Picture of two heads

Open Access research that challenges the mind...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including those from the School of Psychological Sciences & Health - but also papers by researchers based within the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

Discover more...

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.

[img] PDF
Reese_JM_Pure_Exploiting_timescale_separation_in_micro_and_nano_flows_Aug_2011.pdf - Preprint

Download (1MB)

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.