ITHACA-FV a C++ library for model order reduction based on OpenFoam

  • Stabile, Giovanni (University of Urbino Carlo Bo)
  • Rozza, Gianluigi (International School for Advanced Studies)

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Despite the recent increase of the available computational power in many occasion standard discretization techniques (Finite Volumes, Finite Elements, Finite Differences, etc..) are not a viable approach. Such condition occurs in the context of parametric problems when a large number of system configurations are in need of being tested or a reduced computational time is required [1]. Typical example of such situations can be found for example in uncertainty quantification, shape optimization, inverse problems or real-time control. Reduced order models demonstrated to offer a possible approach to reduce the computational time required to evaluate a new solution in the parameter space. In this talk I will present several reduced order modeling techniques for parametrized problems implemented using ITHACA-FV, an in-house open source c++ library based on OpenFOAM ( I will discuss different types of reduced order models of both the intrusive and non-intrusive types such as the Proper Orthogonal Decomposition (POD)-Galerkin approach, nonlinear manifold projection, POD with interpolation. Both physical and geometrical parametrization will be dis- cussed. Particular attention will be devoted to geometrically parametrized problems [2] and to the different techniques that can be used to efficiently morph the computational domain. The developed methodology will be presented on computational fluid dynamics problems for both stationary and non-stationary cases. REFERENCES [1] Gianluigi Rozza, Giovanni Stabile, and Francesco Ballarin, editors. Advanced Reduced Order Methods and Applications in Computational Fluid Dynamics. Society for Industrial and Applied Mathematics, 2022. [2] Giovanni Stabile, Matteo Zancanaro, and Gianluigi Rozza. Efficient Geometrical parametrization for finite-volume based reduced order methods. International Journal for Numerical Methods in Engineering, 121(12):2655–2682, 2020.