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Exploiting timescale separation in micro and nano flows

Lockerby, Duncan A. and Duque-Daza, Carlos A. and Borg, Matthew Karl and Reese, Jason (2011) Exploiting timescale separation in micro and nano flows. In: 3rd Micro and Nano Flows Conference, MNF11, 2011-08-22 - 2011-08-24, Thessaloniki.

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    Abstract

    In this paper we describe how timescale separation in micro/nano flows can be exploited for computational acceleration. A modified version of the seamless heterogenous multiscale method (SHMM) is proposed: a multi-step SHMM. This maintains the main advantages of SHMM (e.g., re-initialisation of micro data is not required; temporal gearing (computational speed-up) is easily controlled; and it is applicable to full and intermediate degrees of timescale separation) while improving on accuracy and greatly reducing the number of macroscopic computations and micro/macro coupling instances required. The improved accuracy of the multi-step SHMM is demonstrated for two canonical one-dimensional transient flows (oscillatory Poiseuille and oscillatory Couette flow) and for rarefied-gas oscillatory Poiseuille flow.

    Item type: Conference or Workshop Item (Paper)
    ID code: 36511
    Keywords: Heterogenous Multiscale Method (HMM), seamless HMM, rarefied oscillatory Poiseuille flow, Mechanical engineering and machinery, Solid state physics. Nanoscience, Mechanical Engineering, Computational Mechanics
    Subjects: Technology > Mechanical engineering and machinery
    Science > Physics > Solid state physics. Nanoscience
    Department: Faculty of Engineering > Mechanical and Aerospace Engineering
    Technology and Innovation Centre > Advanced Engineering and Manufacturing
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    Depositing user: Pure Administrator
    Date Deposited: 20 Dec 2011 11:43
    Last modified: 11 Jun 2014 05:54
    URI: http://strathprints.strath.ac.uk/id/eprint/36511

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