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Multiscale modeling: recent progress and open questions

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Abstract

Many important scientific problems are inherently multi scale. This is, for instance, the case in models in material science or environmental science. A big challenge is to formulate generic frameworks for multiscale modeling and simulation. Despite its importance, the scientific community still lacks a well-accepted generic methodology to address multiscale computating. We review a recent theoretical framework which aims at filling this gap. We also present new results and extension in relation with scale bridging methods and execution multiscale simulation on HPC systems, and discuss open questions related to this topic.

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Acknowledgements

The authors acknowledge financial support from the Swiss Initiative PASC, from CADMOS, and from the COMPAT EU Project. BC, JLF, and PK thank Constanza Bonadonna for the collaboration on the model for volcanic ashes. BC thanks Alireza Yasdani for stimulating discussions on the amplification scale bridging techniques. On behalf of all authors, the corresponding author states that there is no conflict of interest.

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Authors and Affiliations

  1. Computer Science Department, University of Geneva, Geneva, Switzerland

    Bastien Chopard, Jean-Luc Falcone & Pierre Kunzli

  2. Netherlands eScience Center, Amsterdam, The Netherlands

    Lourens Veen

  3. Computational Science Lab, University of Amsterdam, Amsterdam, The Netherlands

    Alfons Hoekstra

  4. ITMO University, Saint-Petersbourg, Russia

    Alfons Hoekstra

Authors
  1. Bastien Chopard
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  2. Jean-Luc Falcone
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  3. Pierre Kunzli
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  4. Lourens Veen
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  5. Alfons Hoekstra
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Corresponding author

Correspondence to Bastien Chopard.

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Chopard, B., Falcone, JL., Kunzli, P. et al. Multiscale modeling: recent progress and open questions. Multiscale and Multidiscip. Model. Exp. and Des. 1, 57–68 (2018). https://doi.org/10.1007/s41939-017-0006-4

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  • DOI: https://doi.org/10.1007/s41939-017-0006-4

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