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Comparison of high-order continuous and hybridizable discontinuous alerkin methods in incompressible fluid flow problems

Author
Paipuri, M.; Fernandez, S.; Tiago, C.
Type of activity
Journal article
Journal
Mathematics and computers in simulation
Date of publication
2018-10-01
Volume
153
First page
35
Last page
58
DOI
10.1016/j.matcom.2018.05.012
Project funding
Development and Analysis of HDG Formulations for Heretogeneous problems in Computational Fluid Dynamics
Grup de recerca consolidat: Grup de mètodes numèrics en ciències aplicades i enginyeria
Repository
http://hdl.handle.net/2117/131081 Open in new window
URL
https://www.sciencedirect.com/science/article/abs/pii/S0378475418301241?via%3Dihub Open in new window
Abstract
The computational efficiency and the stability of Continuous Galerkin (CG) methods, with Taylor–Hood approximations, and Hybridizable Discontinuous Galerkin (HDG) methods are compared for the solution of the incompressible Stokes and Navier–Stokes equations at low Reynolds numbers using direct solvers. A thorough comparison in terms of CPU time and accuracy for both discretization methods is made, under the same platform, for steady state problems, with triangular and quadrilateral elements ...
Citation
Paipuri, M.; Fernandez, S.; Tiago, C. Comparison of high-order continuous and hybridizable discontinuous {G}alerkin methods in incompressible fluid flow problems. "Mathematics and computers in simulation", 1 Octubre 2018, vol. 153, p. 35-58.
Keywords
Efficiency, Hybridizable discontinuous Galerkin, Navier–Stokes, Stability, Taylor–Hood finite elements
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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