Pod-Galerkin Reduced Order Methods for CFD Using Finite Volume Discretisation: Vortex Shedding Around a Circular Cylinder
| Autor: | Gianluigi Rozza, Saddam Hijazi, Andrea Mola, Giovanni Stabile, Stefano Lorenzi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
rom
Reduced order model POD-Galerkin Finite Volumes CFD vortex shedding 78M34 97N40 35Q35 ROM 01 natural sciences Industrial and Manufacturing Engineering 010305 fluids & plasmas Settore MAT/08 - Analisi Numerica pod-galerkin Incompressible flow 0103 physical sciences FOS: Mathematics Mathematics - Numerical Analysis 0101 mathematics Galerkin method cfd finite volumes Physics T57-57.97 Finite volume method Applied mathematics. Quantitative methods Applied Mathematics Numerical Analysis (math.NA) Mechanics Vortex shedding Finite element method 010101 applied mathematics Lift (force) Drag Poisson's equation |
| Zdroj: | Communications in Applied and Industrial Mathematics Communications in Applied and Industrial Mathematics, Vol 8, Iss 1, Pp 210-236 (2017) |
| Popis: | Vortex shedding around circular cylinders is a well known and studied phenomenon that appears in many engineering fields. A Reduced Order Model (ROM) of the incompressible flow around a circular cylinder is presented in this work. The ROM is built performing a Galerkin projection of the governing equations onto a lower dimensional space. The reduced basis space is generated using a Proper Orthogonal Decomposition (POD) approach. In particular the focus is into (i) the correct reproduction of the pressure field, that in case of the vortex shedding phenomenon, is of primary importance for the calculation of the drag and lift coefficients; (ii) the projection of the Governing equations (momentum equation and Poisson equation for pressure) performed onto different reduced basis space for velocity and pressure, respectively; (iii) all the relevant modifications necessary to adapt standard finite element POD-Galerkin methods to a finite volume framework. The accuracy of the reduced order model is assessed against full order results. Submitted to Communications in Applied and Industrial Mathematics |
| Databáze: | OpenAIRE |
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