Lattice Boltzmann Methods for Diffuse and Mobile Interfaces
Holdych, David James
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https://hdl.handle.net/2142/83790
Description
Title
Lattice Boltzmann Methods for Diffuse and Mobile Interfaces
Author(s)
Holdych, David James
Issue Date
2003
Doctoral Committee Chair(s)
Georgiadis, John G.
Buckius, Richard O.
David R. Noble
Department of Study
Mechanical Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Fluid and Plasma
Language
eng
Abstract
In this work, various systematic approaches are employed for deriving the truncation error of LB models which approximate Navier-Stokes flows. Improved LB models are formulated and validated through point-by-point comparison with limiting benchmark flows. Finally, the modified LB models are used to study a complex swirling flow in the strongly non-linear regime and to elucidate the physics of vapor-liquid flows near the critical point. The first case pertains to hydrodynamic instabilities occurring in the canonical Taylor-Couette-Poiseuille problem, and the numerical study serves to demonstrate the existence of a Stationary Helical Vortex mode. In the second flow, the LB simulations allow the study of the effect of interfacial mass transfer on the hydrodynamic stability of annular flow of near-critical CO2 in a microchannel. The LB results are corroborated by independent experimental data which serve to bolster the validity of the numerical schemes developed.
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