<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-02060365v2</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-24T22:50:39+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Modulation of homogeneous and isotropic turbulence by sub-Kolmogorov particles: Impact of particle field heterogeneity</title>
            <author role="aut">
              <persName>
                <forename type="first">Roxane</forename>
                <surname>Letournel</surname>
              </persName>
              <email type="md5">5ecfe375fc998397d86af410890b2e72</email>
              <email type="domain">centralesupelec.fr</email>
              <idno type="idhal" notation="string">roxane-letournel</idno>
              <idno type="idhal" notation="numeric">173183</idno>
              <idno type="halauthorid" notation="string">43899-173183</idno>
              <affiliation ref="#struct-1042705"/>
              <affiliation ref="#struct-89626"/>
              <affiliation ref="#struct-1043719"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Frédérique</forename>
                <surname>Laurent</surname>
              </persName>
              <email type="md5">a89cf4f8e386750947224c6b34fa48c9</email>
              <email type="domain">centralesupelec.fr</email>
              <idno type="idhal" notation="string">frederique-laurent</idno>
              <idno type="idhal" notation="numeric">12895</idno>
              <idno type="halauthorid" notation="string">30965-12895</idno>
              <idno type="IDREF">https://www.idref.fr/070406316</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-7365-1205</idno>
              <affiliation ref="#struct-1042705"/>
              <affiliation ref="#struct-1043719"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Marc</forename>
                <surname>Massot</surname>
              </persName>
              <email type="md5">0b851d38fa4763efba81bd90c4c3f4df</email>
              <email type="domain">ecp.fr</email>
              <idno type="idhal" notation="string">marc-massot</idno>
              <idno type="idhal" notation="numeric">817</idno>
              <idno type="halauthorid" notation="string">45870-817</idno>
              <idno type="IDREF">https://www.idref.fr/070406820</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-8823-7667</idno>
              <orgName ref="#struct-300340"/>
              <affiliation ref="#struct-89626"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Aymeric</forename>
                <surname>Vié</surname>
              </persName>
              <email type="md5">862eb410f11e08acaca4d055bb5dd531</email>
              <email type="domain">centralesupelec.fr</email>
              <idno type="idhal" notation="string">aymeric-vie</idno>
              <idno type="idhal" notation="numeric">4628</idno>
              <idno type="halauthorid" notation="string">13917-4628</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-3998-0862</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=TPBqntwAAAAJ&amp;hl=fr</idno>
              <idno type="IDREF">https://www.idref.fr/151324522</idno>
              <affiliation ref="#struct-1042705"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Roxane</forename>
                <surname>Letournel</surname>
              </persName>
              <email type="md5">5ecfe375fc998397d86af410890b2e72</email>
              <email type="domain">centralesupelec.fr</email>
            </editor>
            <funder ref="#projanr-43291"/>
          </titleStmt>
          <editionStmt>
            <edition n="v1">
              <date type="whenSubmitted">2019-10-14 17:42:03</date>
            </edition>
            <edition n="v2" type="current">
              <date type="whenSubmitted">2020-02-06 10:50:02</date>
              <date type="whenModified">2026-04-03 03:23:13</date>
              <date type="whenReleased">2020-02-14 08:15:21</date>
              <date type="whenProduced">2020-01-22</date>
              <date type="whenEndEmbargoed">2020-07-22</date>
              <ref type="file" target="https://centralesupelec.hal.science/hal-02060365v2/document">
                <date notBefore="2020-07-22"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://centralesupelec.hal.science/hal-02060365v2/file/Letournel20_IJMF.pdf" id="file-2468849-2356048">
                <date notBefore="2020-07-22"/>
              </ref>
              <ref type="externalLink" target="https://www.sciencedirect.com/science/article/am/pii/S0301932219307621"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="710194">
                <persName>
                  <forename>Roxane</forename>
                  <surname>Letournel</surname>
                </persName>
                <email type="md5">5ecfe375fc998397d86af410890b2e72</email>
                <email type="domain">centralesupelec.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-02060365</idno>
            <idno type="halUri">https://centralesupelec.hal.science/hal-02060365</idno>
            <idno type="halBibtex">letournel:hal-02060365</idno>
            <idno type="halRefHtml">&lt;i&gt;International Journal of Multiphase Flow&lt;/i&gt;, 2020, 125, pp.103233. &lt;a target="_blank" href="https://dx.doi.org/10.1016/j.ijmultiphaseflow.2020.103233"&gt;&amp;#x27E8;10.1016/j.ijmultiphaseflow.2020.103233&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">International Journal of Multiphase Flow, 2020, 125, pp.103233. &amp;#x27E8;10.1016/j.ijmultiphaseflow.2020.103233&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-2468849-2356048"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="X">École polytechnique</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="EM2C">Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="X-CMAP" corresp="X">Centre de Mathématiques Appliquées (CMAP)</idno>
            <idno type="stamp" n="X-DEP-MATHA">Département de mathématiques appliquées de l’École polytechnique</idno>
            <idno type="stamp" n="CMAP">Centre de Mathématiques Appliquées (CMAP)</idno>
            <idno type="stamp" n="CENTRALESUPELEC">Ecole CentraleSupélec</idno>
            <idno type="stamp" n="GENCI">Publications ayant eu recours aux supercalculateurs du GENCI</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="FED-MATH">Fédération de Mathématiques de CentraleSupélec </idno>
            <idno type="stamp" n="IP_PARIS">Institut Polytechnique de Paris</idno>
            <idno type="stamp" n="TEST-HALCNRS">Collection test HAL CNRS</idno>
            <idno type="stamp" n="UNIVERSITE-PARIS-SACLAY" corresp="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="ANR">ANR</idno>
            <idno type="stamp" n="GS-ENGINEERING">Graduate School Sciences de l'Ingénierie et des Systèmes</idno>
            <idno type="stamp" n="GS-MATHEMATIQUES">Graduate School Mathématiques</idno>
            <idno type="stamp" n="HPCMATHS">Initiative HPC@Maths - Ecole polytechnique</idno>
            <idno type="stamp" n="IP-PARIS-DEPARTEMENT-MATHEMATIQUES">Département de Mathèmatiques</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Modulation of homogeneous and isotropic turbulence by sub-Kolmogorov particles: Impact of particle field heterogeneity</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Roxane</forename>
                    <surname>Letournel</surname>
                  </persName>
                  <email type="md5">5ecfe375fc998397d86af410890b2e72</email>
                  <email type="domain">centralesupelec.fr</email>
                  <idno type="idhal" notation="string">roxane-letournel</idno>
                  <idno type="idhal" notation="numeric">173183</idno>
                  <idno type="halauthorid" notation="string">43899-173183</idno>
                  <affiliation ref="#struct-1042705"/>
                  <affiliation ref="#struct-89626"/>
                  <affiliation ref="#struct-1043719"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Frédérique</forename>
                    <surname>Laurent</surname>
                  </persName>
                  <email type="md5">a89cf4f8e386750947224c6b34fa48c9</email>
                  <email type="domain">centralesupelec.fr</email>
                  <idno type="idhal" notation="string">frederique-laurent</idno>
                  <idno type="idhal" notation="numeric">12895</idno>
                  <idno type="halauthorid" notation="string">30965-12895</idno>
                  <idno type="IDREF">https://www.idref.fr/070406316</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-7365-1205</idno>
                  <affiliation ref="#struct-1042705"/>
                  <affiliation ref="#struct-1043719"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Marc</forename>
                    <surname>Massot</surname>
                  </persName>
                  <email type="md5">0b851d38fa4763efba81bd90c4c3f4df</email>
                  <email type="domain">ecp.fr</email>
                  <idno type="idhal" notation="string">marc-massot</idno>
                  <idno type="idhal" notation="numeric">817</idno>
                  <idno type="halauthorid" notation="string">45870-817</idno>
                  <idno type="IDREF">https://www.idref.fr/070406820</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-8823-7667</idno>
                  <orgName ref="#struct-300340"/>
                  <affiliation ref="#struct-89626"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Aymeric</forename>
                    <surname>Vié</surname>
                  </persName>
                  <email type="md5">862eb410f11e08acaca4d055bb5dd531</email>
                  <email type="domain">centralesupelec.fr</email>
                  <idno type="idhal" notation="string">aymeric-vie</idno>
                  <idno type="idhal" notation="numeric">4628</idno>
                  <idno type="halauthorid" notation="string">13917-4628</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-3998-0862</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=TPBqntwAAAAJ&amp;hl=fr</idno>
                  <idno type="IDREF">https://www.idref.fr/151324522</idno>
                  <affiliation ref="#struct-1042705"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">14579</idno>
                <idno type="issn">0301-9322</idno>
                <title level="j">International Journal of Multiphase Flow</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="volume">125</biblScope>
                  <biblScope unit="pp">103233</biblScope>
                  <date type="datePub">2020-01-22</date>
                  <date type="dateEpub">2020-01-23</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1016/j.ijmultiphaseflow.2020.103233</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">heterogeneity</term>
                <term xml:lang="en">two-way coupling</term>
                <term xml:lang="en">homogeneous isotropic turbulence</term>
                <term xml:lang="en">Particle dynamics</term>
              </keywords>
              <classCode scheme="halDomain" n="phys.meca.mefl">Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]</classCode>
              <classCode scheme="halDomain" n="spi.fluid">Engineering Sciences [physics]/Reactive fluid environment</classCode>
              <classCode scheme="halDomain" n="math.math-na">Mathematics [math]/Numerical Analysis [math.NA]</classCode>
              <classCode scheme="halDomain" n="math.math-pr">Mathematics [math]/Probability [math.PR]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>The modulation of turbulence by sub-Kolmogorov particles has been thoroughly characterized in the literature, showing either enhancement or reduction of kinetic energy at small or large scale depending on the Stokes number and the mass loading. However , the impact of a third parameter, the number density of particles, has not been independently investigated. In the present work, we perform direct numerical simulations of decaying Homogeneous Isotropic Turbulence loaded with monodisperse sub-Kolmogorov particles, varying independently the Stokes number, the mass loading and the number density of particles. Like previous investigators, crossover and modulations of the fluid energy spectra are observed consistently with the change in Stokes number and mass loading. Additionally, DNS results show a clear impact of the particle number density, promoting the energy at small scales while reducing the energy at large scales. For high particle number density, the turbulence statistics and spectra become insensitive to the increase of this parameter, presenting a two-way asymptotic behavior. Our investigation identifies the energy transfer mechanisms, and highlights the differences between the influence of a highly concentrated disperse phase (high particle number density, limit behavior) and that of heterogeneous concentration fields (low particle number density). In particular, a measure of this heterogeneity is proposed and discussed which allows to identify specific regimes in the evolution of turbulence statistics and spectra.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-1042705" status="VALID">
          <idno type="IdRef">147974542</idno>
          <idno type="RNSR">196317031C</idno>
          <idno type="ROR">https://ror.org/02wy3s959</idno>
          <orgName>Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion</orgName>
          <orgName type="acronym">EM2C</orgName>
          <date type="start">2020-01-01</date>
          <desc>
            <address>
              <addrLine>CentraleSupélec - 3, rue Joliot Curie - 91192 GIF-SUR-YVETTE CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://em2c.centralesupelec.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-411575" type="direct"/>
            <relation active="#struct-419361" type="direct"/>
            <relation name="UPR288" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-89626" status="VALID">
          <idno type="IdRef">197373461</idno>
          <idno type="ISNI">000000010944436X</idno>
          <idno type="RNSR">199719340P</idno>
          <idno type="ROR">https://ror.org/012e1xn46</idno>
          <idno type="Wikidata">Q16008922</idno>
          <orgName>Centre de Mathématiques Appliquées de l'Ecole polytechnique</orgName>
          <orgName type="acronym">CMAP</orgName>
          <date type="start">2005-01-01</date>
          <desc>
            <address>
              <addrLine>Route de Saclay, 91128 Palaiseau Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://cmap.ip-paris.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
            <relation active="#struct-300340" type="direct"/>
            <relation active="#struct-563936" type="indirect"/>
            <relation name="UMR7641" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="regrouplaboratory" xml:id="struct-1043719" status="VALID">
          <idno type="IdRef">196533341</idno>
          <idno type="RNSR">201320550K</idno>
          <orgName>Fédération de Mathématiques de CentraleSupélec</orgName>
          <date type="start">2020-01-01</date>
          <desc>
            <address>
              <addrLine>Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://fd-math.pages.centralesupelec.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-411575" type="direct"/>
            <relation active="#struct-419361" type="direct"/>
            <relation name="FRA3487 / FR3487" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-411575" status="VALID">
          <idno type="IdRef">184443237</idno>
          <idno type="ROR">https://ror.org/019tcpt25</idno>
          <orgName>CentraleSupélec</orgName>
          <desc>
            <address>
              <addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.centralesupelec.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-419361" status="VALID">
          <idno type="IdRef">241345251</idno>
          <idno type="ROR">https://ror.org/03xjwb503</idno>
          <orgName>Université Paris-Saclay</orgName>
          <desc>
            <address>
              <addrLine>Bâtiment Bréguet, 3 Rue Joliot Curie 2e ét, 91190 Gif-sur-Yvette</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.universite-paris-saclay.fr/fr</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300340" status="VALID">
          <idno type="IdRef">027309320</idno>
          <idno type="ISNI">0000000121581279</idno>
          <idno type="ROR">https://ror.org/05hy3tk52</idno>
          <idno type="Wikidata">Q273626</idno>
          <orgName>École polytechnique</orgName>
          <orgName type="acronym">X</orgName>
          <date type="start">1794-03-11</date>
          <desc>
            <address>
              <addrLine>Route de Saclay, 91128 Palaiseau Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.polytechnique.edu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-563936" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-563936" status="VALID">
          <idno type="IdRef">238327159</idno>
          <idno type="ISNI">0000000502717600</idno>
          <idno type="ROR">https://ror.org/042tfbd02</idno>
          <idno type="Wikidata">Q48759778</idno>
          <orgName>Institut Polytechnique de Paris</orgName>
          <orgName type="acronym">IP Paris</orgName>
          <date type="start">2019-06-02</date>
          <desc>
            <address>
              <addrLine>Route de Saclay, 91120 Palaiseau Cedex, France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.ip-paris.fr</ref>
          </desc>
        </org>
      </listOrg>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-43291" status="VALID">
          <idno type="anr">ANR-17-CE22-0003</idno>
          <orgName>MIMETYC</orgName>
          <desc>Etude Multi-échelles et modélisation du couplage hétérogène du spray dans des écoulements réactifs turbulents</desc>
          <date type="start">2017</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>