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Marino, Oscar AAuthorFerrer, EstebanCorresponding Author

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August 4, 2024
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Proceedings Paper

Accelerating high order discontinuous Galerkin solvers using neural networks: Wall bounded flows

Publicated to: Journal of Physics: Conference Series. 2753 (1): 012023- - 2024-01-01 2753(1), DOI: 10.1088/1742-6596/2753/1/012023

Authors:

Mariño, OA; Mayoral, D; Juanicotena, A; de Lara, FM; Ferrer, E
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Affiliations

Univ Politecn Madrid, Ctr Comp Simulat, Campus Montegancedo, Boadilla Del Monte 28660, Madrid, Spain - Author
Univ Politecn Madrid, ETSIAE UPM Sch Aeronaut, Plaza Cardenal Cisneros 3, E-28040 Madrid, Spain - Author

Abstract

High order solvers are accurate but computationally expensive as they require small time steps to advance the solution in time. In this work we include a corrective forcing to a low order solution to improve the accuracy while advancing in time with larger time steps, and achieve fast computations. The work uses a discontinuous Galerkin framework, where the polynomial order, inside each mesh element, can be varied to provide low or high accuracy. The corrective forcing is included for each high order Gauss nodal point in the mesh. This work is a continuation of [1, 2], where we extend the methodology to wall bounded flows. Namely, we adapt the methodology to a turbulent channel at Re-tau = 182. In this case, we use three neural networks to correct different regions of the flow, which are distinguished by their y+ distance to the wall. The methodology is able to correct the low resolution simulation to attain flow statistics that are comparable to high order simulations. We include comparisons for the mean, Reynolds stresses and shear stress on the wall. We achieve good predictions using the corrected low order solution, in mean velocity and its corresponded fluctuations, as well as the shear stress on the wall.
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Keywords

Channel flowDiscontinuous galerkinFast computationForcingsGalerkin methodsHigh-orderHigher-orderLow orderMesh generationNeural-networksPolynomial orderingsReynolds numberShear flowShear stressTime stepWall bounded flowsWall flow

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Journal of Physics: Conference Series, Q4 Agency Scopus (SJR), its regional focus and specialization in Physics and Astronomy (Miscellaneous), give it significant recognition in a specific niche of scientific knowledge at an international level.

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 2026-04-25:

  • WoS: 1
  • Scopus: 1
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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 2026-04-25:

  • 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: 2 (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:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/91454/

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: 42
  • Downloads: 68
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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 (MARIÑO SANCHEZ, OSCAR ANDRES) and Last Author (FERRER VACCAREZZA, ESTEBAN).

the author responsible for correspondence tasks has been FERRER VACCAREZZA, ESTEBAN.

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Awards linked to the item

OM and 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) and the Mecanismo de Recuperacion y Resiliencia de la Union Europea. EF knowledges the help of the Comunidad de Madrid and Universidad Politecnica de Madrid for the Young Investigators award: APOYO-JOVENES-21-53NYUB-19-RRX1A0. This research has received funding from the European Commission through the H2020-MSCA-ITN-209 project zEPHYR (grant agreement No 860101) and the European Union (ERC, Off-coustics, project number 101086075). Views and opinions expressed here are those of the author(s) only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them. This work was performer in part during the Fifth Madrid Summer Workshop, funded by the European Research Council under the Caust grant ERCAdG-101018287. Finally, all authors gratefully acknowledge the Universidad Politecnica de Madrid (www.upm.es) for providing computing resources on Magerit Supercomputer.
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