The Effort of Increasing Reynolds Number in Projection-Based Reduced Order Methods: from Laminar to Turbulent Flows
| Autor: | Gianluigi Rozza, Francesco Ballarin, Saddam Hijazi, Shafqat Ali, Giovanni Stabile |
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| Rok vydání: | 2018 |
| Předmět: |
78M34
97N40 35Q35 010103 numerical & computational mathematics 01 natural sciences Projection (linear algebra) Physics::Fluid Dynamics symbols.namesake Turbulence modelling FOS: Mathematics Applied mathematics Settore ICAR/08 - Scienza delle Costruzioni Mathematics - Numerical Analysis 0101 mathematics Data driven model reduction Projection based model reduction Stabilised RB methods SUPG Viscous flows Galerkin method Mathematics Turbulence Turbulence modeling Reynolds number Laminar flow Numerical Analysis (math.NA) Finite element method 010101 applied mathematics symbols Settore MAT/08 - ANALISI NUMERICA Interpolation |
| Zdroj: | Numerical Methods for Flows-FEF 2017 Selected Contributions Lecture Notes in Computational Science and Engineering Lecture Notes in Computational Science and Engineering-Numerical Methods for Flows Lecture Notes in Computational Science and Engineering ISBN: 9783030307042 |
| ISSN: | 1439-7358 2197-7100 |
| DOI: | 10.48550/arxiv.1807.11370 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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