Exploiting timescale separation in micro and nano flows

Duncan A. Lockerby, Carlos A. Duque-Daza, Matthew K. Borg, Jason M. Reese

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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.
Original languageEnglish
Number of pages7
Publication statusPublished - 22 Aug 2011
Event3rd Micro and Nano Flows Conference, MNF11 - Thessaloniki, Greece
Duration: 22 Aug 201124 Aug 2011


Conference3rd Micro and Nano Flows Conference, MNF11


  • Heterogenous Multiscale Method (HMM)
  • seamless HMM
  • rarefied oscillatory Poiseuille flow


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