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Analysis of institutional authors

Llorente, Victor JAuthor

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January 2, 2023
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Extension of an exponential discretization scheme to multidimensional convection-diffusion problems

Publicated to: Computers & Fluids. 251 - 2023-01-01 251(), DOI: 10.1016/j.compfluid.2022.105740

Authors:

Llorente, VJ; Pascau, A
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Affiliations

Univ Politecn Madrid, Ctr Computat Simulat, Campus Montegancedo, Madrid 28660, Spain - Author
Univ Politecn Madrid, Sch Aeronaut, ETSIAE UPM, Plaza Cardenal Cisneros 3, E-28040 Madrid, Spain - Author
Univ Zaragoza, Fluid Mech, I3A EINA, Zaragoza 50018, Spain - Author
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Abstract

ENATE (Enhanced Numerical Approximation of a Transport Equation) is a high-order exponential scheme for convection-diffusion problems, such as those that govern the transport of fluid properties in a flow field. The scheme was intended to be employed in fluid-related transport equations, although it can be used for any inhomogeneous second-order ordinary differential equation. The value of a variable 0 at a generic point is related to those of adjacent nodes via an algebraic equation. Thus, a three-point stencil is associated to each node. The coefficients of this equation contain integrals of some fluid and flow parameters. One important property is that the scheme allows to obtain a machine-accurate solution of an inhomogeneous transport equation if these integrals can be obtained analytically. As the scheme is essentially one-dimensional, getting the machine-accurate solution of multidimensional problems is not guaranteed even in cases where ENATE integrals are analytic along each coordinate. In this regard the paper presents a simple way of getting solutions in multidimensional problems while still using the one-dimensional formulation. Moreover, if the problem is such that the solution is machine-accurate in the one-dimensional problem along coordinate lines, it will also be for the multidimensional domain. Two different methods of evaluating those terms that come out of the discretization will be explained and compared in various cases.
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Keywords

CoefficientsConvection diffusion problemsDiffusion in liquidsEnateEnhanced numerical approximation of a transport equationExponential schemeExponential schemesExponentialsFinite-difference schemesFluid mechanicsMultidimensional convection-diffusionMultidimensional convection–diffusion problemMultidimensional convection–diffusion problemsMultidimensional problemsNumerical approximationsNumerical-solutionsOne-dimensionalOrdinary differential equationsProblemsTransport equationTransport propertiesTransport-equation

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Computers & Fluids due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2023, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Engineering (Miscellaneous).

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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-12-21:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 7.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 7 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 1.
  • The number of mentions on the social network X (formerly Twitter): 1 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
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Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (LLORENTE LAZARO, VICTOR JAVIER) .

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Awards linked to the item

The study was supported by the European Union through FEDER funding and Diputacion General de Aragon Construyendo Europadesde Aragon [Government of Aragon Building Europe from Aragon],support that is gratefully acknowledged.
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