MENU

You are here

Parametric Reduced Order Models for buoyancy-driven flows

Research Group: 
Speaker: 
Kelbij Star
Schedule: 
Wednesday, March 27, 2019 - 16:30
Location: 
A-134
Abstract: 

In this seminar I will introduce parametric reduced order models for buoyancy-driven flows with ITHACA-FV.

First, the full order model, which is based on the finite volume approximation, is presented. To model the buoyancy, a Boussinesq approximation is applied and therefore there exists a two-way coupling between the incompressible Boussinesq equations and the energy equation. The reduced basis is constructed with a Proper Orthogonal Decomposition approach and to obtain the reduced order model, a Galerkin projection of the governing equations onto the reduced basis is performed. The reduced order model (ROM) is tested on a 2D differentially heated cavity, of which the wall temperatures are parametrized. Two common approaches are presented  for parametrizing these BCs: the lifting function- and the penalty method. The aim of the lifting function method is to have homogeneous basis functions, while the penalty method enforces the BCs in the ROM with a penalty factor. The results and advantages/drawbacks of the methods are then discussed. Finally, some preliminary results for turbulent buoyant flow will be presented and an outlook on future work will be given.

Sign in