Adaptation strategies for high order discontinuous Galerkin methods based on Tau-estimation

Kompenhans, Moritz; Rubio Calzado, Gonzalo; Ferrer, Esteban y Valero Sánchez, Eusebio (2016). Adaptation strategies for high order discontinuous Galerkin methods based on Tau-estimation. "Journal of Computational Physics", v. 306 ; pp. 216-236. ISSN 0021-9991. https://doi.org/10.1016/j.jcp.2015.11.032.

Descripción

Título: Adaptation strategies for high order discontinuous Galerkin methods based on Tau-estimation
Autor/es:
  • Kompenhans, Moritz
  • Rubio Calzado, Gonzalo
  • Ferrer, Esteban
  • Valero Sánchez, Eusebio
Tipo de Documento: Artículo
Título de Revista/Publicación: Journal of Computational Physics
Fecha: Febrero 2016
Volumen: 306
Materias:
Palabras Clave Informales: Anisotropic p-adaptation; High order; Discontinuous Galerkin; Tau-estimation (τ-estimation); Truncation error
Escuela: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Departamento: Otro
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

In this paper three p-adaptation strategies based on the minimization of the truncation error are presented for high order discontinuous Galerkin methods. The truncation error is approximated by means of a ? -estimation procedure and enables the identification of mesh regions that require adaptation. Three adaptation strategies are developed and termed a posteriori, quasi-a priori and quasi-a priori corrected. All strategies require fine solutions, which are obtained by enriching the polynomial order, but while the former needs time converged solutions, the last two rely on non-converged solutions, which lead to faster computations. In addition, the high order method permits the spatial decoupling for the estimated errors and enables anisotropic p-adaptation. These strategies are verified and compared in terms of accuracy and computational cost for the Euler and the compressible Navier?Stokes equations. It is shown that the two quasi- a priori methods achieve a significant reduction in computational cost when compared to a uniform polynomial enrichment. Namely, for a viscous boundary layer flow, we obtain a speedup of 6.6 and 7.6 for the quasi-a priori and quasi-a priori corrected approaches, respectively.

Proyectos asociados

TipoCódigoAcrónimoResponsableTítulo
FP7PITN-GA-289428ANADEUNIVERSIDAD POLITECNICA DE MADRIDAdvances in Numerical and Analytical tools for DEtached flow prediction

Más información

ID de Registro: 39460
Identificador DC: http://oa.upm.es/39460/
Identificador OAI: oai:oa.upm.es:39460
Identificador DOI: 10.1016/j.jcp.2015.11.032
Depositado por: Memoria Investigacion
Depositado el: 30 Mar 2016 17:19
Ultima Modificación: 30 Mar 2016 17:19
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