Diffuse-Interface methods in fluid mechanics
Anderson, D.M., McFadden, G.B. and Wheeler, A.A. (1998) Diffuse-Interface methods in fluid mechanics. Annual Review of Fluid Mechanics, 30, 139-165. (doi:10.1146/annurev.fluid.30.1.139).
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We review the development of diffuse-interface models of hydrodynamics and their application to a wide variety of interfacial phenomena. These models have been applied successfully to situations in which the physical phenomena of interest have a length scale commensurate with the thickness of the interfacial region (e.g. near-critical interfacial phenomena or small-scale flows such as those occurring near contact lines) and fluid flows involving large interface deformations and/or topological changes (e.g. breakup and coalescence events associated with fluid jets, droplets, and large-deformation waves). We discuss the issues involved in formulating diffuse-interface models for single-component and binary fluids. Recent applications and computations using these models are discussed in each case. Further, we address issues including sharp-interface analyses that relate these models to the classical free-boundary problem, computational approaches to describe interfacial phenomena, and models of fully miscible fluids.
|Digital Object Identifier (DOI):||doi:10.1146/annurev.fluid.30.1.139|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
|Date Deposited:||10 Jan 2007|
|Last Modified:||06 Aug 2015 02:29|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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