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Título:	Hybridizable Discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations
Autor/a:	Giorgiani, Giorgio; Fernández Méndez, Sonia; Huerta, Antonio
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
Abstract:	A degree adaptive Hybridizable Discontinuous Galerkin (HDG) method for the solution of the incompressible Navier-Stokes equations is presented. The key ingredient is an accurate and computationally inexpensive a posteriori error estimator based on the super-convergence properties of HDG. The error estimator drives the local modification of the approximation degree in the elements and faces of the mesh, aimed at obtaining a uniform error distribution below a user-given tolerance in a given output of interest. Three 2D numerical examples are presented. High efficiency of the proposed error estimator is found, and an important reduction of the computational effort is shown with respect to non-adaptive computations, both for steady state and transient simulations. (C) 2014 Published by Elsevier Ltd.
Abstract:	Peer Reviewed
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres -Number theory -Hybrid methods -Discontinuous Galerkin -Navier-Stokes equations -CFD -p-Adaptivity -High-order -Hybridizable Discontinuous Galerkin -2ND-ORDER ELLIPTIC PROBLEMS -DEGREE HDG METHODS -ERROR ESTIMATION -NONCONFORMING MESHES -FUNCTIONAL OUTPUTS -WEAK SOLUTIONS -PART II -BOUNDS -FLOW -APPROXIMATIONS -Nombres, Teoria dels -Classificació AMS::11 Number theory::11F Discontinuous groups and automorphic forms
Derechos:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipo de documento:	Artículo - Versión presentada Artículo
Editor:	Elsevier
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