BookDOI
Advances in Kinetic Theory and Continuum Mechanics
Renée Gatignol,Soubbaramayer +1 more
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The article was published on 1991-01-01. It has received 105 citations till now. The article focuses on the topics: Kinetic theory of gases & Continuum mechanics.read more
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Hyperbolic conservation laws with stiff relaxation terms and entropy
TL;DR: In this paper, the limiting behavior of systems of hyperbolic conservation laws with stiff relaxation terms was studied and the convergence to the reduced dynamics for the 2 × 2 case was studied.
Journal ArticleDOI
A lattice Boltzmann method for incompressible two-phase flows with large density differences
TL;DR: In this article, a lattice Boltzmann method for simulation of two-phase immiscible fluids with large density differences is proposed, and the difficulty in the treatment of large density difference is resolved by using the projection method.
Journal ArticleDOI
Asymptotic analysis of the lattice Boltzmann equation
TL;DR: In this paper, the authors apply the asymptotic analysis directly to the fully discrete Boltzmann equation, as opposed to the usual practice of analyzing a continuous equation obtained through the Taylor-expansion of the LBE.
Journal ArticleDOI
Perfect entropy functions of the Lattice Boltzmann method
TL;DR: In this article, Qian et al. derived entropy functions whose local equilibria are suitable to recover the Navier-Stokes equations in the framework of the Lattice Boltzmann method.
Journal ArticleDOI
Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation
Hiroaki Yoshida,Makoto Nagaoka +1 more
TL;DR: An asymptotic analysis of the model equation with boundary rules for the Dirichlet and Neumann-type (specified flux) conditions is carried out to show that the model is first- and second-order accurate in time and space, respectively.