XJTU-Zhou-group / POD-FDM-FIV

The code and data of 'Reduced-order modeling of nonlinear flow-induced vibration of loosely supported elastic tube via proper orthogonal decomposition'

POD-FDM-FIV

The code and data of 'Reduced-order modeling of nonlinear flow-induced vibration of loosely supported elastic tube via proper orthogonal decomposition'

The remainder codes as follow:

1. beam_vibration_fdm_ddeNSD_FOM.m

   The full order modeling (FOM) finite differences method (FDM) for loosely supported tube bundle flow-induced vibration (FIV) system with various reduced velocity.

2. U_340.mat

   snapshots of flexible tube transverse deflection from 0 to 250 at U=3.4, the first line is the corresponding time.

3. U_400.mat

   snapshots of flexible tube transverse deflection from 0 to 250 at U=4.0, the first line is the corresponding time.

4. U_480.mat

   snapshots of flexible tube transverse deflection from 0 to 250 at U=4.8, the first line is the corresponding time.

5. beam_vibration_fdm_dde_POD_34.m

   The reduced order modeling (ROM) finite differences method (FDM) for loosely supported tube bundle flow-induced vibration (FIV) system at U=3.4.

6. beam_vibration_fdm_dde_POD_40.m

   The reduced order modeling (ROM) finite differences method (FDM) for loosely supported tube bundle flow-induced vibration (FIV) system at U=4.0.

7. beam_vibration_fdm_dde_POD_48.m

   The reduced order modeling (ROM) finite differences method (FDM) for loosely supported tube bundle flow-induced vibration (FIV) system at U=4.8.

8. fixed_end_mode.m

   Dominant modes for linear system and fluid induced vibration systems with different reduced velocity.

9. Relative error_POD_mode.m

   Relative error of truncated POD bases.