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Souto-Iglesias, AntonioAuthor

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January 20, 2020
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Shear-viscosity-independent bulk-viscosity term in smoothed particle hydrodynamics

Publicated to: Physical Review e. 101 (1): 013302- - 2020-01-03 101(1), DOI: 10.1103/PhysRevE.101.013302

Authors:

Bonet Avalos, Josep; Antuono, Matteo; Colagrossi, Andrea; Souto-Iglesias, Antonio
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Affiliations

CNR INM, Inst Marine Engn, Rome, Italy - Author
CNRS, Nantes, France - Author
Ecole Cent Nantes, LHEEA Res Dept, Nantes, France - Author
Univ Politecn Madrid, CEHINAV, DACSON, ETSIN, Madrid, Spain - Author
Univ Rovira & Virgili, Dept Engn Quim, ETSEQ, Tarragona, Spain - Author
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Abstract

An angular momentum conservative pure bulk viscosity term for smoothed particle hydrodynamics (SPH) is proposed in the present paper. This formulation permits independent modeling of shear and bulk viscosities, which is of paramount importance for fluids with large bulk viscosity in situations where sound waves or large Mach numbers are expected. With this aim a dissipative term proportional to the rate of change of the volume is considered at the particle level. The equations of motion are derived from the minimization of a Lagrangian combined with an appropriate dissipation function that depends on this rate of change of particle volume, in analogy with the corresponding entropy production contribution in fluids. Due to the Galilean invariance of the formulation, the new term is shown to exactly conserve linear momentum. Moreover, its invariance under solid-body rotations also ensures the conservation of angular momentum. Two verification cases are proposed: the one-dimensional propagation of a sound pulse and a two-dimensional case, modeling the time decay of an accelerating-decelerating pipe flow. The SPH solutions are compared to exact ones, showing that the newly proposed term behaves indeed as a viscosity associated only with the local expansion-compression of the fluid. In view of these considerations, we conclude that the method presented in this paper allows for setting up a bulk viscosity independently of the shear one and as large as any particular problem may require. At the same time, together with the prescribed momentum conservation to reproduce the Navier-Stokes equation, the new term also keeps the angular momentum conservation required to properly model free interfaces or overall rotations of the bulk fluid.
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Keywords

ConvergenceDynamicsIrreversible-processesReciprocal relations

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Physical Review e 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, 2020, it was in position 8/55, 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 2025-12-22:

  • Google Scholar: 12
  • WoS: 9
  • Scopus: 9
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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 2025-12-22:

  • 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: 14.
  • 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: 14 (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: 4.
  • The number of mentions on the social network X (formerly Twitter): 6 (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/86294/

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: 148
  • Downloads: 33
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: France; 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 research activity was partially developed within the Project Area Applied Mathematics of the Department of Engineering, ICT and Technology for Energy and Transport (DIITET) of the Italian National Research Council (CNR). J.B.A. thanks the Ministerio de Ciencia, Innovacion y Universidades (MCIU), of the Spanish Government for financial support, Grant No. CTQ2017-84998-P Segregacion molecular a multiples escalas en sistemas no tensioctivos para la obtencion de materiales avanzados. A.S.I. also acknowledges the support of MCIU under Grant No. RTI2018-096791-B-C21 Hidrodinamica de elementos de amortiguamiento del movimiento de aerogeneradores flotantes.
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