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arXiv · 1710.11580

Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations

Giovanni Stabile·Gianluigi Rozza
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Abstract

In this work a stabilised and reduced Galerkin projection of the incompressible unsteady Navier-Stokes equations for moderate Reynolds number is presented. The full-order model, on which the Galerkin projection is applied, is based on a finite volumes approximation. The reduced basis spaces are constructed with a POD approach. Two different pressure stabilisation strategies are proposed and compared: the former one is based on the supremizer enrichment of the velocity space, and the latter one is based on a pressure Poisson equation approach.

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Giovanni Stabile, Gianluigi Rozza. 2017-10-31. Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. https://doi.org/10.1016/j.compfluid.2018.01.035

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