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Scholars Day: April 15, 2009

A Two-dimensional Lattice Boltzmann Model for Unsteady Diffusion

Molecular diffusion is an important transport phenomenon, often encountered in physics, chemistry, and biology. Traditional methods of solving the diffusion transport equation include finite difference, finite volume, and finite element. All these methods take a top-down approach by directly discretizing the macroscopic continuum differential equations. The macroscopic models, however, are difficult to reveal the process of microstructural changes and the corresponding consequences. As an alternative, the lattice Boltzmann method (LBM) has gained an increasing application in modeling physics in fluids and showed success in simulating fluid flow involving interfacial dynamics and complex boundaries. The LBM is based on microscopic dynamics and mesoscopic equations, where kinetic models are constructed and the relationship between the microscopic statistical dynamics and the macroscopic transport equations are established. This paper introduces a LBM model, describes the corresponding computational algorithm, and presents the consequent numerical results for two-dimensional unsteady diffusion problems.

Presenter: Taylor Cordes (Graduate Student)
Topic: Computational Science
Location: 125 Hartwell
Time: 2:30 pm (Session IV)