0729 Advances in High-Order Methods for Computational Fluid Dynamics

  • Krzysztof Fidkowski, University Of Michigan
  • Per-Olof Persson, U.C. Berkeley
  • Chunlei Liang, Clarkson University
  • Ngoc Cuong Nguyen, Massachusetts Institute of Technology

High-order methods in computational fluid dynamics have been studied in earnest for over two decades, but still face algorithmic challenges related to robustness and efficiency that prevent their widespread use. The focus of this minisymposium is on theoretical advances in high-order numerical methods aimed at overcoming these challenges, as well as application demonstrations that stress the limits of high order and identify new challenges. Numerical methods in the scope of this minisymposium include finite volume, (weighted) essentially non-oscillatory, continuous/discontinuous Galerkin finite element, spectral difference/volume methods, and other related discretizations. Relevant topics include, but are not restricted to, spatial discretization, time integration, shock capturing, mesh generation, error estimation, adaptivity, visualization, implementations on novel architectures, hybrid methods, scale-resolving simulations, magnetohydrodynamics, and innovative uses of machine learning methods. Of interest is also work in high-performance computing that is related to high-order methods, including GPU implementations and quantum computing.

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