Acceleration of Gas Reservoir Simulation Using Proper Orthogonal Decomposition

Artificial viscosity proper orthogonal decomposition

We introduce improved reduced-order models for turbulent flows. These models are inspired from successful methodologies used in large eddy simulation, such as artificial viscosity, applied to standardmodels created by proper orthogonal decomposition of flows coupled with Galerkin projection. As a first step in the analysis and testing of our new methodology, we use the Burgers equation with a s...

Modeling and Control of Physical Processes using Proper Orthogonal Decomposition

Proper orthogonal decomposition (POD) technique (or the Karhunan Lo eve procedure) has been used to obtain low dimensional dynamical models of many applications in engineering and science. In principle, the idea is to start with an ensemble of data, called snapshots, collected from an experiment or a numerical procedure of a physical system. The POD technique is then used to produce a set of ba...

Radar Measurements of Ocean Surface Waves Using Proper Orthogonal Decomposition

Modeling of transitional channel flow using balanced proper orthogonal decomposition

We study reduced-order models of three-dimensional perturbations in linearized channel flow using balanced proper orthogonal decomposition BPOD . The models are obtained from three-dimensional simulations in physical space as opposed to the traditional single-wavenumber approach, and are therefore better able to capture the effects of localized disturbances or localized actuators. In order to a...

Investigation of the “tecflam” Non-premixed Flame Using Large Eddy Simulation and Proper Orthogonal Decomposition

The confined turbulent swirling non-premixed TECFLAM S09c flame has been investigated using Large Eddy Simulation and a pre-calculated mixture-fraction-based flamelet model in a preliminary step to simulate this flame. The simplified formulation, despite the fact that it cannot capture localized extinction, is found to reproduce the experimentally-observed vortex breakdown and the results agree...