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A simple shock-capturing technique for high-order discontinuous Galerkin methods

Author
Huerta, A.; Casoni, E.; Peraire, J.
Type of activity
Journal article
Journal
International journal for numerical methods in fluids
Date of publication
2012-08
Volume
69
Number
10
First page
1614
Last page
1632
DOI
https://doi.org/10.1002/fld.2654 Open in new window
Repository
http://hdl.handle.net/2117/79336 Open in new window
URL
http://onlinelibrary.wiley.com/doi/10.1002/fld.2654/abstract Open in new window
Abstract
This article presents a novel shock-capturing technique for the discontinuous Galerkin (DG) method. The technique is designed for compressible flow problems, which are usually characterized by the presence of strong shocks and discontinuities. The inherent structure of standard DG methods seems to suggest that they are especially adapted to capture shocks because of the numerical fluxes based on suitable approximate Riemann solvers, which, in practice, introduces some stabilization. However, the...
Citation
Huerta, A., Casoni, E., Peraire, J. A simple shock-capturing technique for high-order discontinuous Galerkin methods. "International journal for numerical methods in fluids", Agost 2012, vol. 69, núm. 10, p. 1614-1632.
Keywords
Adaptivity, Compressible flow, Discontinous enrichment, Discontinuous Galerkin, Euler equations, Euler flow, High order, Shock-capturing
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

Participants

  • Huerta, Antonio  (author)
  • Casoni Rero, Eva  (author)
  • Peraire Guitart, Jaume  (author)

Attachments