Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Quasi-A Priori Truncation Error Estimation in the DGSEM
Year:2014
Research Areas
  • Hiperbolic equations,
  • Spectral theory and eigenvalues,
  • Error analysis,
  • Numerical analysis on equations on partial differential,
  • Aeronautical engineering
Information
Abstract
In this paper we show how to accurately perform a quasi-a priori estimation of the truncation error of steady-state solutions computed by a discontinuous Galerkin spectral element method. We estimate the spatial truncation error using the ?-estimation procedure. While most works in the literature rely on fully time-converged solutions on grids with different spacing to perform the estimation, we use non time-converged solutions on one grid with different polynomial orders. The quasi-a priori approach estimates the error while the residual of the time-iterative method is not negligible. Furthermore, the method permits one to decouple the surface and the volume contributions of the truncation error, and provides information about the anisotropy of the solution as well as its rate of convergence in polynomial order. First, we focus on the analysis of one dimensional scalar conservation laws to examine the accuracy of the estimate. Then, we extend the analysis to two dimensional problems. We demonstrate that this quasi-a priori approach yields a spectrally accurate estimate of the truncation error.
International
Si
JCR
Si
Title
Journal of Scientific Computing
ISBN
0885-7474
Impact factor JCR
1,698
Impact info
Datos JCR del año 2013
Volume
10.1007/s10915-014-9938-6
Journal number
From page
1
To page
31
Month
OCTUBRE
Ranking
Participants
  • Autor: Gonzalo Rubio Calzado (UPM)
  • Autor: Francois Fraysse . (UPM)
  • Autor: David A. Kopriva (The Florida State University)
  • Autor: Eusebio Valero Sanchez (UPM)
Research Group, Departaments and Institutes related
  • Creador: Departamento: Matemática Aplicada a la Ingeniería Aeroespacial
S2i 2019 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)