The efficient and accurate solution of continuous thin film flow over surface patterning and past occlusions

Y. C. Lee; H. M. Thompson; P. H. Gaskell

doi:10.1002/fld.1573

The efficient and accurate solution of continuous thin film flow over surface patterning and past occlusions

Y. C. Lee, H. M. Thompson, P. H. Gaskell^*

^*Corresponding author for this work

School of Engineering, Computing and Mathematics

University of Leeds

Research output: Contribution to journal › Article › peer-review

Abstract

AbstractThe benefits of a spatially and time‐adaptive full approximation storage (FAS) multigrid method for the solution of the thin film lubrication equations, as used to model gravity‐driven flow over complex submerged topography and past small‐scale occlusions, are investigated. Results are presented which demonstrate how flow orientation has a significant effect on the magnitude of the resultant free‐surface disturbances and how reduction of the in‐plane dimensions of the associated topography increases the computational resources needed to achieve grid‐independent solutions. In addition, the ability to automatically restrict fine grid resolution only to those regions in and around small, localized topography is shown to lead to significantly increased computational efficiency over grid‐independent solutions obtained on globally fine meshes with the same degree of accuracy. Copyright © 2007 John Wiley & Sons, Ltd.

Original language	English
Pages (from-to)	1375-1381
Number of pages	0
Journal	International Journal for Numerical Methods in Fluids
Volume	56
Issue number	8
Early online date	7 Aug 2007
DOIs	https://doi.org/10.1002/fld.1573
Publication status	Published - 20 Mar 2008

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title = "The efficient and accurate solution of continuous thin film flow over surface patterning and past occlusions",

abstract = "AbstractThe benefits of a spatially and time‐adaptive full approximation storage (FAS) multigrid method for the solution of the thin film lubrication equations, as used to model gravity‐driven flow over complex submerged topography and past small‐scale occlusions, are investigated. Results are presented which demonstrate how flow orientation has a significant effect on the magnitude of the resultant free‐surface disturbances and how reduction of the in‐plane dimensions of the associated topography increases the computational resources needed to achieve grid‐independent solutions. In addition, the ability to automatically restrict fine grid resolution only to those regions in and around small, localized topography is shown to lead to significantly increased computational efficiency over grid‐independent solutions obtained on globally fine meshes with the same degree of accuracy. Copyright {\textcopyright} 2007 John Wiley & Sons, Ltd.",

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T1 - The efficient and accurate solution of continuous thin film flow over surface patterning and past occlusions

AU - Lee, Y. C.

AU - Thompson, H. M.

AU - Gaskell, P. H.

PY - 2008/3/20

Y1 - 2008/3/20

N2 - AbstractThe benefits of a spatially and time‐adaptive full approximation storage (FAS) multigrid method for the solution of the thin film lubrication equations, as used to model gravity‐driven flow over complex submerged topography and past small‐scale occlusions, are investigated. Results are presented which demonstrate how flow orientation has a significant effect on the magnitude of the resultant free‐surface disturbances and how reduction of the in‐plane dimensions of the associated topography increases the computational resources needed to achieve grid‐independent solutions. In addition, the ability to automatically restrict fine grid resolution only to those regions in and around small, localized topography is shown to lead to significantly increased computational efficiency over grid‐independent solutions obtained on globally fine meshes with the same degree of accuracy. Copyright © 2007 John Wiley & Sons, Ltd.

AB - AbstractThe benefits of a spatially and time‐adaptive full approximation storage (FAS) multigrid method for the solution of the thin film lubrication equations, as used to model gravity‐driven flow over complex submerged topography and past small‐scale occlusions, are investigated. Results are presented which demonstrate how flow orientation has a significant effect on the magnitude of the resultant free‐surface disturbances and how reduction of the in‐plane dimensions of the associated topography increases the computational resources needed to achieve grid‐independent solutions. In addition, the ability to automatically restrict fine grid resolution only to those regions in and around small, localized topography is shown to lead to significantly increased computational efficiency over grid‐independent solutions obtained on globally fine meshes with the same degree of accuracy. Copyright © 2007 John Wiley & Sons, Ltd.

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DO - 10.1002/fld.1573

M3 - Article

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VL - 56

SP - 1375

EP - 1381

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 8

ER -

The efficient and accurate solution of continuous thin film flow over surface patterning and past occlusions

Abstract

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