The starting phase involved organizational tasks, the recruitment of the fellows, and the organization of network-wide training activities. The intensive training of the ESRs has been completed, and they had the opportunity to present their work in Workshops and at international conferences. The concept of creating, for a complete industrial product or process, a model hierarchy ranging from fine grain detailed models to very coarse and simplified models is a highly innovative concept. In ROMSOC it is combined with the emphasis of retaining the parameter dependence, the coupling of different physical phenomena, and to adapt to user defined accuracy and efficiency desires. This requires a close interaction of academia and industry and the training of qualified professionals that can operate on this interface. First steps in the research projects have been taken and first results including a selection of benchmark cases have been delivered.
ESR1: In a feasibility study possible algorithms for the European Extremely Large Telescope instrument MAORY in terms of computational performance were analysed. A parallel GPU implementation was achieved.
ESR2: A coupled model for porous-fluid interactions in no-flow conditions was developed. A compatibility study of different porous models with different materials is performed.
ESR3: Using the Optimal Transportation formulation of the far field/point source reflector problem, the Entropic regularization methods and the companion Sinkhorn algorithm have been adapted. The efficiency of the method could be enhanced.
ESR4: A network implementation has been achieved to deploy the deep image prior/ regularization by architecture approach to Magnetic Particle Imaging (MPI).
ESR5: Considering the objectives set out by ST Microelectronics, a benchmark case has been constructed for the coupling of multirate and MOR techniques for circuit simulation. A more general framework is under construction for a wider array of circuit components and physical aspects.
ESR6: A MOR approach has been developed for high dimensional convection-diffusion reaction PDEs arising in computational finance. For efficient parameter sampling, an adaptive greedy-POD approach has been introduced.
ESR7: Together with the industry partner DB the requirements for modelling crew and vehicle scheduling have been collected. An optimization model to cover all necessary application aspects has been compiled. Preliminary computational results were achieved for real-world planning data.
ESR8: A methodology for the real time solution of inverse heat transfer problems was identified and adapted to continuous casting molds. An ad hoc MOR technique for the mentioned methodology was developed.
ESR9: Numerical approaches for fluid-structure interaction (FSI) problems in blood pump systems have been studied as well as the membrane-based technology developed at CorWave Inc. A software in the FEM library LIFEV for 3D fluid-structure interaction simulations has been developed.
ESR10: The modelling of thermo-hydro-mechanical phenomena arising in blast furnaces is studied with particular focus on MOR and numerical simulation. New MOR techniques for coupled problems and the application to coupled thermo-mechanical problems in the blast furnace hearth process have been proposed.
ESR11: The analysis and numerics of Navier-Stokes equations and turbulence models to model high Reynolds numbers fluid flow has been studied. Fluid flow simulations with real-world data were conducted as a basis to run shape optimization subject to fluid flow.
