“…The approach provides accurate predictions of the flow statistics by solving the Reynolds-averaged Navier-Stokes (RANS) equations for incompressible turbulent flows without any a-priori turbulence model, and employing the measured mean velocity and Reynolds stresses at the domain frontier as boundary conditions. Mons et al [9] present a variational data assimilation procedure to infer 3D flow velocity, Eulerian acceleration and pressure fields from sparse single-instant velocity measurements, as those obtained by two-pulse PTV. The approach is based on the solution of the unsteady Navier-Stokes equations, whereby the Eulerian acceleration is treated as a forcing term, which is adjusted to minimize the discrepancy between the reconstructed and the measured velocities.…”