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Hybrid Atomistic–Continuum Formulations and the Moving Contact-Line Problem

✍ Scribed by Nicolas G. Hadjiconstantinou


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
139 KB
Volume
154
Category
Article
ISSN
0021-9991

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✦ Synopsis


We present a hybrid atomistic-continuum computational framework for the treatment of dense fluid problems with emphasis on the coupling of molecular dynamics with continuum (finite element/spectral) methods for problems involving multi-fluid dynamics in the presence of multi-fluid interfaces. The technique is an extension of the single-fluid framework already presented by the author. The well-known moving contact-line problem is used as a validation example. A hybrid solution that employs molecular dynamics close to the walls where molecular effects are important and continuum fluid mechanics in the remainder of the domain (far field region) is obtained. A fully molecular solution of the same problem serves as an exact solution. Various issues related to dense fluid atomistic-continuum techniques are discussed and contrasted to the already existing but less general dilute gas techniques. Numerical considerations are discussed with particular emphasis on efficiency, and a formulation that reduces computational cost is proposed.