May 27, 2019
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Viscous flow past a cylinder close to a free surface: Benchmarks with steady, periodic and metastable responses, solved by meshfree and mesh-based schemes

Publicated to: COMPUTERS & FLUIDS. 181 345-363 - 2019-03-15 181(), DOI: 10.1016/j.compfluid.2019.01.007

Authors:

Colagrossi, A; Nikolov, G; Durante, D; Marrone, S; Souto-Iglesias, A
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Affiliations

Bulgarian Acad Sci, BSHC, Varna, Bulgaria - Author
CNR, INM, Inst Marine Engn, Via Vallerano 139, I-00128 Rome, Italy - Author
Univ Politecn Madrid, ETSIN, DACSON, CEHINAV, Madrid, Spain - Author
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Abstract

The question of whether it is possible to set relevant, robust and reliable benchmarks for viscous free surface flows with complex free-surface dynamics is investigated in this work. The proposed method for finding an answer to this question consists of selecting three conditions leading to increasing flow complexity and to simulate them using three well established solvers based on diverse numerical techniques. In the three conditions, a submerged horizontal cylinder in an uniform current perpendicular to its axis is considered, the Reynolds number is fixed to 180, and the analysis is limited to a 2D framework. While the unbounded solution for such flow is well established, adding a free surface and setting the submergence ratio and the Froude number in certain ranges, challenging free-surface dynamics takes place. In the specific conditions selected, phenomena of increasing complexity are identified and studied with: (i) delta(+)-SPH, an enhanced version of the Smoothed Particle Hydrodynamics method, (ii) a single-phase Finite Volume scheme with a Level Set function for tracking the free-surface (LS-FVM), and (iii) a two-phase Finite Volume with a Volume-of-Fluid algorithm to treat the gas/liquid interface (VOF-FVM). It is shown that the test-cases, even being geometrically simple, present intricate complexities, such as alternate metastable states in the wake, linked to the strong non-linearities induced by the interactions between the wake's vorticity and the free surface. It is also shown that the solvers considered are able to depict a consistent representation of these complex flows, useful as benchmarks for other solvers and methods. An additional research question, investigating whether the improvements of the delta(+) variant of the SPH method are necessary for simulating specific aspects of the flows treated in the paper, is also posed and discussed. (C) 2019 Elsevier Ltd. All rights reserved.
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Keywords

AccuracyBodiesBreaking wavesCircular-cylinderDelta-plus-sphFinite volume methodFree-surface flowsHydrodynamicsLevel set functionMetastable statesSimulationsSmoothed particle hydrodynamicsSphViscous flow past a cylinderVolume of fluidVon kármán vortex streetVon orman vortex streetWake

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, 2019, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Computer Science (Miscellaneous).

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 1.51. This 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: ESI Nov 13, 2025)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Weighted Average of Normalized Impact by the Scopus agency: 2 (source consulted: FECYT Mar 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2026-04-24, the following number of citations:

  • WoS: 38
  • Scopus: 39
  • Google Scholar: 32
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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 2026-04-24:

  • 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: 33.
  • 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: 33 (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: 3.
  • The number of mentions on Wikipedia: 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:

  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/86585/

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: 17
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Bulgaria; Italy.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (SOUTO IGLESIAS, ANTONIO).

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Awards linked to the item

The numerical computations presented here have been performed with the support of the Super Computing Applications and Innovation (SCAT) department of the CINECA consortium. The authors acknowledge the CINECA award under the ISCRA initiative (with project name Evaluation of the free-surface instabilities due to the flow past a submerged circular cylinder), for the availability of high performance computing resources and support.
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