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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.
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 language | English |
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Number of pages | 7 |
Publication status | Published - 22 Aug 2011 |
Event | 3rd Micro and Nano Flows Conference, MNF11 - Thessaloniki, Greece Duration: 22 Aug 2011 → 24 Aug 2011 |
Conference
Conference | 3rd Micro and Nano Flows Conference, MNF11 |
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Country/Territory | Greece |
City | Thessaloniki |
Period | 22/08/11 → 24/08/11 |
Keywords
- Heterogenous Multiscale Method (HMM)
- seamless HMM
- rarefied oscillatory Poiseuille flow
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Dive into the research topics of 'Exploiting timescale separation in micro and nano flows'. Together they form a unique fingerprint.Projects
- 1 Finished
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Non-Equilibrium Fluid Dynamics for Micro/Nano Engineering Systems | Docherty, Stephanie
Docherty, S. (Research Co-investigator)
EPSRC (Engineering and Physical Sciences Research Council)
1/10/11 → 7/10/15
Project: Research - Internally Allocated