DMDc
Dynamic Mode decomposition (with control) and Model predictive control to suppress vortex shedding in a rotating cylinder.
Install / Use
/learn @WannaBePhysicists/DMDcREADME
DMDc on Flow over a Cylinder for control with MPC
MPC to supress shedding in a cylinder by using a DMDc linearized model of fluid flow.
Contents of the Repository.
Notebooks
DMDc_MPC_flow_over_cyl_2d.ipny - Ipython notebook to see the entire workflow. Expands on the code used in reduced_order_model.py, but with cleaner code and succint descriptions.
Modules
reduced_order_model.py - python script to generate a reduced order model of flow. Takes the data generated from ANSYS. Utilizes the Dynamic Mode Decomposition (DMD with Control) algorithm for linearized model reduction.
MPC_DMDcV1.m - utilizes the A, B, Uhat, x0 matrices from notebook to implement MPC on the linearized system.
Bibliography links
DMDc by Proctor et al. (2014) https://arxiv.org/abs/1409.6358
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