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000096100 005__ 20201113102333.0
000096100 0248_ $$2sideral$$a120609
000096100 037__ $$aART-2016-120609
000096100 041__ $$aeng
000096100 100__ $$0(orcid)0000-0003-3570-0202$$aLlorente, V.$$uUniversidad de Zaragoza
000096100 245__ $$aComparison of the ENATE approach and discontinuous Galerkin spectral element method in 1D nonlinear transport equations
000096100 260__ $$c2016
000096100 5060_ $$aAccess copy available to the general public$$fUnrestricted
000096100 5203_ $$aIn 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.
000096100 536__ $$9info:eu-repo/grantAgreement/ES/DGA/T21
000096100 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttp://creativecommons.org/licenses/by-nc/3.0/es/
000096100 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000096100 700__ $$aRubio, G.
000096100 700__ $$0(orcid)0000-0003-1161-7893$$aPascau, A.$$uUniversidad de Zaragoza
000096100 700__ $$aFerrer, E.
000096100 700__ $$aArici, M.
000096100 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000096100 773__ $$g23, 2-3 (2016), 133-146$$tComputer Assisted Methods in Engineering and Science$$x2299-3649
000096100 85641 $$uhttps://cames.ippt.pan.pl/index.php/cames/article/view/168$$zTexto completo de la revista
000096100 8564_ $$s926830$$uhttps://zaguan.unizar.es/record/96100/files/texto_completo.pdf$$yVersión publicada
000096100 8564_ $$s16343$$uhttps://zaguan.unizar.es/record/96100/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000096100 909CO $$ooai:zaguan.unizar.es:96100$$particulos$$pdriver
000096100 951__ $$a2020-11-13-08:43:24
000096100 980__ $$aARTICLE