Comparison of several interpolation methods to reconstruct field data in the vicinity of a finite element immersed boundary

Thermal-hydraulics safety requirements for the second and third generation of nuclear reactors led to development innovative passive systems. In particular, new devices must be developed involving numerical simulations turbulent two-phase flows around complex geometries. To reduce time-consuming mesh phase when testing various geometries, we use a fictitious domain approach. More specifically, choose Penalized Direct Forcing Method take into account inflow obstacles. Following recent work, resolution one-phase incompressible Navier-Stokes equations using projection scheme Finite Element Method, this paper focuses on different techniques recover data from discrete immersed boundary ways achieve order 2 in space via linear interpolation. Indeed, investigate two reconstruction approaches (one based weighted averaging, other optimization) compare their results cylindrical NACA0012 airfoil shapes: they provide similar accuracy but weighting is much faster terms execution time. We also three interpolation types: unidirectional, multi-directional hybrid between two. The Taylor-Couette flow circular cylinder are used carry out convergence studies. Globally, numerically assessed both L2 L∞ norms all types, which consistent with theoretical expectations – even if bit higher For cylinder, values aerodynamic coefficients Strouhal number good agreement literature, especially directional Finally, an industrial case, representative systems, presented assess robustness capability method. tend show that, here again, offers best behavior dealing geometries relatively coarse meshes.