Exploration of POD-Galerkin Techniques for Developing Reduced Order Models of Reaction-Advection Equations
Technical paper, Apr-May 2014
AIR FORCE RESEARCH LAB EDWARDS AFB CA ROCKET PROPULSION DIV
Pagination or Media Count:
Galerkins 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.
- Numerical Mathematics
- Combustion and Ignition