Scalable Hybridized DG and Exponential DG for Fluid Models

Major Activities

Advanced Tokamak simulations need rigorous high-order accuracy, efficient temporal simulations at desperately different scales.

  • We proposed and analyzed a high-order hybridized Discontinuous Galerkin (HDG) framework for MHD system to achieve stable and high-order accuracy in space
  • We proposed and analyzed multigrid, multilevel approaches for HDG
  • We proposed and analyzed high-order IMEX and exponential time integrators to over time-step limitation due to fast physics
  • We proposed and analyzed an hp-HDG for Friedrchs system

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Significant Results