Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation
Tóm tắt
Từ khóa
Tài liệu tham khảo
Bear, 1979
Celia, 1990, A general mass-conservative numerical solution for the unsaturated flow equation, Water Resour Res, 26, 1483, 10.1029/WR026i007p01483
d’Humières, 1992, Generalized lattice Boltzmann equations. AIAA rarefied gas dynamics: theory and simulations, Prog Astronaut Aeronaut, 59, 450
d’Humières, 2001, Thirteen-velocity three-dimensional lattice Boltzmann model, Phys Rev E, 63, 066702-1, 10.1103/PhysRevE.63.066702
d’Humières, 2002, Multiple-relaxation-time lattice Boltzmann models in three dimensions, Phil Trans R Soc Lond A, 360, 437, 10.1098/rsta.2001.0955
Flekkoy, 1995, Hydrodynamic dispersion at stagnation points—simulations and experiments, Phys Rev E, 52, 4952, 10.1103/PhysRevE.52.4952
Frisch, 1987, Lattice gas hydrodynamics in two and three dimensions, Complex Syst, 1, 649
Ginzburg, 2003, Lattice Boltzmann model for free-surface flow and its application to filling process in casting, J Comp Phys, 185, 61, 10.1016/S0021-9991(02)00048-7
Ginzburg, 2003, Multi-reflection boundary conditions for lattice Boltzmann models, Phys Rev E, 68, 066614-1, 10.1103/PhysRevE.68.066614
Ginzburg, 2004, Lattice Boltzmann approach to Richards’ equation, 583
Ginzburg I. Generic boundary conditions for lattice Boltzmann models and their application to advection and anisotropic-dispersion equations, in press, doi:10.1016/j.advwatres.2005.03.009.
Ginzburg I. Variably saturated flow described with the anisotropic lattice Boltzmann methods. Comp Fluids, in press, in Proceeding of ICMESS 2004, Braunschweig.
Giraud L. Fluides visco-élastique par la méthode de Boltzmann sur réseau, PhD thesis, Université Pierre et Marie Curie, Paris, 1997.
Grubert, 1997, Using the FHP-BGK-model to get effective dispersion constants for spatially periodic model geometries, Int J Mod Phys C, 8, 817, 10.1142/S0129183197000709
Grubert, 1999, Effective parameter interpretation and extrapolation of dispersion simulations by means of a simple two-velocity model, Transport Por Med, 37, 153, 10.1023/A:1006678923565
Higuera, 1989, Boltzmann approach to lattice gas simulations, Europhys Lett, 9, 663, 10.1209/0295-5075/9/7/009
Higuera, 1989, Lattice gas dynamics with enhanced collisions, Europhys Lett, 9, 345, 10.1209/0295-5075/9/4/008
Huang, 1997, A third-order numerical scheme with upwind weighting for solving the solute transport equation, Int J Numer Meth Eng, 40, 1623, 10.1002/(SICI)1097-0207(19970515)40:9<1623::AID-NME131>3.0.CO;2-V
Jawerth, 1999, Lattice Boltzmann models for anisotropic diffusion of images, J Math Imaging Vis, 11, 231, 10.1023/A:1008304519705
Lallemand, 2000, Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability, Phys Rev E, 61, 6546, 10.1103/PhysRevE.61.6546
Merks, 2002, The moment propagation method for advection–diffusion in the lattice Boltzmann method: validation and Péclet number limits, J Comp Phys, 183, 563, 10.1006/jcph.2002.7209
Miller, 2004, A comparison of computational and algorithmic advances for solving Richards’ equation, vol. 2, 1131
Palmer, 2000, Lattice-Boltzmann algorithm for simulating thermal flow in compressible fluids, J Comp Phys, 161, 1, 10.1006/jcph.2000.6425
Qian, 1992, Lattice BGK models for Navier–Stokes equation, Europhys Lett, 17, 479, 10.1209/0295-5075/17/6/001
Tichonov, 1977
Van der Sman, 1999, Diffusion lattice Boltzmann scheme on an orthorhombic lattice, J Stat Phys, 94, 203, 10.1023/A:1004515413793
Van der Sman, 2000, Advection–diffusion lattice Boltzmann scheme for irregular lattices, J Comp Phys, 160, 766, 10.1006/jcph.2000.6491
Verberg, 2001, Accuracy and stability of a lattice-Boltzmann model with subgrid scale boundary conditions, Phys Rev E, 65, 016701-1, 10.1103/PhysRevE.65.016701
Wolf-Gladrow, 2000, Lattice gas cellular automata and lattice Boltzmann models: an introduction, vol. 1725
Warren, 1997, Electroviscous transport problems via lattice Boltzmann, Int J Mod Phys C, 8, 889, 10.1142/S012918319700076X
Worthing, 1997, Stability of lattice Boltzmann methods in hydrodynamic regimes, Phys Rev E, 56, 2243, 10.1103/PhysRevE.56.2243
Zhang, 2002, A lattice BGK model for advection and anisotropic dispersion equation, Adv Water Resour, 25, 1, 10.1016/S0309-1708(01)00047-1