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.)