Exploiting timescale separation in micro and nano flows

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

Research output: Contribution to conferencePaper

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.

Conference

ConferenceCECAM Workshop on Multiscale Modelling of Simple and Complex Liquid Flow Using Particle-Continuum Hybrids
CountrySpain
CityZaragoza
Period5/10/117/10/11

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Macros
Gears
Gases

Keywords

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

Cite this

Lockerby, D. A., Duque-Daza, C. A., Borg, M. K., & Reese, J. (2011). Exploiting timescale separation in micro and nano flows. Paper presented at CECAM Workshop on Multiscale Modelling of Simple and Complex Liquid Flow Using Particle-Continuum Hybrids, Zaragoza, Spain.
Lockerby, Duncan A. ; Duque-Daza, Carlos A. ; Borg, Matthew Karl ; Reese, Jason. / Exploiting timescale separation in micro and nano flows. Paper presented at CECAM Workshop on Multiscale Modelling of Simple and Complex Liquid Flow Using Particle-Continuum Hybrids, Zaragoza, Spain.7 p.
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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 datais 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.",
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author = "Lockerby, {Duncan A.} and Duque-Daza, {Carlos A.} and Borg, {Matthew Karl} and Jason Reese",
note = "Same paper presented at two different events; CECAM Workshop on Multiscale Modelling of Simple and Complex Liquid Flow Using Particle-Continuum Hybrids ; Conference date: 05-10-2011 Through 07-10-2011",
year = "2011",
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day = "5",
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Lockerby, DA, Duque-Daza, CA, Borg, MK & Reese, J 2011, 'Exploiting timescale separation in micro and nano flows' Paper presented at CECAM Workshop on Multiscale Modelling of Simple and Complex Liquid Flow Using Particle-Continuum Hybrids, Zaragoza, Spain, 5/10/11 - 7/10/11, .

Exploiting timescale separation in micro and nano flows. / Lockerby, Duncan A. ; Duque-Daza, Carlos A.; Borg, Matthew Karl; Reese, Jason.

2011. Paper presented at CECAM Workshop on Multiscale Modelling of Simple and Complex Liquid Flow Using Particle-Continuum Hybrids, Zaragoza, Spain.

Research output: Contribution to conferencePaper

TY - CONF

T1 - Exploiting timescale separation in micro and nano flows

AU - Lockerby, Duncan A.

AU - Duque-Daza, Carlos A.

AU - Borg, Matthew Karl

AU - Reese, Jason

N1 - Same paper presented at two different events

PY - 2011/10/5

Y1 - 2011/10/5

N2 - 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 datais 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.

AB - 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 datais 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.

KW - Heterogenous Multiscale Method (HMM)

KW - seamless HMM

KW - rarefied oscillatory Poiseuille flow

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M3 - Paper

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Lockerby DA, Duque-Daza CA, Borg MK, Reese J. Exploiting timescale separation in micro and nano flows. 2011. Paper presented at CECAM Workshop on Multiscale Modelling of Simple and Complex Liquid Flow Using Particle-Continuum Hybrids, Zaragoza, Spain.