Memorias de investigación
Artículos en revistas:
The estimation of truncation error by tau-estimation revisited
Año:2011
Áreas de investigación
  • Ecuaciones hiperbólicas,
  • Análisis de error
Datos
Descripción
The aim of this paper was to accurately estimate the local truncation error of partial differential equations, that are numerically solved using a finite difference or finite volume approach on structured and unstructured meshes. In this work, we approximated the local truncation error using the $\tau$-estimation procedure, which aims to compare the residuals on a sequence of grids with different spacing. First, we focused the analysis on one-dimensional scalar linear and non-linear test cases to examine the accuracy of the estimation of the truncation error for both finite difference and finite volume approaches on different grid topologies. Then, we extended the analysis to two-dimensional problems: first on linear and non-linear scalar equations and finally on the Euler equations. We demonstrated that this approach yields a highly accurate estimation of the truncation error if some conditions are fulfilled. These conditions are related to the accuracy of the restriction operators, the choice of the boundary conditions, the distortion of the grids and the magnitude of the iteration error.
Internacional
Si
JCR del ISI
Si
Título de la revista
Journal of Computational Physics
ISSN
0021-9991
Factor de impacto JCR
2,31
Información de impacto
Volumen
231
DOI
10.1016/j.jcp.2011.09.031
Número de revista
Desde la página
3457
Hasta la página
3482
Mes
MAYO
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Participantes
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Métodos y Aplicaciones Numéricas a la Tecnología Aeroespacial
  • Departamento: Matemática Aplicada y Estadística