Reduced order model of a convection-diffusion equation using Proper Orthogonal Decomposition

Author name not available (Why is that?)

Publication date: 13 March 2023

Abstract: In this work, a numerical simulation of 1D Burgers' equation is developed using finite difference method and a reduced order model (ROM) of the simulation is developed using proper orthogonal decomposition (POD). The objective of this work is to provide an introduction of the POD method to researchers interested in computational fluid dynamics (CFD). This work discusses a physical interpretation of the POD method, its strengths and shortcomings and an implementation of the algorithm that may be extended to 2D, 3D Burgers' equation and other non-linear partial differential equations (PDE) of this class, to develop models for more complex systems.

Has companion code repository: https://github.com/npadman87/ROM

This page was built for publication: Reduced order model of a convection-diffusion equation using Proper Orthogonal Decomposition

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6429383)