This PR adds the capability of shifting the snapshot data in DMD using offsets and predicting derivatives. Corresponding prediction formula is implemented.
Although the motivation of adding this capability is to work on the Laghos examples with zero initial conditions in velocity (triple point expansion and Sedov blast explosion), a few test runs show that these new capabilities do not provide sufficiently accurate predictions yet. In the future, more investigations are needed on Laghos and these capabilities shall be applied to other MFEM examples, but they are not urgent.
In junction with Laghos PR#171.
This PR adds the capability of shifting the snapshot data in DMD using offsets and predicting derivatives. Corresponding prediction formula is implemented.
Although the motivation of adding this capability is to work on the Laghos examples with zero initial conditions in velocity (triple point expansion and Sedov blast explosion), a few test runs show that these new capabilities do not provide sufficiently accurate predictions yet. In the future, more investigations are needed on Laghos and these capabilities shall be applied to other MFEM examples, but they are not urgent.