Optimization-Based Modal Decomposition for Systems with Multiple Transports

Mode-based model-reduction is used to reduce the degrees of freedom high-dimensional systems, often by describing system state a linear combination spatial modes. Transport dominated phenomena, ubiquitous in technical and scientific applications, require large number modes obtain small representation error. This difficulty, even for most simple transports, originates from inappropriateness decomposition structure time dependent amplitudes purely In this article an approach discussed that decomposes flow field into several fields co-moving frames, where each one can be approximated few The central aspect report transparent formulation as optimization problem. Different singular-value-based objective functions are connected former formulations. A boundary treatment provided. applied generic cases technically relevant configuration combustion physics.