Time Advancement of the Navier-Stokes Equations: p-Adaptive Exponential Methods
Open Access
- 1 January 2020
- journal article
- research article
- Published by Scientific Research Publishing, Inc. in Journal of Flow Control, Measurement & Visualization
- Vol. 08 (02), 63-76
- https://doi.org/10.4236/jfcmv.2020.82004
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.This publication has 9 references indexed in Scilit:
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