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Impact on the Sustainable Development Goals (SDGs)

Analysis of institutional authors

Rueda-Ramirez, Andres MCorresponding AuthorNtoukas, GerasimosAuthorRubio, GonzaloCorresponding AuthorValero, EusebioAuthorFerrer, EstebanAuthor

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May 5, 2024
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Truncation Error-Based Anisotropic p-Adaptation for Unsteady Flows for High-Order Discontinuous Galerkin Methods

Publicated to: INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS. 37 (6): 430-450 - 2023-07-03 37(6), DOI: 10.1080/10618562.2024.2326557

Authors:

Rueda-Ramirez, Andres M; Ntoukas, Gerasimos; Rubio, Gonzalo; Valero, Eusebio; Ferrer, Esteban
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Affiliations

Univ Cologne, Dept Math & Comp Sci, Cologne, Germany - Author
Univ Politecn Madrid, Ctr Computat Simulat, Madrid, Spain - Author
Univ Politecn Madrid, Sch Aeronaut, ETSIAE UPM, Madrid, Spain - Author
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Abstract

Weextendthe tau-estimationmethodtounsteadyproblemsanduseittoadaptthepolynomialdegreefor high-order discontinuous Galerk in simulations of unsteady flows. The adaptation is local and anisotropic and allows capturing relevant unsteady flow features while enhancing the accuracy. We first revisit the definition of the truncation error, studying the effect of the treatment of the mass matrix. Secondly, we extend the tau-estimation strategy to unsteady problems. Finally, we present and compare two adaptation strategies for unsteady problems: the dynamic and static methods. We test the efficiency of the p-adaptation strategies with unsteady two-dimensional simulations using the Euler and Navier-Stokes equations. Since the method relies on the exponential convergence of the scheme, we focus in laminar test cases. The adaptation methods enable reductions in the number of degrees of freedom with respect to uniform refinement, leading to speed-ups of up tox4.5 and x4.5 for Euler and Navier-Stokes.
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Keywords

Adaptation strategiesAnisotropic p-adaptationAnisotropyDegrees of freedom (mechanics)Discontinous galerkin methodsDiscontinuous galerkinExtrapolationFinite-element-methodGalerkin methodsHigh-orderHigh-order discontinuous galerkinHigher-orderMesh adaptationNavier stokes equationsPeace, justice, and strong institutionsPost-processing approachSchemeSolverStrategiesTruncation errorsUnsteady flowUnsteady p-adaptationUnsteady problems

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS 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 Q2 (Segundo Cuartil), in the category Computational Mechanics. Notably, the journal is positioned en el Cuartil Q4 for the agency WoS (JCR) in the category Mechanics.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2026-04-08:

  • WoS: 3
  • Scopus: 3
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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 2026-04-08:

  • 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: 3 (PlumX).

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:

  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/86477/

As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

  • Views: 117
  • Downloads: 82
Continuing with the social impact of the work, it is important to emphasize that, due to its content, it can be assigned to the area of interest of ODS 16 - Promote peaceful and inclusive societies for sustainable development, provide access to justice for all and build effective, accountable and inclusive institutions at all levels, with a probability of 71% according to the mBERT algorithm developed by Aurora University.
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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 (RUEDA RAMIREZ, ANDRES MAURICIO) and Last Author (FERRER VACCAREZZA, ESTEBAN).

the authors responsible for correspondence tasks have been RUEDA RAMIREZ, ANDRES MAURICIO and RUBIO CALZADO, GONZALO.

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Project objectives

Los objetivos perseguidos en esta aportación se centran en mejorar la adaptación polinómica para métodos de Galerkin discontinuos de alto orden en flujos no estacionarios. Se busca, en primer lugar, analizar la definición del error de truncamiento y el efecto del tratamiento de la matriz de masa. En segundo lugar, extender la estrategia de estimación tau a problemas no estacionarios. Además, presentar y comparar dos estrategias de adaptación, dinámica y estática, para dichos problemas. Finalmente, evaluar la eficiencia de estas estrategias mediante simulaciones bidimensionales no estacionarias con las ecuaciones de Euler y Navier-Stokes, enfocándose en casos laminares para aprovechar la convergencia exponencial del método.
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Most relevant results

El estudio presenta avances en la adaptación anisotrópica del grado polinómico para métodos discontinuos de Galerkin en flujos no estacionarios. Los resultados más relevantes son: (1) se revisa la definición del error de truncamiento y su relación con el tratamiento de la matriz de masa; (2) se extiende la estrategia de estimación tau a problemas no estacionarios; (3) se comparan dos métodos de adaptación, dinámico y estático, para dichos problemas; (4) se realizan simulaciones bidimensionales con las ecuaciones de Euler y Navier-Stokes en casos laminares; (5) las adaptaciones permiten reducir los grados de libertad y alcanzar aceleraciones de hasta 4.5 veces respecto a refinamientos uniformes.
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Awards linked to the item

GR, EV and EF acknowledge the funding received by the Ministerio de Ciencia e Innovacion Grant DeepCFD (Project No. PID2022-137899OB-I00) funded by MCIN/AEI/10.13039/501100011033/ and by ERDF A way of making Europe. AR acknowledges funding through the Klaus-Tschira Stiftung via the project 'HiFiLab'. GR, EV and EF acknowledge the funding received by the Grant NextSim / AEI /10.13039/501100011033 and H2020, GA-956104. EF would like to thank the support of Agencia Estatal de Investigacion (for the grant 'Europa Excelencia 2022' Proyecto EUR2022-134041/AEI/10.13039/501100011033) y del Mecanismo de Recuperacion y Resiliencia de la Union Europea, and the Comunidad de Madrid and Universidad Politecnica de Madrid for the Young Investigators award: APOYO-JOVENES-21-53NYUB-19-RRX1A0. Finally, all authors gratefully acknowledge Universidad Politecnica de Madrid (www.upm.es) for providing computing resources on Magerit Supercomputer.
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