OpenFOAM implementation of a dynamic closures for coarse-grained approaches to turbulence

In this paper, we will present the implementation of the dynamic procedure in OpenFOAM, starting from a k-ε model. The dynamic procedure is based on the idea that the RANS equations describe turbulent phenomena as time-filtered quantities. Hence the idea of closing the equations in this way, that is, modeling turbulent viscosity with time-averaged quantities. To this end, this paper took a well-known model used in industry, applied this procedure, and implemented it in OpenFOAM to explore its potential applications. This approach was specifically implemented by calculating the cµ constant using this idea. This allowed us to add a module directly within the k-ε model that calculates cµ using Germano's identity, and once calculated, it is called directly into the nut calculation. Finally, we will demonstrate how this procedure takes the RANS approach to another level, demonstrating how it can obtain highly accurate information.