Dataset

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.

all self-written