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Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations

Author
Montlaur, A.; Fernandez, S.; Huerta, A.
Type of activity
Journal article
Journal
International journal for numerical methods in fluids
Date of publication
2008-07
Volume
57
Number
9
First page
1071
Last page
1092
DOI
https://doi.org/10.1002/fld.1716 Open in new window
Repository
http://hdl.handle.net/2117/8152 Open in new window
Abstract
A discontinuous Galerkin (DG) method with solenoidal approximation for the simulation of incompressible flow is proposed. It is applied to the solution of the Stokes equations. The interior penalty method is employed to construct the DG weak form. For every element, the approximation space for the velocity field is decomposed as the direct sum of a solenoidal space and an irrotational space. This allows to split the DG weak form into two uncoupled problems: the first one solves for the velocity ...
Citation
Montlaur, A.; Fernandez, S.; Huerta, A. Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations. "International journal for numerical methods in fluids", Juliol 2008, vol. 57, núm. 9, p. 1071-1092.
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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