Research data supporting "Koopman analysis of Burgers equation"
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Authors
Kerswell, RR
Page, Jacob
Publication Date
2018-07-19Type
Dataset
Metadata
Show full item recordCitation
Kerswell, R., & Page, J. (2018). Research data supporting "Koopman analysis of Burgers equation" [Dataset]. https://doi.org/10.17863/CAM.25339
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.
Format
all self-written
Keywords
Burgers equation, Koopman, turbulence
Relationships
Related research output: https://doi.org/10.1103/PhysRevFluids.3.071901
Sponsorship
EPSRC
Funder references
Engineering and Physical Sciences Research Council (EP/K034529/1)
Identifiers
This record's DOI: https://doi.org/10.17863/CAM.25339
Rights
All rights reserved
Statistics
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