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.

Research Group:

Speaker:

Saddam Hijazi

Institution:

SISSA AMMA, formerly University of L'Aquila, MATHMODS

Schedule:

Wednesday, November 16, 2016 - 16:30

Location:

Big Meeting Room (Seventh floor)

Abstract: