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 - 5 Oct 2011 |
| Event | CECAM Workshop on Multiscale Modelling of Simple and Complex Liquid Flow Using Particle-Continuum Hybrids - Zaragoza, Spain Duration: 5 Oct 2011 → 7 Oct 2011 |
Conference
| Conference | CECAM Workshop on Multiscale Modelling of Simple and Complex Liquid Flow Using Particle-Continuum Hybrids |
|---|---|
| Country/Territory | Spain |
| City | Zaragoza |
| Period | 5/10/11 → 7/10/11 |
Keywords
- Heterogenous Multiscale Method (HMM)
- seamless HMM
- rarefied oscillatory Poiseuille flow