Seminar by Fatma Güler Eroğlu

Speaker

Fatma Güler Eroğlu (Atilim University)

Title

Reduced order modelling for multiphysics problems

Date

• February 27, 2024 16:00 CET+0100 (Europe/Rome)

• February 27, 2024 10:00 EST-0500 (US/Eastern)

• February 27, 2024 09:00 CST-0600 (US/Central)

• February 27, 2024 07:00 PST-0800 (US/Pacific)

Abstract

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. Then, we extend the VMS-POD methodology for Darcy-Brinkman equations with double-diffusive convection.

In the second part of the presentation, we investigate POD-G modelling to solve fully nonlinear potential flow equations (FNPF) to achieve faster turn-around time than spectral element method (SEM). We present results for several numerical tests on benchmark problems which show the proposed method’s effectiveness.

Recording

Watch the recording on our YouTube channel.