Enhancements of the G-Scheme Framework

Mauro Valorani; Pietro Paolo Ciottoli; Riccardo Malpica Galassi; Samuel Paolucci; Temistocle Grenga; Emanuele Martelli

doi:10.1007/s10494-018-9942-2

Enhancements of the G-Scheme Framework

Mauro Valorani, Pietro Paolo Ciottoli, Riccardo Malpica Galassi, Samuel Paolucci, Temistocle Grenga, Emanuele Martelli

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

27 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1023-1033
Number of pages	11
Journal	Flow, Turbulence and Combustion
Volume	101
Issue number	4
DOIs	https://doi.org/10.1007/s10494-018-9942-2
State	Published - Jun 21 2018
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy
General Chemical Engineering
Physical and Theoretical Chemistry

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title = "Enhancements of the G-Scheme Framework",

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.",

author = "Mauro Valorani and Ciottoli, {Pietro Paolo} and {Malpica Galassi}, Riccardo and Samuel Paolucci and Temistocle Grenga and Emanuele Martelli",

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AU - Malpica Galassi, Riccardo

AU - Paolucci, Samuel

AU - Grenga, Temistocle

AU - Martelli, Emanuele

N1 - KAUST Repository Item: Exported on 2022-06-08 Acknowledged KAUST grant number(s): 1975-03 CCF Acknowledgements: MV acknowledges the support of MIUR, as well as that provided by KAUST 1975-03 CCF Subaward Agreement. This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2018/6/21

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N2 - 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.

AB - 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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JO - Flow, Turbulence and Combustion

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Enhancements of the G-Scheme Framework

Abstract

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