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

Kompenhans, Moritz and Rubio Calzado, Gonzalo and Ferrer, Esteban and 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.

Description

Title: Adaptation strategies for high order discontinuous Galerkin methods based on Tau-estimation
Author/s:
  • Kompenhans, Moritz
  • Rubio Calzado, Gonzalo
  • Ferrer, Esteban
  • Valero Sánchez, Eusebio
Item Type: Article
Título de Revista/Publicación: Journal of Computational Physics
Date: February 2016
ISSN: 0021-9991
Volume: 306
Subjects:
Freetext Keywords: Anisotropic p-adaptation; High order; Discontinuous Galerkin; Tau-estimation (τ-estimation); Truncation error
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Otro
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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.

Funding Projects

TypeCodeAcronymLeaderTitle
FP7289428ANADEUNIVERSIDAD POLITECNICA DE MADRIDAdvances in Numerical and Analytical tools for DEtached flow prediction
FP7324298NNATACUNIVERSIDAD POLITECNICA DE MADRIDNew Numerical and Analytical Tools for Aerodynamic flow Control

More information

Item ID: 39460
DC Identifier: http://oa.upm.es/39460/
OAI Identifier: oai:oa.upm.es:39460
DOI: 10.1016/j.jcp.2015.11.032
Official URL: https://doi.org/10.1016/j.jcp.2015.11.032
Deposited by: Memoria Investigacion
Deposited on: 30 Mar 2016 17:19
Last Modified: 10 Jun 2019 10:42
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