{rfName}
A

Indexed in

License and Use

Icono OpenAccess

Citations

4

Altmetrics

Analysis of institutional authors

Colombo, SCorresponding AuthorRubio, GAuthorKou, JAuthorValero, EAuthorFerrer, EAuthor

Share

March 13, 2025
Publications
>
Article
Hybrid Gold

A high-order immersed boundary method to approximate flow problems in domains with curved boundaries

Publicated to: JOURNAL OF COMPUTATIONAL PHYSICS. 528 113807- - 2025-05-01 528(), DOI: 10.1016/j.jcp.2025.113807

Authors:

Colombo, S; Rubio, G; Kou, J; Valero, E; Codina, R; Ferrer, E
[+]

Affiliations

Ctr Int Metodes Numer Engn CIMNE, Barcelona, Spain - Author
Northwestern Polytech Univ, Sch Aeronaut, Xian, Peoples R China - Author
Univ Politecn Cataluna, Barcelona, Spain - Author
Univ Politecn Madrid, Ctr Computat Simulat, Madrid, Spain - Author
Univ Politecn Madrid, ETSIAE UPM Sch Aeronaut, Madrid, Spain - Author
See more

Abstract

High-order h/p solvers in computational fluid dynamics offer scalability, efficiency, and superior error reduction compared to traditional low-order methods. Immersed boundary methods eliminate the need for body-fitted meshes but often degrade the order of the solution near boundaries, which can damage the overall accuracy of the high-order solver. This paper presents new approach to impose boundary conditions in high-order finite element or finite volume flow solvers that retain high-order P + 1 convergence, where P is the polynomial order. Furthermore, the methodology takes into account curved boundary conditions without loss in accuracy. It introduces a surrogate boundary that eliminates instabilities due to badly cut elements. We test the methodology using a high-order discontinuous Galerkin framework to solve purely elliptic problems and the compressible Navier-Stokes equations (2D and 3D), to show that we retain the formal order of convergence P + 1. Finally, we compare the results with a volume penalization approach and show that spurious pressure oscillations on the immersed boundary are eliminated when the proposed methodology is used.
[+]

Keywords

Cartesian grid methodCurved boundary conditionsDiscontinuous galerkinFinite-element-methodFluid-structure interactionHigh-order h/p solversHorses3Horses3dImmersed boundary methodPenalization methodSimulation

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, 2025, it was in position 2/61, thus managing to position itself as a Q1 (Primer Cuartil), in the category Physics, Mathematical.

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: 2
[+]

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, 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: 4.
  • 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: 4 (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: 2.
  • 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.
  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/88579/

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: 133
  • Downloads: 22
[+]

Leadership analysis of institutional authors

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

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 (COLOMBO, STEFANO) and Last Author (FERRER VACCAREZZA, ESTEBAN).

the author responsible for correspondence tasks has been COLOMBO, STEFANO.

[+]

Awards linked to the item

SC acknowledges the funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska Curie grant agreement No 955923-SSECOID. RC gratefully acknowledges the support received from the ICREA Academia Program, from the Catalan Government. 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 Union Europea. EF and GR acknowledge the funding received by the Grant DeepCFD (Project No. PID2022-137899OB-I00) funded by MCIN/AEI/10.13039/501100011033 and by ERDF A way of making Europe. This research has received funding from the European Union (ROSAS, project number 101138319) . This research has received funding from the European Union (ERC, Off-coustics, project number 101086075) . Views and opinions expressed are, however, those of the authors 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. Finally, all authors gratefully acknowledge the Universidad Politecnica de Madrid ( www.upm.es) for providing computing resources on Magerit Supercomputer and the computer resources at MareNostrum and the technical support port provided by Barcelona Supercomputing Center (RES-IM-2024-1-0003) .
[+]