Exploration of POD-Galerkin Techniques for Developing Reduced Order Models of Reaction-Advection Equations

Abstract

Galerkin's method is applied to reduce a high-order PDE system to a lower-order ODE system using POD eigen-basis to develop a reduced order model (ROM) describing the combustion response to acoustic excitations. A one-dimensional reaction-advection scalar equation is used as a representative equation to investigate the overall approach. Both linear and nonlinear model equations are employed to build the reduced order model. The influence of different discretization methods and time steps on the ROM are evaluated. Parametric explorations are performed to investigate the capabilities of the lower-order model for predicting combustion response.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2014
Accession Number
ADA611205

Entities

People

  • Charles L. Merkle
  • Cheng Huang
  • Venkateswaran Sankaran
  • William E Anderson

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Advection
  • Air Force Research Laboratories
  • Combustion
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Dynamics
  • Frequency
  • Galerkin Method
  • Mechanical Engineering
  • Nonlinear Dynamics
  • Partial Differential Equations
  • Physics
  • Reliability
  • Turbines

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
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