Print Email Facebook Twitter A Semi-Continuous Formulation for Goal-Oriented Reduced-Order Models Title A Semi-Continuous Formulation for Goal-Oriented Reduced-Order Models Author Cheng, L. Mattei, S. Fick, P.W. Hulshoff, S.J. Faculty Aerospace Engineering Department Aerodynamics, Wind Energy & Propulsion Date 2014-07-20 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. Subject reduced-order modelsPODoptimisation To reference this document use: http://resolver.tudelft.nl/uuid:cedaa7bc-393b-416d-8a4a-ad3d9fc408fd Publisher CIMNE ISBN 978-84-942844-7-2 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 Part of collection Institutional Repository Document type conference paper Rights © 2014 The Authors Files PDF Cheng_2014.pdf 312.35 KB Close viewer /islandora/object/uuid:cedaa7bc-393b-416d-8a4a-ad3d9fc408fd/datastream/OBJ/view