Hybridizable Discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations
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 e...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/28520 |
| Acceso en línea: | https://hdl.handle.net/2117/28520 https://dx.doi.org/10.1016/j.compfluid.2014.01.011 |
| Access Level: | acceso abierto |
| Palabra clave: | 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 Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres |
| Sumario: | 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. |
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