A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows

作者：Eroglu Fatma G; Kaya Songul; Rebholz Leo G^*

来源：Computer Methods in Applied Mechanics and Engineering, 2017, 325: 350-368.

DOI：10.1016/j.cma.2017.07.017

• Proper orthogonal decomposition
• Projection-based variational multiscale
• Reduced order models
• Post-processing

In this paper, we propose, analyze and test a post-processing implementation of a projection-based variational multiscale (VMS) method with proper orthogonal decomposition (POD) for the incompressible Navier-Stokes equations. The projection-based VMS stabilization is added as a separate post-processing step to the standard POD approximation, and since the stabilization step is completely decoupled, the method can easily be incorporated into existing codes, and stabilization parameters can be tuned independent from the time evolution step. We present a theoretical analysis of the method, and give results for several numerical tests on benchmark problems which both illustrate the theory and show the proposed method's effectiveness.

• 出版日期2017-10-1