Journal ArticleDOI
Lattice Gas Automata for the Navier-Stokes Equations. A New Approach to Hydrodynamics and Turbulence
TLDR
A very brief presentation of how lattice gas hydrodynamics is made and includes key references.Citations
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Journal ArticleDOI
Lattice boltzmann method for fluid flows
Shiyi Chen,Gary D. Doolen +1 more
TL;DR: An overview of the lattice Boltzmann method, a parallel and efficient algorithm for simulating single-phase and multiphase fluid flows and for incorporating additional physical complexities, is presented.
Proceedings ArticleDOI
Tangible bits: towards seamless interfaces between people, bits and atoms
Hiroshi Ishii,Brygg Ullmer +1 more
TL;DR: Tangible Bits allows users to "grasp & manipulate" bits in the center of users’ attention by coupling the bits with everyday physical objects and architectural surfaces and ambient media for background awareness.
Journal ArticleDOI
Numerical simulations of particulate suspensions via a discretized boltzmann equation: part 1. theoretical foundation
TL;DR: In this article, a general technique for simulating solid-fluid suspensions is described, which combines Newtonian dynamics of the solid particles with a discretized Boltzmann equation for the fluid phase; the many-body hydrodynamic interactions are fully accounted for, both in the creeping flow regime and at higher Reynolds numbers.
Journal ArticleDOI
Theory of the lattice boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability
Pierre Lallemand,Li-Shi Luo +1 more
TL;DR: The generalized hydrodynamics (the wave vector dependence of the transport coefficients) of a generalized lattice Boltzmann equation (LBE) is studied in detail and linear analysis of the LBE evolution operator is equivalent to Chapman-Enskog analysis in the long-wavelength limit (wave vector k=0).
Journal ArticleDOI
Lattice-Boltzmann Simulations of Particle-Fluid Suspensions
Anthony J. C. Ladd,Rolf Verberg +1 more
TL;DR: In this paper, a review of applications of the lattice-Boltzmann method to simulations of particle-fluid suspensions is presented, together with some of the important applications of these methods.
References
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Journal ArticleDOI
Lattice-Gas Automata for the Navier-Stokes Equation
TL;DR: It is shown that a class of deterministic lattice gases with discrete Boolean elements simulates the Navier-Stokes equation, anc, and can be used to design simple, massively parallel computing machines.
Journal Article
Lattice gas hydrodynamics in two and three dimensions
TL;DR: It is shown for a class of D-dimensional lattice gas models how the macrodynamical equations for the densities of microscopically conserved quantities can be systematically derived from the underlying exact ''microdynamical'' Boolean equations.
Journal ArticleDOI
Lattice Gas Models for 3D Hydrodynamics
TL;DR: The 3D Navier-Stokes equations were obtained from two different lattice gas models as mentioned in this paper, one having its sites on a cubic lattice and particle speeds zero, one and √ 2.
Journal ArticleDOI
Time evolution of a two‐dimensional model system. I. Invariant states and time correlation functions
TL;DR: In this article, it is shown that, among states without correlations between particles with different velocities, there is a unique time invariant state with given density and hydrodynamic velocity.