Reduced-order representation of stratified wakes by proper orthogonal decomposition utilizing translational symmetry

Improvement of Reduced Order Modeling based on Proper Orthogonal Decomposition

This report focuses on improving the stability as well as the approximation properties of Reduced Order Models (ROM) based on Proper Orthogonal Decomposition (POD). The ROM is obtained by seeking a solution belonging to the POD subspace and that at the same time minimizes the Navier-Stokes residuals. We propose a modified ROM that directly incorporates the pressure term in the model. The ROM is...

Proper Orthogonal Decomposition-Based Reduced Order Model of a Hydraulic Mixing Nozzle

In this work, a reduced order model is constructed for a hydraulic mixing nozzle using proper orthogonal decomposition. Data from several CFD computations are collected to provide the data for input to the reduced order model and flow is projected onto the most dominant principal axes to study the flow structures. Flow structures are compared for the original and optimized shape nozzles to stud...

Proper Orthogonal Decomposition for Reduced Order Control of Partial Differential Equations

Numerical models of PDE systems can involve very large matrix equations, but feedback controllers for these systems must be computable in real time to be implemented on physical systems. Classical control design methods produce controllers of the same order as the numerical models. Therefore, reduced order control design is vital for practical controllers. The main contribution of this research...

Reduced Order Modeling of Aviation Environmental Design Tool with Proper Orthogonal Decomposition and Kriging

A high fidelity simulation is preferred for its remarkable accuracy for engineering problems. However, it requires long computational time, which leads to significant overhead and eventually hinders its application to design study. To overcome such impediments, a reduced-order method is utilized. Reducedorder method can effectively represent a simulation output as a linear combination of a basi...

Proper Orthogonal Decomposition for Reduced Order Feedback Control of Partial Differential Equations