A Semi-Continuous Formulation for Goal-Oriented Reduced-Order Models

Cheng, L.; Mattei, S.; Fick, P.W.; Hulshoff, S.J.

A Semi-Continuous Formulation for Goal-Oriented Reduced-Order Models

Conference paper (2014)

Authors

L. Cheng

S. Mattei

P.W. Fick

S.J. Hulshoff

Department

Aerodynamics, Wind Energy & Propulsion

Optimisation POD Reduced-order models

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Published Date

20-07-2014

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Source:

Proceedings - WCCM XI: 11th World Congress on Computational Mechanics; ECCM V: 5th European Conference on Computational Mechanics; ECFD VI: 6th European Conference on Computational Fluid Dynamics, Barcelona, Spain, 20-25 July 2014

Faculty

Aerospace Engineering

Department

Aerodynamics, Wind Energy & Propulsion

Abstract

A semi-continuous formulation is introduced for finding bases which minimise the error in a specific output functional of a reduced-order model. The formulation is advantageous in that it can be easily applied to nonlinear problems and functionals. A general description of the approach is given, then explicit formulations are derived for the convection-diffusion and Burgers equations. Numerical results are given for both linear and non-linear functionals. These show substantial reductions in error, depending on the functional considered. Optimisation of bases for a reduced-order model based on an approximated governing equation is also described, for which large increases in accuracy are obtained.

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