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Martinez-Ruiz, DAuthor

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October 4, 2021
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Stability of expanding accretion shocks for an arbitrary equation of state

Publicated to: Journal Of Fluid Mechanics. 927 A35- - 2021-09-29 927(), DOI: 10.1017/jfm.2021.781

Authors:

Huete, Cesar; Velikovich, Alexander L; Martinez-Ruiz, Daniel; Calvo-Rivera, Andres
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Affiliations

Naval Res Lab, Plasma Phys Div, Washington, DC 20375 USA - Author
Univ Carlos III Madrid, Grp Mecan Fluidos, Leganes 28911, Spain - Author
Univ Politecn Madrid, ETSIAE, Pl Cardenal Cisneros 3, Madrid 28040, Spain - Author
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Abstract

We present a theoretical stability analysis for an expanding accretion shock that does not involve a rarefaction wave behind it. The dispersion equation that determines the eigenvalues of the problem and the explicit formulae for the corresponding eigenfunction profiles are presented for an arbitrary equation of state and finite-strength shocks. For spherically and cylindrically expanding steady shock waves, we demonstrate the possibility of instability in a literal sense, a power-law growth of shock-front perturbations with time, in the range of h(c) < h < 1 + 2M(2), where h is the D'yakov-Kontorovich parameter, h(c) is its critical value corresponding to the onset of the instability and M-2 is the downstream Mach number. Shock divergence is a stabilizing factor and, therefore, instability is found for high angular mode numbers. As the parameter h increases from h(c) to 1 + 2M(2), the instability power index grows from zero to infinity. This result contrasts with the classic theory applicable to planar isolated shocks, which predicts spontaneous acoustic emission associated with constant-amplitude oscillations of the perturbed shock in the range h(c) < h < 1 + 2M(2). Examples are given for three different equations of state: ideal gas, van der Waals gas and three-terms constitutive equation for simple metals.
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Keywords

AluminumCompressionDyakov-kontorovich instabilityEmissionGasGas dynamicsNoh problemPistonSelf-similar solutionsShock wavesSupersonic flowWaveX-ray

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Journal Of Fluid Mechanics 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, 2021, it was in position 3/34, thus managing to position itself as a Q1 (Primer Cuartil), in the category Physics, Fluids & Plasmas. Notably, the journal is positioned above the 90th percentile.

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 2025-12-20:

  • WoS: 7
  • Scopus: 8
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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 2025-12-20:

  • 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: 5 (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.
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: United States of America.

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Awards linked to the item

C.H. work is produced with the support of a 2019 Leonardo Grant for Researchers and Cultural Creators, BBVA Foundation and project PID2019-108592RB-C41 (MICINN/FEDER, UE). A.L.V. work was supported by the National Nuclear Security Administration of the U.S. Department of Energy. D.M-R work was supported by project PID2019-108592RA-C43 (MICINN/FEDER, UE).
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