An adaptive discontinuous galerkin time-domain method for multiphysics and multiscale simulations

Su Yan, Jiwei Qian, Jian Ming Jin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Numerical simulations of multiphysics problems require not only an accurate solution of all the physical phenomena involved, but also an accurate representation of inter-physical couplings. As a natural consequence of the mutual couplings between different physics, most multiphysics problems are also multiscale problems. They can be geometrical, spatial, and temporal multiscales, and can span over several orders of magnitude in terms of the respective characteristics. To accurately simulate such a multiphysics and multiscale problem, it is essential that the multiscale couplings between different physics are properly modeled and simulated. In a numerical simulation, one can use either finer geometrical meshes or higher polynomial orders to resolve a smaller spatial feature, known as the h - and p-refinement, respectively. Unfortunately, since the multiphysics coupling is a dynamic process, the small spatial features of the physics can evolve and propagate in both space and time. In this case, a static refinement does not work well and the h - or p-refinement has to be performed in a dynamic fashion, which results in a numerical system with a not only large but also time-varying size. As a result, the application of h - or p-refinement becomes extremely expensive and impractical to apply.

Original languageEnglish (US)
Title of host publicationProceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages1
ISBN (Electronic)9781728105635
DOIs
StatePublished - Sep 2019
Event21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019 - Granada, Spain
Duration: Sep 9 2019Sep 13 2019

Publication series

NameProceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019

Conference

Conference21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019
CountrySpain
CityGranada
Period9/9/199/13/19

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Geophysics
  • Radiation
  • Modeling and Simulation
  • Statistics and Probability
  • Instrumentation

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  • Cite this

    Yan, S., Qian, J., & Jin, J. M. (2019). An adaptive discontinuous galerkin time-domain method for multiphysics and multiscale simulations. In Proceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019 [8879292] (Proceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICEAA.2019.8879292