A
A. A. Wheeler
Researcher at University of Southampton
Publications - 64
Citations - 6768
A. A. Wheeler is an academic researcher from University of Southampton. The author has contributed to research in topics: Directional solidification & Phase (matter). The author has an hindex of 30, co-authored 64 publications receiving 6171 citations. Previous affiliations of A. A. Wheeler include University of East Anglia & National Institute of Standards and Technology.
Papers
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Journal ArticleDOI
Diffuse-interface methods in fluid mechanics
TL;DR: 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 are addressed.
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Phase-field model for isothermal phase transitions in binary alloys
TL;DR: A phase-field model to describe isothermal phase transitions between ideal binary-alloy liquid and solid phases is presented, and an asymptotic analysis as the gradient energy coefficient of the phase field becomes small shows that the model recovers classical sharp-interface models of alloy solidification when the interfacial layers are thin.
Thermodynamically-consistent phase-field models for solidification
S. L. Wang,Robert F. Sekerka,A. A. Wheeler,Bruce T. Murray,Sam R. Coriell,Richard J. Braun,Geoffrey B. McFadden +6 more
TL;DR: In this article, a class of phase-field models for crystallization of a pure substance from its melt are presented, which are based on an entropy functional, and are therefore thermodynamically consistent inasmuch as they guarantee spatially local positive entropy production.
Journal ArticleDOI
Thermodynamically-consistent phase-field models for solidification
S. L. Wang,Robert F. Sekerka,A. A. Wheeler,Bruce T. Murray,Sam R. Coriell,Richard J. Braun,Geoffrey B. McFadden +6 more
TL;DR: In this paper, a class of phase-field models for crystallization of a pure substance from its melt are presented, which are based on an entropy functional, and are therefore thermodynamically consistent inasmuch as they guarantee spatially local positive entropy production.
Journal ArticleDOI
Phase-field models for anisotropic interfaces.
TL;DR: The method of matched asymptotic expansions is used to recover the appropriate anisotropic form of the Gibbs-Thomson equation in the sharp-interface limit in which the width of the diffuse interface is thin compared to its local radius of curvature.