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A Characteristic-Based Spectral Element Method for Moving-Domain Problems

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Abstract

In this paper, we present a characteristic-based numerical procedure for simulating incompressible flows in domains with moving boundaries. Our approach utilizes an operator-integration-factor splitting technique to help produce an efficient and stable numerical scheme. Using the spectral element method and an arbitrary Lagrangian–Eulerian formulation, we investigate flows where the convective acceleration effects are non-negligible. Several examples, ranging from laminar to turbulent flows, are considered. Comparisons with a standard, semi-implicit time-stepping procedure illustrate the improved performance of our scheme.

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Acknowledgements

This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research, under Contract DE-AC02-06CH11357. The research also used resources of the Argonne Leadership Computing Facility, which is supported by the U.S. Department iof Energy, Office of Science, under Contract DE-AC02-06CH11357.

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Authors and Affiliations

  1. Leadership Computing Facility at Argonne National Laboratory, Lemont, IL, USA

    Saumil Patel

  2. Argonne National Laboratory and University of Illinois at Urbana-Champaign, Urbana, IL, USA

    Paul Fischer

  3. Mathematics and Computer Science Division at Argonne National Laboratory, Lemont, IL, USA

    Misun Min

  4. Argonne National Laboratory and Aristotle University of Thessaloniki, Thessaloniki, Greece

    Ananias Tomboulides

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  1. Saumil Patel
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  2. Paul Fischer
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  4. Ananias Tomboulides
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Correspondence to Saumil Patel.

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Patel, S., Fischer, P., Min, M. et al. A Characteristic-Based Spectral Element Method for Moving-Domain Problems. J Sci Comput 79, 564–592 (2019). https://doi.org/10.1007/s10915-018-0876-6

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