 903 (2009) https://doi.org/10.1016/j.camwa.2009.02.013
Equivalent partial differential equations of a lattice Boltzmann scheme
François Dubois Computers & Mathematics with Applications 55 (7) 1441 (2008) https://doi.org/10.1016/j.camwa.2007.08.003