Abstract
Compressible multi-phase simulations in the homogeneous equilibrium limit are generally based on real equations of state (EOS). The direct evaluation of such EOS is typically too expensive. Look-up tables, based on modern data-structures significantly, reduce the computation time while simultaneously increasing the memory requirements during the simulation. In the context of binary mixtures and large scale simulations this trade off is even more important due to the limited memory resources available on high performance computers. Therefore, in this work we propose an extension of our tabulation approach to shared memory trees based on MPI 3.0. A detailed analysis of benefits and drawbacks concerning the shared memory and the non-shared memory data-structure is described. Another research topic investigates the diffuse interface model of the isothermal Navier–Stokes–Korteweg equations. A parabolic relaxation model is implemented in the open-source code FLEXI and 3D simulations of binary head on collisions at various model parameters are shown.
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Acknowledgements
We gratefully acknowledge the Deutsche Forschungsgemeinschaft (DFG) through SFB-TRR 40 “Fundamental Technologies for the Development of Future Space-Transport-System Components under High Thermal and Mechanical Loads” and SFB-TRR 75 “Droplet dynamics under extreme ambient conditions” Computational resources have been provided by the Bundes-Höchstleistungsrechenzentrum Stuttgart (HLRS).
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Föll, F., Hitz, T., Keim, J., Munz, CD. (2021). Towards High-Fidelity Multiphase Simulations: On the Use of Modern Data Structures on High Performance Computers. In: Nagel, W.E., Kröner, D.H., Resch, M.M. (eds) High Performance Computing in Science and Engineering '19. Springer, Cham. https://doi.org/10.1007/978-3-030-66792-4_25
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