Spatiotemporal dynamic mode decomposition

This code decomposes a set of spatiotemporal measurements into orthogonal modes with unique frequencies/wavenumbers and growth/decay rates.

This code performs temporal or spatial dynamic mode decomposition. The input is a set of grayscale images and the output is the frequncies or wavenumbers and the growth/decay rates of the orthogonal modes existing in the input. Here, the calculation is perfromed for a a synthetic spatially unstable jet. Please see the attached pdf and slides for detailed presentation of the results.

References:

(1) P. J. Schmid, Dynamic mode decomposition of numerical and experimental data, J. Fluid Mech. 656, 5 (2010).

(2) J. N. Kutz, S. L. Brunton, B. W. Brunton, and J. L. Proctor, Dynamic mode decomposition: data-driven modeling of complex systems (SIAM, 2016).

(3) S. Yamani, Y. Raj, T. A. Zaki, G. H. McKinley, and I. Bischofberger, Spatio-temporal Signatures of Elasto-inertial Turbulence in Viscoelastic Planar Jets, arXiv preprint arXiv:2207.10736 (2020).