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Hybridizable Discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations
Giorgiani, Giorgio; Fernandez Mendez, Sonia; Huerta, Antonio
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
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.
Peer Reviewed
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
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/submittedVersion
Artículo
Elsevier
         

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