Comparison of the ENATE approach and discontinuous Galerkin spectral element method in 1D nonlinear transport equations
Llorente, V. (Universidad de Zaragoza) ; Rubio, G. ; Pascau, A. (Universidad de Zaragoza) ; Ferrer, E. ; Arici, M.
Resumen: In this paper a comparison of the performance of two ways of discretizing the nonlinear convection-diffusion equation in a one-dimensional (1D) domain is performed. The two approaches can be considered within the class of high-order methods. The first one is the discontinuous Galerkin method, which has been profusely used to solve general transport equations, either coupled as the Navier-Stokes equations, or on their own. On the other hand, the ENATE procedure (Enhanced Numerical Approximation of a Transport Equation), uses the exact solution to obtain an exact algebraic equation with integral coefficients that link nodal values with a three-point stencil. This paper is the first of thorough assessments of ENATE by comparing it with well-established high-order methods. Several test cases of the steady Burgers' equation with and without source have been chosen for comparison.
Idioma: Inglés
Año: 2016
Publicado en: Computer Assisted Methods in Engineering and Science 23, 2-3 (2016), 133-146
ISSN: 2299-3649
Originalmente disponible en: Texto completo de la revista
Financiación: info:eu-repo/grantAgreement/ES/DGA/T21
Tipo y forma: Article (Published version)
Área (Departamento): Área Mecánica de Fluidos (Dpto. Ciencia Tecnol.Mater.Fl.)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes.
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Idioma: Inglés
Año: 2016
Publicado en: Computer Assisted Methods in Engineering and Science 23, 2-3 (2016), 133-146
ISSN: 2299-3649
Originalmente disponible en: Texto completo de la revista
Financiación: info:eu-repo/grantAgreement/ES/DGA/T21
Tipo y forma: Article (Published version)
Área (Departamento): Área Mecánica de Fluidos (Dpto. Ciencia Tecnol.Mater.Fl.)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. Exportado de SIDERAL (2020-11-13-08:43:24)
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Record created 2020-11-13, last modified 2020-11-13