Fig. 15From: POD-Galerkin reduced order models and physics-informed neural networks for solving inverse problems for the Navier–Stokes equationsThe results of the PINNs predictions for all reduced variables, the reduced order spaces are constructed with \(N_u=N_p=N_S=60\). The plots compare the reduced coefficients with the \(L^2\) projection coefficients. The red-dashed lines refers to the \(L^2\) projection coefficients, while the blue-dots correspond to the reduced coefficients obtained by the PINNs. (a) The first reduced coefficients for velocity, pressure, turbulent and convective terms compared to the ones obtained by the \(L^2\) projection. (b) The second reduced coefficients for velocity, pressure, turbulent and convective terms compared to the ones obtained by the \(L^2\) projectionBack to article page