منابع مشابه
Entropic Lattice Boltzmann Methods
We present a general methodology for constructing lattice Boltzmann models of hydrodynamics with certain desired features of statistical physics and kinetic theory. We show how a methodology of linear programming theory, known as Fourier-Motzkin elimination, provides an important tool for visualizing the state space of lattice Boltzmann algorithms that conserve a given set of moments of the dis...
متن کاملSingle relaxation time model for entropic lattice Boltzmann methods.
For lattice Boltzmann methods based on entropy functions, we derive a collision integral which enables simple identification of transport coefficients, and which circumvents construction of the equilibrium. Implementation of the two-dimensional hydrodynamics demonstrates considerable increase of stability with respect to conventional lattice Boltzmann schemes.
متن کاملEntropic lattice Boltzmann method for microflows
A new method for the computation of flows at the micrometer scale is presented. It is based on the recently introduced minimal entropic kinetic models. Both the thermal and isothermal families of minimal models are presented, and the simplest isothermal entropic lattice Bhatnagar-Gross-Krook (ELBGK) is studied in detail in order to quantify its relevance for microflow simulations. ELBGK is equi...
متن کاملEntropic Lattice Boltzmann Method for Large Scale Turbulence Simulation
Recently, a minimal kinetic model for fluid flow, known as entropic lattice Boltzmann method, has been proposed for the simulation of isothermal hydrodynamic flows. At variance with previous Lattice Boltzmann methods, the entropic version permits to describe the non-linear dynamics of short scales in a controlled and stable way. In this paper, we provide the first numerical evidence that the en...
متن کاملEntropic lattice Boltzmann method for simulation of binary mixtures
A new kinetic model for binary mixtures and its Lattice Boltzman (LB) discretization is presented. In the hydrodynamic limit the model recovers the Navier-Stokes and the Stefan-Maxwell binary diffusion equations. The thermodynamic consistency is ensured by the defined non-negative entropy production within the domain of applicability of the model. The present formulation is able to simulate mix...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
سال: 2001
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2000.0689