On the robustness and performance of entropy stable collocated discontinuous Galerkin methods
AuthorsRojas, Diego B.
Del Rey Fernández, David C.
Keyes, David E.
KAUST DepartmentApplied Mathematics and Computational Science Program
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Extreme Computing Research Center
Office of the President
Online Publication Date2020-10-22
Print Publication Date2020-10
Embargo End Date2022-10-22
Permanent link to this recordhttp://hdl.handle.net/10754/665707
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AbstractIn computational fluid dynamics, the demand for increasingly multidisciplinary reliable simulations, for both analysis and design optimization purposes, requires transformational advances in individual components of future solvers. At the algorithmic level, hardware compatibility and efficiency are of paramount importance in determining viability at exascale and beyond. However, equally important (if not more so) is algorithmic robustness with minimal user intervention, which becomes progressively more challenging to achieve as problem size and physics complexity increase. We numerically show that low and high order entropy stable collocated discontinuous Galerkin discretizations based on summation-by-part operators and simultaneous-approximationterms technique provide an essential step toward a truly enabling technology in terms of reliability and robustness for both under-resolved turbulent flow simulations and flows with discontinuities.
CitationRojas, D., Boukharfane, R., Dalcin, L., Del Rey Fernández, D. C., Ranocha, H., Keyes, D. E., & Parsani, M. (2020). On the robustness and performance of entropy stable collocated discontinuous Galerkin methods. Journal of Computational Physics, 109891. doi:10.1016/j.jcp.2020.109891
SponsorsThe research reported in this paper was funded by King Abdullah University of Science and Technology. We are thankful for the computing resources of the Supercomputing Laboratory and the Extreme Computing Research Center at King Abdullah University of Science and Technology.
JournalJournal of Computational Physics