This repository contains the MATLAB implementation of Sparse Dynamic Mode Decompositions (Sparse DMD), a modification of the traditional DMD for extracting the modes that contribute the most in fluid flows.
In run_example, sparse DMD is applied to a synthetic example just to check the performance and number of nonzero amplitudes with respect to the sparsity parameter gamma.
In run_example_2, sparse DMD is applied to vorticity data of flow around a cylinder. Data is taken from chapter 2 of the DMD book available at http://dmdbook.com/. In addition to the performance and nonzero amplitudes, the modes chosen by sparse DMD are plotted with their residuals.
In run_example_3, sparse DMD is applied to the v velocity component of a 2D flow generated by a heated cylinder, where the fluid flow and heat transfer are analyzed using the Boussinesq approximation to model and solve the buoyancy problem. To download the data file, click here and download the file of Heated Cylinder with Boussinesq Approximation in NETCDF format.