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Analysis of institutional authors

Lodares DCorresponding AuthorManzanero J.AuthorFerrer E.AuthorValero E.Author

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February 14, 2022
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An entropy–stable discontinuous Galerkin approximation of the Spalart–Allmaras turbulence model for the compressible Reynolds Averaged Navier–Stokes equations

Publicated to:Journal Of Computational Physics. 455 110998- - 2022-02-08 455(), DOI: 10.1016/j.jcp.2022.110998

Authors: Lodares, Diego; Manzanero, Juan; Ferrer, Esteban; Valero, Eusebio

Affiliations

Airbus Def & Space, Avda John Lennon S-N, Getafe 28906, Spain - Author
Airbus Defence and Space , Universidad Politécnica de Madrid - Author
Univ Politecn Madrid, Ctr Computat Simulat, Campus Montegancedo, Madrid 28660, Spain - Author
Univ Politecn Madrid, ETSIAE UPM Sch Aeronaut, Plaza Cardenal Cisneros 3, E-28040 Madrid, Spain - Author
Universidad Politécnica de Madrid - Author
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Abstract

We present an entropy–stable formulation for the compressible Reynolds Averaged Navier–Stokes (RANS) Discontinuous Galerkin (DG) equations and the Spalart–Allmaras one–equation closure. The model is designed to satisfy an entropy law, which includes free– and no–slip wall boundary conditions. We then construct a high–order DG approximation of the model that satisfies the summation–by–parts simultaneous–approximation–term (SBP-SAT) property. With the help of a discrete stability analysis, we construct two approximations: a kinetic energy preserving scheme based on Pirozzoli's two–point flux and a thermodynamic entropy conserving one based on Chandrashekar's split–form. The schemes are applicable to, and the stability proofs hold for, three–dimensional unstructured meshes with curvilinear hexahedral elements. We test the convergence of the schemes on a manufactured solution for increasing polynomial orders and mesh refinement levels, to then assess their numerical stability by propagating a flow from a random initial condition, and finally solve the flow around a two–dimensional flat plate and a NACA 0012 airfoil, comparing numerical results with those available in the literature. The proposed schemes are entropy–stable, and provide accurate solutions for the selected test cases.

Keywords

adaptation strategiesdiscontinuous galerkindiscretizationentropy-stableerrorsgausshigh-order methodsnumerical-solutionschemessolverspalart-allmarasspectral element methodtruncationDiscontinuous galerkinEntropy–stableHigh–order methodsNonlinear conservation-lawsReynolds averaged navier-stokesReynolds averaged navier–stokesSpalart–allmaras

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Journal Of Computational Physics due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2022, it was in position 3/56, thus managing to position itself as a Q1 (Primer Cuartil), in the category Physics, Mathematical. Notably, the journal is positioned above the 90th percentile.

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 2.84, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-25, the following number of citations:

  • WoS: 6
  • Scopus: 10
  • Google Scholar: 6

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 2025-07-25:

  • 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: 15.
  • 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: 13 (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: 1.85.
  • The number of mentions on the social network X (formerly Twitter): 2 (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.

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Germany.

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 (LODARES GOMEZ, DIEGO) and Last Author (VALERO SANCHEZ, EUSEBIO).

the author responsible for correspondence tasks has been LODARES GOMEZ, DIEGO.