Flow, Turbulence and Combustion

, Volume 101, Issue 4, pp 1023–1033 | Cite as

Enhancements of the G-Scheme Framework

  • Mauro Valorani
  • Pietro Paolo Ciottoli
  • Riccardo Malpica GalassiEmail author
  • Samuel Paolucci
  • Temistocle Grenga
  • Emanuele Martelli


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.


Stiff solvers Chemical kinetics Autoignition Explicit solvers Multi-scale dynamical systems 



MV acknowledges the support of MIUR, as well as that provided by KAUST 1975-03 CCF Subaward Agreement.

Compliance with Ethical Standards

Conflict of interests

The authors declare that they have no conflict of interest.


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Sapienza University of RomeRomeItaly
  2. 2.University of Notre DameNotre DameUSA
  3. 3.Princeton UniversityPrincetonUSA
  4. 4.Campania University “L. Vanvitelli”AversaItaly

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