61600 20200221144127.0 doi 10.1016/j.compfluid.2015.11.006 sideral 93226 ART-2016-93226 eng (orcid)0000-0003-1161-7893 Pascau, A. Universidad de Zaragoza An accurate discretization for an inhomogeneous transport equation with arbitrary coefficients and source 2016 Access copy available to the general public Unrestricted A new way of obtaining the algebraic relation between the nodal values in a general one-dimensional transport equation is presented. The equation can contain an arbitrary source and both the convective flux and the diffusion coefficient may vary arbitrarily. Contrary to the usual approach of approximating the derivatives involved, the algebraic relation is based on the exact solution written in integral terms. The required integrals can be speedily evaluated by approximating the integrand with Hermite splines or applying Gauss quadrature rules. The startling point about the whole procedure is that a very high accuracy can be obtained with few nodes, and more surprisingly, it can be increased almost up to machine accuracy by augmenting the number of quadrature points or the Hermite spline degree with little extra cost. info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.313 2016 MECHANICS 32 / 133 = 0.241 2016 Q1 T1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS 36 / 105 = 0.343 2016 Q2 T2 1.008 2016 Engineering (miscellaneous) 2016 Q1 Computer Science (miscellaneous) 2016 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Arici, M. 5001 600 Universidad de Zaragoza Dpto. Ciencia Tecnol.Mater.Fl. Área Mecánica de Fluidos 125 (2016), 101-115 Comput. fluids Computers and Fluids 0045-7930 263256 http://zaguan.unizar.es/record/61600/files/texto_completo.pdf Postprint 51949 http://zaguan.unizar.es/record/61600/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:61600 articulos driver 2020-02-21-13:04:02 ARTICLE