Enhancements of the G-Scheme Framework
The G-Scheme is a well established framework for multi-scale adaptive model reduction, whose effectiveness was demonstrated with reference to a number of test models, together with an identification of the critical areas that were in need of further theoretical and computational refinement. In this...
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Published in | Flow, turbulence and combustion Vol. 101; no. 4; pp. 1023 - 1033 |
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Main Authors | , , , , , |
Format | Journal Article |
Language | English |
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Springer Netherlands
01.12.2018
Springer Nature B.V |
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Abstract | The G-Scheme is a well established framework for multi-scale adaptive model reduction, whose effectiveness was demonstrated with reference to a number of test models, together with an identification of the critical areas that were in need of further theoretical and computational refinement. In this communication, we report on how we enhanced the solver performance. Two new features involving (i) the criteria to identify the fast and slow subspace dimensions, and (ii) a criterion to decide if and when the reuse of the
CSP Basis
is feasible without deteriorating the overall performance of the solver, have been proved able to increase significantly the computational efficiency of the solver without sacrificing its accuracy. |
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AbstractList | The G-Scheme is a well established framework for multi-scale adaptive model reduction, whose effectiveness was demonstrated with reference to a number of test models, together with an identification of the critical areas that were in need of further theoretical and computational refinement. In this communication, we report on how we enhanced the solver performance. Two new features involving (i) the criteria to identify the fast and slow subspace dimensions, and (ii) a criterion to decide if and when the reuse of the
CSP Basis
is feasible without deteriorating the overall performance of the solver, have been proved able to increase significantly the computational efficiency of the solver without sacrificing its accuracy. The G-Scheme is a well established framework for multi-scale adaptive model reduction, whose effectiveness was demonstrated with reference to a number of test models, together with an identification of the critical areas that were in need of further theoretical and computational refinement. In this communication, we report on how we enhanced the solver performance. Two new features involving (i) the criteria to identify the fast and slow subspace dimensions, and (ii) a criterion to decide if and when the reuse of the CSP Basis is feasible without deteriorating the overall performance of the solver, have been proved able to increase significantly the computational efficiency of the solver without sacrificing its accuracy. |
Author | Paolucci, Samuel Valorani, Mauro Ciottoli, Pietro Paolo Malpica Galassi, Riccardo Martelli, Emanuele Grenga, Temistocle |
Author_xml | – sequence: 1 givenname: Mauro surname: Valorani fullname: Valorani, Mauro organization: Sapienza University of Rome – sequence: 2 givenname: Pietro Paolo surname: Ciottoli fullname: Ciottoli, Pietro Paolo organization: Sapienza University of Rome – sequence: 3 givenname: Riccardo orcidid: 0000-0002-5780-4208 surname: Malpica Galassi fullname: Malpica Galassi, Riccardo email: riccardo.malpicagalassi@uniroma1.it organization: Sapienza University of Rome – sequence: 4 givenname: Samuel surname: Paolucci fullname: Paolucci, Samuel organization: University of Notre Dame – sequence: 5 givenname: Temistocle surname: Grenga fullname: Grenga, Temistocle organization: Princeton University – sequence: 6 givenname: Emanuele surname: Martelli fullname: Martelli, Emanuele organization: Campania University “L. Vanvitelli” |
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Cites_doi | 10.1002/kin.550260408 10.1016/S0010-2180(01)00373-X 10.1080/13647830.2016.1243733 10.1016/j.jcp.2009.03.011 10.1016/j.combustflame.2005.03.005 |
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Keywords | Autoignition Explicit solvers Stiff solvers Multi-scale dynamical systems Chemical kinetics |
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References | Valorani, Paolucci (CR1) 2009; 228 CR2 Lam, Goussis (CR3) 1994; 26 CR5 Buda, Bounaceur, Warth, Glaude, Fournet, Battin-Leclerc (CR7) 2005; 142 Curran, Gaffuri, Pitz, Westbrook (CR6) 2002; 36 Valorani, Paolucci, Ciottoli, Malpica Galassi (CR4) 2017; 21 F Buda (9942_CR7) 2005; 142 HJ Curran (9942_CR6) 2002; 36 M Valorani (9942_CR1) 2009; 228 SH Lam (9942_CR3) 1994; 26 9942_CR5 9942_CR2 M Valorani (9942_CR4) 2017; 21 |
References_xml | – ident: CR5 – volume: 26 start-page: 461 issue: 4 year: 1994 end-page: 486 ident: CR3 article-title: The CSP method for simplifying kinetics publication-title: Int. J. Chem. Kinet. doi: 10.1002/kin.550260408 contributor: fullname: Goussis – volume: 36 start-page: 253 issue: 129 year: 2002 end-page: 280 ident: CR6 article-title: A comprehensive modeling study of iso-octane oxidation publication-title: Combust. Flame doi: 10.1016/S0010-2180(01)00373-X contributor: fullname: Westbrook – ident: CR2 – volume: 21 start-page: 137 issue: 1 year: 2017 end-page: 157 ident: CR4 article-title: Entropy production and timescales publication-title: Combust. Theor. Model. doi: 10.1080/13647830.2016.1243733 contributor: fullname: Malpica Galassi – volume: 228 start-page: 4665 issue: 13 year: 2009 end-page: 4701 ident: CR1 article-title: The G-Scheme: A framework for multi-scale adaptive model reduction publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2009.03.011 contributor: fullname: Paolucci – volume: 142 start-page: 170 issue: 1–2 year: 2005 end-page: 186 ident: CR7 article-title: Progress toward a unified detailed kinetic model for the autoignition of alkanes from c4 to c10 between 600 and 1200 k publication-title: Combust. Flame doi: 10.1016/j.combustflame.2005.03.005 contributor: fullname: Battin-Leclerc – volume: 26 start-page: 461 issue: 4 year: 1994 ident: 9942_CR3 publication-title: Int. J. Chem. Kinet. doi: 10.1002/kin.550260408 contributor: fullname: SH Lam – volume: 21 start-page: 137 issue: 1 year: 2017 ident: 9942_CR4 publication-title: Combust. Theor. Model. doi: 10.1080/13647830.2016.1243733 contributor: fullname: M Valorani – volume: 142 start-page: 170 issue: 1–2 year: 2005 ident: 9942_CR7 publication-title: Combust. Flame doi: 10.1016/j.combustflame.2005.03.005 contributor: fullname: F Buda – ident: 9942_CR2 – ident: 9942_CR5 – volume: 228 start-page: 4665 issue: 13 year: 2009 ident: 9942_CR1 publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2009.03.011 contributor: fullname: M Valorani – volume: 36 start-page: 253 issue: 129 year: 2002 ident: 9942_CR6 publication-title: Combust. Flame doi: 10.1016/S0010-2180(01)00373-X contributor: fullname: HJ Curran |
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Title | Enhancements of the G-Scheme Framework |
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