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Variational multiscale error estimators for the adaptive mesh refinement of compressible flow simulations

Author
Bayona, C.; Codina, R.; Baiges, J.
Type of activity
Journal article
Journal
Computer methods in applied mechanics and engineering
Date of publication
2018-08
Volume
337
First page
501
Last page
526
DOI
https://doi.org/10.1016/j.cma.2018.03.010 Open in new window
Repository
http://hdl.handle.net/2117/118181 Open in new window
https://www.researchgate.net/publication/322071945_Variational_Multiscale_error_estimators_for_the_adaptive_mesh_refinement_of_compressible_flow_simulations Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S0045782518301336 Open in new window
Abstract
This article investigates an explicit a-posteriori error estimator for the finite element approximation of the compressible Navier–Stokes equations. The proposed methodology employs the Variational Multi-Scale framework, and specifically, the idea is to use the variational subscales to estimate the error. These subscales are defined to be orthogonal to the finite element space, dynamic and non-linear, and both the subscales in the interior of the element and on the element boundaries are consi...
Citation
Bayona, C., Codina, R., Baiges, J. Variational multiscale error estimators for the adaptive mesh refinement of compressible flow simulations. "Computer methods in applied mechanics and engineering", Agost 2018, vol. 337, p. 501-526.
Keywords
A-posteriori local error estimation, Adaptive Mesh Refinement (AMR), Compressible Navier–Stokes equations, Orthogonal Sub-Grid Scales (OSGS), Variational Multi-Scale (VMS) method
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants