2020/02/26 by Julius Reiß, Reiss, Julius
Engineering · #Engineering Applied Research #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Hydraulic and Pneumatic Systems #Numerical Analysis (math.NA) #Real-time simulation and control systems
paper · pdf · doi:10.48550/arxiv.2002.11789
openalex publication_date 2020/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Mode-based model-reduction is used to reduce the degrees of freedom of high\ndimensional systems, often by describing the system state by a linear\ncombination of spatial modes. Transport dominated phenomena, ubiquitous in\ntechnical and scientific applications, often require a large number of linear\nmodes to obtain a small representation error. This difficulty, even for the\nmost simple transports, originates from the inappropriateness of the\ndecomposition structure in time dependent amplitudes of purely spatial modes.\n In this article an approach is discussed, which decomposes a flow field into\nseveral fields of co-moving frames, where each one can be approximated by a few\nmodes. The method of decomposition is formulated as an optimization problem.\nDifferent singular-value-based objective functions are discussed and connected\nto former formulations. A boundary treatment is provided. The decomposition is\napplied to generic cases and to a technically relevant flow configuration of\ncombustion physics.\n