Research data supporting "Koopman analysis of Burgers equation"
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Kerswell, R., & Page, J. (2018). Research data supporting "Koopman analysis of Burgers equation" [Dataset]. https://doi.org/10.17863/CAM.25339
The supporting data includes (1) 2 solutions of the Burgers equation (in the folder bur_traj) obtained on a domain of length L=6pi with viscosity parameter nu=0.1 and evaluated at N=250 Gauss-Lobatto points. The snapshots are stored every 0.1 advective time units for a total evolution time of T=60. Files with the prefix 'bur_00.' are for the initial condition u(x) = exp( -(x+pi/2)^2 ); those with prefix 'bur_02.' are for the initial condition u(x) = sin(2 pi x / L). (2) Accompanying python code to perform dynamic mode decomposition (DMD) of this data. The file burgers_example.py is essentially a step by step guide for performing DMD on this dataset using different observable functions.
Burgers equation, Koopman, turbulence
Related research output: https://doi.org/10.1103/PhysRevFluids.3.071901
Engineering and Physical Sciences Research Council (EP/K034529/1)
This record's DOI: https://doi.org/10.17863/CAM.25339
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