Lattice-Boltzmann models

Theissen O, Gompper G and Kroll D M 1998 Lattice-Boltzmann model of amphiphilic systems Euro. Phys. Lett. 42 419... 

Langevin simulations of time-dependent Ginzburg-Landau models have also been performed to study other dynamical aspects of amphiphilic systems [223,224]. An attractive alternative approach is that of the Lattice-Boltzmann models, which take proper account of the hydrodynamics of the system. They have been used recently to study quenches from a disordered phase in a lamellar phase [225,226]. 

The steady-state flow numerical experiment was primarily designed to evaluate the phasic relative permeability relations. The numerical experiment is devised within the two-phase lattice Boltzmann modeling framework for the reconstructed CL microstructure, generated using the stochastic reconstruction technique described earlier. Briefly, in the steady-state flow experiment two immiscible fluids are allowed to flow simultaneously until equilibrium is attained and the corresponding saturations, fluid flow rates and pressure gradients can be directly measured and correlated using Darcy s law, defined below. 

Wolf-Gladrow, D. A., "Lattice-Gas Cellular Automata and Lattice Boltzmann Models An Introduction". Springer-Verlag, Berlin (2000). 

Shan Xiaowen, Chen Hudong. 1993. Lattice Boltzmann model for simulating flows with multiple phases and components. Physical Review E, 47 (3) 1815. 

He, X.Y. and Luo, L.S., 1997. Lattice Boltzmann Model for the Incompressible Navier-Stokes Equation. Journal of Statistical Physics, 88(3-4) 927-944. Himmelblau, D.M., 1974. Basic Principles and Calculations in Chemical Engineering. Prentice Hall, New Jersey, 542 pp. 

Asinari, P. Viscous Coupling based Lattice Boltzmann Model for Binary Mixtures. Phys. 

He, X. and G. Doolen. Thermodynamic Foundations of Kinetic Theory and Lattice Boltzmann Models for Multiphase Flows. J. Stat. Phys. 107 1572-4996 (2002). 

Holdych, D.J., D. Rovas, J.G. Georgiadis and R.O. Buckius. An Improved Hydrodynamic Formulation for Multiphase How Lattice Boltzmann Models. Int. J. Modern Phys. C 9 1393-1404 (1998). 

Luo, L.-S. Theory of the Lattice Boltzmann Method Lattice Boltzmann Models for Nonideal Gases. Phys. Rev. E 62 4982-4996 (2000). 

McCracken, M.E. and J. Abraham. Multiple-Relaxation-Time Lattice-Boltzmann Model for Multiphase Flow. Phys. Rev. E 71 036701 (2005a). 

Mukherjee, S. and J. Abraham. A Pressuie-Evolntion-Based Mnlti-Relaxation-Time High-Density-Ratio Two-Phase Lattice-Boltzmann Model. Comput. Fluids 36 1149-1158 (2(X)7a). 

Premnath, K.N. and J. Abraham. Three-Dimensional Multi-Relaxation Time (MRT) Lattice-Boltzmann Models for Multiphase Flow. J. Comput. Phys. 224 539-559 (2007). 

Sbragaglia, M., R. Benzi, L. Biferale, S. Sued, K. Sugiyama, and F. Toschi. Generalized Lattice Boltzmann Method with Multirange Pseudopotential. Phys. Rev. E 75 026702 (2007). Shan, X. and H. Chen. Lattice Boltzmann Model of Simulating Flows with Multiple Phases and Components. Phys. Rev. E 47 1815-1819 (1993). 

Zheng, H.W., C. Shu, and Y.T. Chew. A Lattice Boltzmann Model for Multiphase Flows with Large Density Ratio. J. Comput. Phys. 218 353-371 (2006). 

Li B, Kwok DY (2004) Electrokinetic microfluidic phenomena by a lattice Boltzmann model using a modified Poisson-Boltzmann equation with an excluded volume effect. J Chem Phys 120 947-953... 

Lopez P, Bayazitoglu Y (2013) High Knudsen number thermal flows with the D2Q12 lattice Boltzmann Model, Numerical Heat Transfer, 64 93-106... 

Chen S., Chen H., Martinez D. Matthaeus W. (1991). Lattice Boltzmann model for simulation of magnetohydrodinamics. Physical Review Letter, 67(27), pp. 3776-3779. Chen S., Dawson S. P., Doolen G. D., Janecky D. R. Lawniczak A. (1995). Lattice methods and their applications to reacting systems. Comput. Chem. Eng 19(6-7), pp. 617-646. 

The similar problem of encapsulating sub-micrometer particles within a carrier fluid has been investigated computationally using a lattice Boltzmann model for binary fluids, together with a Brownian motion model for the particles [90]. The modeling approach allows the inclusion of different fluid-fluid, fluid-solid and fluid-surface interactions into the free energy of the system and hence into their simulations as the dynamics equations depend on the free energy. This novel... 

Lattice Boltzmann modeling of three-dimensional, multicomponent mass diffusion in a solid oxide fuel cell anode. J. Fuel Cell Sci. Technol., 7 (1), 011006-011008. 

Direct numerical simulations (DNS) At the most detailed level of description, the gas flow field is modeled at scales smaller than the size of the solid particles. The interaction of the gas phase with the solid phase is incorporated by imposing no-slip boundary conditions at the surface of the solid particles. This model thus allows one to measure the effective momentum exchange between the two phases, which is a key input in aU the higher scale models. Many different types of DNS models exist, such as the lattice Boltzmann model (Ladd, 1994 Ladd and Verberg, 2001) or immersed boundary techniques (Peskin (2002), UMmann (2005)). The goal of these simulations is to construct drag laws for dense gas—solid systems, which are used in the discrete particle type models. 

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