TITLE:
Time Advancement of the Navier-Stokes Equations: p-Adaptive Exponential Methods
AUTHORS:
Shujie Li
KEYWORDS:
Exponential Time Discreitzation, Navier-Stokes Equation, Discontinuous Galerkin, Curved Grids
JOURNAL NAME:
Journal of Flow Control, Measurement & Visualization,
Vol.8 No.2,
April
30,
2020
ABSTRACT: An adaptive exponential time advancement framework is developed for solving the multidimensional Navier-Stokes equations with a variable-order discontinuous Galerkin (DG) discretization on hybrid unstructured curved grids. The adaptive framework is realized with cell-wise, variable-order DG refinements and a dynamic assembly of elemental Jacobian matrices. The accuracy and performance gain are investigated for several benchmark cases up to a realistic, three-dimensional rotor flow. Numerical results are shown to be more efficient than the use of uniform-order exponential DG for simulating viscous flows.