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Tutorial on Hybridizable Discontinuous Galerkin (HDG) formulation for incompressible flow problems

Author
Giacomini, M.; Sevilla, R.; Huerta, A.
Type of activity
Book chapter
Book
Modeling in engineering using innovative numerical methods for solids and fluids
First page
163
Last page
201
Publisher
Springer
Date of publication
2020-02-09
ISBN
978-3-030-37517-1 Open in new window
DOI
10.1007/978-3-030-37518-8
Repository
http://hdl.handle.net/2117/183517 Open in new window
Abstract
A hybridizable discontinuous Galerkin (HDG) formulation of the linearized incompressible Navier-Stokes equations, known as Oseen equations, is presented. The Cauchy stress formulation is considered and the symmetry of the stress tensor and the mixed variable, namely the scaled strain-rate tensor, is enforced pointwise via Voigt notation. Using equal-order polynomial approximations of degree k for all variables, HDG provides a stable discretization. Moreover, owing to Voigt notation, optimal conv...
Citation
Giacomini, M.; Sevilla, R.; Huerta, A. Tutorial on Hybridizable Discontinuous Galerkin (HDG) formulation for incompressible flow problems. A: "Modeling in engineering using innovative numerical methods for solids and fluids". Berlín: Springer, 2020, p. 163-201.
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

Participants

  • Giacomini, Matteo  (author)
  • Sevilla Cárdenas, Rubén  (author)
  • Huerta, Antonio  (author)