Physics Enabled Flow Restoration Algorithm (PEFRA) reconstructs a full picture of a fluid flow from sparse velocity measurements. It takes noisy, corrupted, and sparse velocity measurements and returns the reconstructed one. It does not require that its user has any idea about fluid mechanics. Just press the button, and it will work! See more here: Vlasenko A., Steele E. and W. A. M. Nimmo-Smith (2015) A physics-enabled flow restoration algorithm for sparse PIV and PTV measurements. Measurement Science and Technology Vol. 26(6), 065,301. DOI: 10.1088/0957-0233/26/6/065301 Steele E., W. A. M. Nimmo-Smith, and A. Vlasenko (2016) Direct measurement of hairpin-like vortices in the bottom boundary layer of the coastal ocean. Geophysical Research Letters. Vol 43(3). pp. 1175–1183. https://doi.org/10.1002/2015GL067148 Find the code here: https://github.com/Vlasenko2006/PEFFRA/

1. PEFRA: Physically Enabled
Flow Restoration Algorithm
Andrey Vlasenko

2. What PEFFRA can do
Input Output
Toy Example
PEFRA reconstructs a full picture of a fluid flow from sparse velocity measurements.

3. How it works (4-step procedure)
Input (Sparse velocity measurements)
Interpolation: filling the missed data
removing divergence
Physical plausibility enforcing
Smoothing and removing ramps
Output (reconstructed velocity field)
PEFRA

4. Measured and reconstructed velocity fields in ashore boundary
layer using PEFRA
Red – measurements, black – restored, shaded white – space with available observations
Figures taken from: Steele E., W. A. M. Nimmo-Smith, and A. Vlasenko (2016) Direct measurement of hairpin-like vortices in the bottom boundary layer of
the coastal ocean. Geophysical Research Letters. Vol 43(3). pp. 1175–1183.

5. Find more on PEFRA
• Vlasenko A., Steele E. and W. A. M. Nimmo-Smith (2015)
A physics-enabled flow restoration algorithm for sparse PIV and
PTV measurements. Measurement Science and Technology Vol.
26(6), 065,301. DOI: 10.1088/0957-0233/26/6/065301
• Steele E., W. A. M. Nimmo-Smith, and A. Vlasenko (2016) Direct
measurement of hairpin-like vortices in the bottom boundary
layer of the coastal ocean. Geophysical Research Letters. Vol
43(3). pp. 1175–1183. https://doi.org/10.1002/2015GL067148
• Find the code here: https://github.com/Vlasenko2006/PEFFRA/