Parallel computing as a vehicle for engineering design of complex functional surfaces
Thin liquid film flow over surfaces containing complex multiply connected topography is modelled using lubrication theory. The resulting time dependent nonlinear coupled set of governing equations for film thickness and pressure is solved on different parallel computing platforms using a purpose wri...
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| Published in: | Advances in engineering software (1992) Vol. 42; no. 5; pp. 228 - 236 |
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| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
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Elsevier Ltd
01.05.2011
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| ISSN: | 0965-9978 |
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| Abstract | Thin liquid film flow over surfaces containing complex multiply connected topography is modelled using lubrication theory. The resulting time dependent nonlinear coupled set of governing equations for film thickness and pressure is solved on different parallel computing platforms using a purpose written portable and scalable parallel multigrid algorithm in order to achieve the fine-scale resolution required to guarantee mesh independent solutions. The robustness of the approach is demonstrated via the solution of three problems: one to establish the convergence characteristics viz. the partitioning and message passing strategies adopted, taking flow over a well-defined trench topography as a benchmark against existing experimental and corresponding numerical predictions; two, flow through a sparsely distributed set of occlusions with computations performed on different parallel architectures; three, free-surface planarisation with respect to flow over complex topography – the first an engineered functional substrate, the second a naturally occurring surface. |
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| AbstractList | Thin liquid film flow over surfaces containing complex multiply connected topography is modelled using lubrication theory. The resulting time dependent nonlinear coupled set of governing equations for film thickness and pressure is solved on different parallel computing platforms using a purpose written portable and scalable parallel multigrid algorithm in order to achieve the fine-scale resolution required to guarantee mesh independent solutions. The robustness of the approach is demonstrated via the solution of three problems: one to establish the convergence characteristics viz. the partitioning and message passing strategies adopted, taking flow over a well-defined trench topography as a benchmark against existing experimental and corresponding numerical predictions; two, flow through a sparsely distributed set of occlusions with computations performed on different parallel architectures; three, free-surface planarisation with respect to flow over complex topography – the first an engineered functional substrate, the second a naturally occurring surface. |
| Author | Gu, X.J. Gaskell, P.H. Lee, Y.C. Emerson, D.R. Thompson, H.M. |
| Author_xml | – sequence: 1 givenname: Y.C. surname: Lee fullname: Lee, Y.C. organization: School of Mechanical Engineering, University of Leeds, Yorkshire LS2 9JT, United Kingdom – sequence: 2 givenname: D.R. surname: Emerson fullname: Emerson, D.R. organization: Department of Computational Science and Engineering, STFC Daresbury Laboratory, Warrington WA4 4AD, United Kingdom – sequence: 3 givenname: P.H. surname: Gaskell fullname: Gaskell, P.H. email: p.h.gaskell@leeds.ac.uk organization: School of Mechanical Engineering, University of Leeds, Yorkshire LS2 9JT, United Kingdom – sequence: 4 givenname: X.J. surname: Gu fullname: Gu, X.J. organization: Department of Computational Science and Engineering, STFC Daresbury Laboratory, Warrington WA4 4AD, United Kingdom – sequence: 5 givenname: H.M. surname: Thompson fullname: Thompson, H.M. organization: School of Mechanical Engineering, University of Leeds, Yorkshire LS2 9JT, United Kingdom |
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| Keywords | Adaptive time-stepping Multigrid Parallelisation Lubrication approximation Topography Thin film flow |
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| References | Gaver, Grotberg (b0010) 1990; 213 Gaskell, Jimack, Koh, Thompson (b0080) 2008; 56 Diez, Kondic (b0125) 2002; 183 Oron, Davis, Bankoff (b0115) 1997; 69 Llorente, Prieto-Matias, Diskin (b0105) 2001; 27 Walters (b0005) 2006; 114 Scholle, Haas, Aksel, Wilson, Thompson, Gaskell (b0035) 2008; 20 Schwartz, Eley (b0055) 1998; 202 Pozrikidis, Thoroddsen (b0045) 1992; 11 Lee, Thompson, Gaskell (b0070) 2008; 56 Christov, Pontes, Walgraef, Velarde (b0050) 1997; 148 Gaskell, Jimack, Sellier, Thompson (b0120) 2004; 45 Peurrung, Graves (b0015) 1993; 6 Sellier, Lee, Thompson, Gaskell (b0075) 2009; 38 Lee, Thompson, Gaskell (b0065) 2007; 36 Lambropoulos, Koubogiannis, Giannakoglou (b0095) 2004; 193 Snyder, Lim, Huang, Fleurial (b0020) 2003; 2 Tai, Zhao (b0090) 2003; 192 Gaskell, Jimack, Sellier, Thompson, Wilson (b0030) 2004; 509 Blyth, Pozrikidis (b0040) 2006; 18 Goodyer, Berzins (b0085) 2007; 19 Prieto, Santiago, Espadas, Liorene, Tirado (b0110) 2001; 61 Berger, Aftosmis, Murman (b0100) 2005; 65 Daniels, Ehret, Gaskell, Thompson, Decre (b0060) 2001 Decre, Baret (b0025) 2003; 487 Gaskell (10.1016/j.advengsoft.2010.10.004_b0080) 2008; 56 Gaskell (10.1016/j.advengsoft.2010.10.004_b0120) 2004; 45 Pozrikidis (10.1016/j.advengsoft.2010.10.004_b0045) 1992; 11 Lambropoulos (10.1016/j.advengsoft.2010.10.004_b0095) 2004; 193 Schwartz (10.1016/j.advengsoft.2010.10.004_b0055) 1998; 202 Christov (10.1016/j.advengsoft.2010.10.004_b0050) 1997; 148 Sellier (10.1016/j.advengsoft.2010.10.004_b0075) 2009; 38 Peurrung (10.1016/j.advengsoft.2010.10.004_b0015) 1993; 6 Gaskell (10.1016/j.advengsoft.2010.10.004_b0030) 2004; 509 Lee (10.1016/j.advengsoft.2010.10.004_b0065) 2007; 36 Scholle (10.1016/j.advengsoft.2010.10.004_b0035) 2008; 20 Berger (10.1016/j.advengsoft.2010.10.004_b0100) 2005; 65 Diez (10.1016/j.advengsoft.2010.10.004_b0125) 2002; 183 Goodyer (10.1016/j.advengsoft.2010.10.004_b0085) 2007; 19 Daniels (10.1016/j.advengsoft.2010.10.004_b0060) 2001 Snyder (10.1016/j.advengsoft.2010.10.004_b0020) 2003; 2 Tai (10.1016/j.advengsoft.2010.10.004_b0090) 2003; 192 Gaver (10.1016/j.advengsoft.2010.10.004_b0010) 1990; 213 Blyth (10.1016/j.advengsoft.2010.10.004_b0040) 2006; 18 Decre (10.1016/j.advengsoft.2010.10.004_b0025) 2003; 487 Llorente (10.1016/j.advengsoft.2010.10.004_b0105) 2001; 27 Prieto (10.1016/j.advengsoft.2010.10.004_b0110) 2001; 61 Oron (10.1016/j.advengsoft.2010.10.004_b0115) 1997; 69 Lee (10.1016/j.advengsoft.2010.10.004_b0070) 2008; 56 Walters (10.1016/j.advengsoft.2010.10.004_b0005) 2006; 114 |
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| SubjectTerms | Adaptive time-stepping Algorithms Computation Computer programs Lubrication approximation Mathematical models Multigrid Numerical prediction Parallel processing Parallelisation Partitioning Thin film flow Topography |
| Title | Parallel computing as a vehicle for engineering design of complex functional surfaces |
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