This paper presents the construction and solution algorithm for a projection-based reduced model emphasising on integration with sensing data from a physical modelling for a coupled physical-numerical simulation. The reduced model is constructed based on the well-known Galerkin projection of the equations governing the physical processes on reduced subspaces obtained by the Proper Orthogonal Decomposition method. The projection is done using numerical discretisation in the existing OpenFOAM® platform. A simple yet efficient way to integrate physical sensing data into the reduced model to enhance the model accuracy is presented. The reduced model is demonstrated for classical incompressible flows at low and intermediate Reynolds numbers driven by various boundary conditions. Model results show excellent agreement with the full CFD simulations while only a fraction of computational resource is required.

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