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Model reduction for convective problems: formulation and application
Citation key Reiss2018
Author Julius Reiss
Pages 186 - 189
Year 2018
ISSN 2405-8963
DOI https://doi.org/10.1016/j.ifacol.2018.03.032
Journal IFAC-PapersOnLine
Volume 51
Number 2
Note 9th Vienna International Conference on Mathematical Modelling
Abstract Mode-based model-reduction is effective when the system dynamics can be described by a small number of spatial modes. For transport dominated phenomena often a large number of modes is needed to reproduce the solution to a given error. Here, an approach is discussed, which decomposes a flow field into several co-moving frames, where each can be approximated by a low-rank field. Special attention is given to the method of decomposition. We show that a recently introduced method can in certain cases be described as an optimum. This allows to reformulate the method as an optimization problem.
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