%0 Journal Article
%T Time Advancement of the Navier-Stokes Equations: <i>p</i>-Adaptive Exponential Methods
%A Shujie Li
%J Journal of Flow Control, Measurement & Visualization
%P 63-76
%@ 2329-3330
%D 2020
%I Scientific Research Publishing
%R 10.4236/jfcmv.2020.82004
%X 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.
%K Exponential Time Discreitzation
%K Navier-Stokes Equation
%K Discontinuous Galerkin
%K Curved Grids
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=100234