Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6915906 | Computer Methods in Applied Mechanics and Engineering | 2016 | 22 Pages |
Abstract
The aim of this work is to propose an hp-adaptive algorithm for discontinuous Galerkin methods that is capable to detect the discontinuities and sharp layers and avoid the spurious oscillation of the solution around them. In order to control the spurious oscillations, artificial viscosity is used with the particularity that it is only applied around the layers where the solution changes abruptly. To do so, a novel troubled-cell detector has been developed in order to mark the elements around those layers and to impose linear order in them. The detector takes advantage of the evolution of the value of the gradient through the adaptive process.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Alba Hierro, Santiago Badia, Pavel Kus,