Noisy Data PINN

Data Description Two datasets are used across the four experiments. Lid-Driven Cavity Reference Data Generated by FLUENT. Two-dimensional steady-state velocity and pressure fields for incompressible flow in a unit-square cavity were obtained via CFD simulation at five Reynolds numbers (Re = 100, 300, 400, 500, 1000), corresponding to lid velocities U = 1, 3, 4, 5, and 10 m/s. Each case is provided on three uniform Cartesian grids of size 41×41, 81×81, and 401×401 nodes. Each data file contains five columns: x, y, u, v, p. JHTDB Isotropic Turbulence Data. Velocity and pressure snapshots were extracted from the Johns Hopkins Turbulence Database (JHTDB) forced isotropic turbulence dataset [Li et al., 2008]. A cubic sub-domain of side length approximately 0.185 (in code units) centred near coordinates (1.05, 1.05, 1.05) was sampled at four spatial resolutions: 11³, 16³, 32³, and 64³ uniformly distributed points. Temporal snapshots span t = 0 to t = 0.003 s at intervals of Δt = 0.0002 s (16 snapshots), with additional snapshots up to t = 0.006 s used for future-prediction evaluation. Each CSV file contains seven columns: x, y, z, u, v, w, p. The fluid kinematic viscosity is ν = 1.85 × 10⁻⁴ m²/s and density ρ = 1.0 kg/m³. The 11³ and 16³ snapshots serve as coarse-resolution input for the super-resolution experiment; the 32³ and 64³ snapshots provide ground truth for domain expansion evaluation.