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Georgiadis, John G. Buckius, Richard O. David R. Noble Holdych, David James 2015-09-25T21:12:07Z 2015-09-25T21:12:07Z 10000-01-01 2003 2003 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. Made available in DSpace on 2015-09-25T21:12:07Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3086082.pdf: 5820544 bytes, checksum: 5587b8992e6c276e61122ee4bb8f1e05 (MD5) Previous issue date: 2003 Embargo set by: Seth Robbins for item 85071 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 165 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003. http://hdl.handle.net/2142/83790 (MiAaPQ)AAI3086082 eng Physics, Fluid and Plasma Lattice Boltzmann Methods for Diffuse and Mobile Interfaces text Mechanical Engineering Mechanical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.