The Effort of Increasing Reynolds Number in Projection-Based Reduced Order Methods: From Laminar to Turbulent Flows

Francesco Ballarin, Saddam Hijazi, Shafqat Ali, Giovanni Stabile, Gianluigi Rozza

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Citations (Scopus)

Abstract

We present in this double contribution two different reduced order strategies for incompressible parameterized Navier-Stokes equations characterized by varying Reynolds numbers. The first strategy deals with low Reynolds number (laminar flow) and is based on a stabilized finite element method during the offline stage followed by a Galerkin projection on reduced basis spaces generated by a greedy algorithm. The second methodology is based on a full order finite volume discretization. The latter methodology will be used for flows with moderate to high Reynolds number characterized by turbulent patterns. For the treatment of the mentioned turbulent flows at the reduced order level, a new POD-Galerkin approach is proposed. The new approach takes into consideration the contribution of the eddy viscosity also during the online stage and is based on the use of interpolation. The two methodologies are tested on classic benchmark test cases.
Original languageEnglish
Title of host publicationNumerical Methods for Flows: FEF 2017 Selected Contributions
Pages245-264
Number of pages20
Volume132
DOIs
Publication statusPublished - 2020
Event19th International Conference on Finite Elements in Flow Problems, FEF 2017 - Roma
Duration: 5 Apr 20177 Apr 2017

Publication series

NameLECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING

Conference

Conference19th International Conference on Finite Elements in Flow Problems, FEF 2017
CityRoma
Period5/4/177/4/17

Keywords

  • Data driven model reduction
  • Projection based model reduction
  • SUPG
  • Stabilised RB methods
  • Turbulence modelling
  • Viscous flows

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