Modeling adsorption with lattice Boltzmann equation

Modeling adsorption with lattice Boltzmann equation

The research of adsorption theory has recently gained renewed attention due to its critical relevance to a number of trending industrial applications, hydrogen storage and shale gas exploration for instance. The existing theoretical foundation, laid mostly in the early twentieth century, was largely based on simple heuristic molecular interaction models and static interaction potential which, a...

Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation

Xiaoyi He1,2,* and Li-Shi Luo Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 Complex Systems Group T-13, MS-B213, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 ICASE, MS 403, NASA Langley Research Center, 6 North Dryden Street, Building 1298, Hampton, Virginia 23681-0001 ~Received 29 April 1997; revised ma...

Modeling pattern formation with Boltzmann-like equation

We apply a single Boltzmann-like integro-diierential equation to model pattern formation in aspect space. Dynamics of density distributions are considered in two cases. First, the distribution of organisms on the real line is investigated. A linear stability analysis reveals conditions on interactions between the organisms that lead to aggregation and periodic patterns. Use of diiusion approxim...

Implicit Schemes for the Lattice Boltzmann Equation

Lattice Boltzmann Equation for Laminar Boundary Flow

A simple method based on the lattice Boltzmann equatio n is presented for the evaluati on of the velocity profile of fluid flows near walls or in the vicinity of the interface between two fluids. The met hod is applied to fluid flow near a wall, to channel flow, and to the transition zone between two fluids flowing parallel to each other in opposite direct ions. The results show good agreement ...