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Persson, P.-O. and Peraire, J. (2006) Sub-Cell Shock Capturing for Discontinuous Galerkin Methods. 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, 9-12 January 2006, AIAA Paper 2006-112.
https://doi.org/10.2514/6.2006-112

has been cited by the following article:

• 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.