000061600 001__ 61600
000061600 005__ 20200221144127.0
000061600 0247_ $$2doi$$a10.1016/j.compfluid.2015.11.006
000061600 0248_ $$2sideral$$a93226
000061600 037__ $$aART-2016-93226
000061600 041__ $$aeng
000061600 100__ $$0(orcid)0000-0003-1161-7893$$aPascau, A.$$uUniversidad de Zaragoza
000061600 245__ $$aAn accurate discretization for an inhomogeneous transport equation with arbitrary coefficients and source
000061600 260__ $$c2016
000061600 5060_ $$aAccess copy available to the general public$$fUnrestricted
000061600 5203_ $$aA 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.
000061600 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000061600 590__ $$a2.313$$b2016
000061600 591__ $$aMECHANICS$$b32 / 133 = 0.241$$c2016$$dQ1$$eT1
000061600 591__ $$aCOMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS$$b36 / 105 = 0.343$$c2016$$dQ2$$eT2
000061600 592__ $$a1.008$$b2016
000061600 593__ $$aEngineering (miscellaneous)$$c2016$$dQ1
000061600 593__ $$aComputer Science (miscellaneous)$$c2016$$dQ1
000061600 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000061600 700__ $$aArici, M.
000061600 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000061600 773__ $$g125 (2016), 101-115$$pComput. fluids$$tComputers and Fluids$$x0045-7930
000061600 8564_ $$s263256$$uhttps://zaguan.unizar.es/record/61600/files/texto_completo.pdf$$yPostprint
000061600 8564_ $$s51949$$uhttps://zaguan.unizar.es/record/61600/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000061600 909CO $$ooai:zaguan.unizar.es:61600$$particulos$$pdriver
000061600 951__ $$a2020-02-21-13:04:02
000061600 980__ $$aARTICLE