Research data supporting "Koopman analysis of Burgers equation"
Repository URI
Repository DOI
Change log
Authors
Kerswell, RR
Page, Jacob
Description
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.
Version
Software / Usage instructions
all self-written
Keywords
Burgers equation, Koopman, turbulence
Publisher
Rights
All rights reserved
Sponsorship
Engineering and Physical Sciences Research Council (EP/K034529/1)
EPSRC