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POD-Galerkin Reduced Order Model for the simulation of laminar and turbulent flows around a circular cylinder

Saddam Hijazi
SISSA AMMA, formerly University of L'Aquila, MATHMODS
Wednesday, November 16, 2016 - 16:30
Big Meeting Room (Seventh floor)

In this talk the development of a Reduced Order Model (ROM) using a POD-Galerkin approach for the simulation of laminar and turbulent vortex-shedding flows around a circular cylinder is investigated. The Proper Orthogonal Decomposition (POD) is used to decompose the flow fields, derived from a high-fidelity finite volume approximation, into a set of spatial modes and temporal amplitudes. The POD approach permits to create spatial bases that are optimal in terms of energy, and a Galerkin projection of the governing equations onto the spatial-modes is performed in order to obtain a system of ordinary differential equations for the evolution of the time-dependent amplitudes. The projection is performed using the incompressible Navier-Stokes equations for the laminar case and incompressible Reynolds Averaged Navier-Stokes (RANS) equations for the turbulent case. The boundary conditions are enforced on the ROM using a penalty approach. The applicability and accuracy of the present method is studied and discussed for different values of the Reynolds numbers and for different phenomena used as benchmark test cases.

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