<?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-02343546</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="2026-05-23T02:45:26+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">High order time integration and mesh adaptation with error control for incompressible Navier-Stokes and scalar transport resolution on dual grids</title>
            <author role="aut">
              <persName>
                <forename type="first">Marc-Arthur</forename>
                <surname>N'Guessan</surname>
              </persName>
              <email type="md5">abbe11912447ce73d1cd54619e0e6f4c</email>
              <email type="domain">polytechnique.edu</email>
              <idno type="idhal" notation="numeric">1058983</idno>
              <idno type="halauthorid" notation="string">1258210-1058983</idno>
              <affiliation ref="#struct-89626"/>
            </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">Laurent</forename>
                <surname>Series</surname>
              </persName>
              <email type="md5">5f5b2762fbfbe1b491091800f27681a3</email>
              <email type="domain">ecp.fr</email>
              <idno type="idhal" notation="numeric">1022170</idno>
              <idno type="halauthorid" notation="string">1258211-1022170</idno>
              <affiliation ref="#struct-89626"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Christian</forename>
                <surname>Tenaud</surname>
              </persName>
              <email type="md5">f75e323ab4224ac45a703d1900a1de08</email>
              <email type="domain">centralesupelec.fr</email>
              <idno type="idhal" notation="string">christian-tenaud</idno>
              <idno type="idhal" notation="numeric">883</idno>
              <idno type="halauthorid" notation="string">10168-883</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-2024-485X</idno>
              <idno type="IDREF">https://www.idref.fr/034197192</idno>
              <idno type="VIAF">https://viaf.org/viaf/226073750</idno>
              <idno type="ISNI">http://isni.org/isni/0000000363805335</idno>
              <affiliation ref="#struct-247329"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Marc</forename>
                <surname>Massot</surname>
              </persName>
              <email type="md5">4eadba91690d2e4d22149a2b6e6072c9</email>
              <email type="domain">polytechnique.edu</email>
            </editor>
            <funder ref="#projanr-37962"/>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2019-11-02 18:41:50</date>
              <date type="whenModified">2025-09-02 14:40:56</date>
              <date type="whenReleased">2019-11-06 14:58:47</date>
              <date type="whenProduced">2021-05-15</date>
              <date type="whenEndEmbargoed">2019-11-02</date>
              <ref type="file" target="https://hal.science/hal-02343546v1/document">
                <date notBefore="2019-11-02"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-02343546v1/file/JCAM_InPress_NGuessan_et_al2019.pdf" id="file-2343546-2257086">
                <date notBefore="2019-11-02"/>
              </ref>
              <ref type="externalLink" target="https://hal.archives-ouvertes.fr/hal-02343546/file/JCAM_InPress_NGuessan_et_al2019.pdf"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="111407">
                <persName>
                  <forename>Marc</forename>
                  <surname>Massot</surname>
                </persName>
                <email type="md5">4eadba91690d2e4d22149a2b6e6072c9</email>
                <email type="domain">polytechnique.edu</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-02343546</idno>
            <idno type="halUri">https://hal.science/hal-02343546</idno>
            <idno type="halBibtex">nguessan:hal-02343546</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal of Computational and Applied Mathematics&lt;/i&gt;, 2021, 387, pp.112542. &lt;a target="_blank" href="https://dx.doi.org/10.1016/j.cam.2019.112542"&gt;&amp;#x27E8;10.1016/j.cam.2019.112542&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Journal of Computational and Applied Mathematics, 2021, 387, pp.112542. &amp;#x27E8;10.1016/j.cam.2019.112542&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-2343546-2257086"/></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="UNIV-PSUD">Université Paris Sud - Paris XI</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="LIMSI">Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur</idno>
            <idno type="stamp" n="CMAP">Centre de Mathématiques Appliquées (CMAP)</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="UNIV-PSUD-SACLAY" corresp="UNIV-PARIS-SACLAY">Université Paris Sud pour Paris Saclay</idno>
            <idno type="stamp" n="SORBONNE-UNIVERSITE">Sorbonne Université</idno>
            <idno type="stamp" n="SORBONNE-UNIV" corresp="SORBONNE-UNIVERSITE">Sorbonne Université 01/01/2018</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="SU-TI">Sorbonne Université - Texte Intégral</idno>
            <idno type="stamp" n="ANR">ANR</idno>
            <idno type="stamp" n="GS-SPORT-HUMAN-MOVEMENT">Graduate School Sport, Mouvement, Facteurs Humains</idno>
            <idno type="stamp" n="HPCMATHS">Initiative HPC@Maths - Ecole polytechnique</idno>
            <idno type="stamp" n="ALLIANCE-SU"> Alliance Sorbonne Université</idno>
            <idno type="stamp" n="DEPARTEMENT-DE-MATHEMATIQUES">Collection du Département de Mathématiques</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">High order time integration and mesh adaptation with error control for incompressible Navier-Stokes and scalar transport resolution on dual grids</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Marc-Arthur</forename>
                    <surname>N'Guessan</surname>
                  </persName>
                  <email type="md5">abbe11912447ce73d1cd54619e0e6f4c</email>
                  <email type="domain">polytechnique.edu</email>
                  <idno type="idhal" notation="numeric">1058983</idno>
                  <idno type="halauthorid" notation="string">1258210-1058983</idno>
                  <affiliation ref="#struct-89626"/>
                </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">Laurent</forename>
                    <surname>Series</surname>
                  </persName>
                  <email type="md5">5f5b2762fbfbe1b491091800f27681a3</email>
                  <email type="domain">ecp.fr</email>
                  <idno type="idhal" notation="numeric">1022170</idno>
                  <idno type="halauthorid" notation="string">1258211-1022170</idno>
                  <affiliation ref="#struct-89626"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Christian</forename>
                    <surname>Tenaud</surname>
                  </persName>
                  <email type="md5">f75e323ab4224ac45a703d1900a1de08</email>
                  <email type="domain">centralesupelec.fr</email>
                  <idno type="idhal" notation="string">christian-tenaud</idno>
                  <idno type="idhal" notation="numeric">883</idno>
                  <idno type="halauthorid" notation="string">10168-883</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-2024-485X</idno>
                  <idno type="IDREF">https://www.idref.fr/034197192</idno>
                  <idno type="VIAF">https://viaf.org/viaf/226073750</idno>
                  <idno type="ISNI">http://isni.org/isni/0000000363805335</idno>
                  <affiliation ref="#struct-247329"/>
                </author>
              </analytic>
              <monogr>
                <idno type="localRef">Journal of Computational and Applied Mathematics</idno>
                <idno type="halJournalId" status="VALID">15271</idno>
                <idno type="issn">0377-0427</idno>
                <title level="j">Journal of Computational and Applied Mathematics</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="volume">387</biblScope>
                  <biblScope unit="pp">112542</biblScope>
                  <date type="datePub">2021-05-15</date>
                  <date type="dateEpub">2021-05-15</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1016/j.cam.2019.112542</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">dual</term>
                <term xml:lang="en">dynamic mesh adaptation</term>
                <term xml:lang="en">scalar transport</term>
                <term xml:lang="en">multiresolution analysis</term>
                <term xml:lang="en">high order implicit Runge Kutta</term>
                <term xml:lang="en">Incompressible Navier-Stokes</term>
              </keywords>
              <classCode scheme="halDomain" n="math.math-na">Mathematics [math]/Numerical Analysis [math.NA]</classCode>
              <classCode scheme="halDomain" n="math.math-ap">Mathematics [math]/Analysis of PDEs [math.AP]</classCode>
              <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="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>Relying on a building block developed by the authors in order to resolve the incompressible Navier-Stokes equation with high order implicit time stepping and dynamic mesh adaptation based on multiresolution analysis with collocated variables, the present contribution investigates the ability to extend such a strategy for scalar transport at relatively large Schmidt numbers using a finer level of refinement compared to the resolution of the hydrody-namic variables, while preserving space adaptation with error control. This building block is a key part of a strategy to construct a low-Mach number code based on a splitting strategy for combustion applications, where several spatial scales are into play. The computational efficiency and accuracy of the proposed strategy is assessed on a well-chosen three-vortex simulation.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <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="laboratory" xml:id="struct-247329" status="OLD">
          <orgName>Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur</orgName>
          <orgName type="acronym">LIMSI</orgName>
          <date type="start">1962-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Université Paris-Sud Bât. 507 - Rue du Belvédère -91405 ORSAY CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.limsi.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-92966" type="direct"/>
            <relation active="#struct-408837" type="direct"/>
            <relation active="#struct-413221" type="indirect"/>
            <relation active="#struct-419361" type="direct"/>
            <relation name="UPR3251" active="#struct-441569" type="direct"/>
            <relation active="#struct-562112" type="direct"/>
          </listRelation>
        </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>
        <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-92966" status="OLD">
          <idno type="ROR">https://ror.org/028rypz17</idno>
          <orgName>Université Paris-Sud - Paris 11</orgName>
          <orgName type="acronym">UP11</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Bâtiment 300 - 91405 Orsay cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.u-psud.fr/</ref>
          </desc>
        </org>
        <org type="regrouplaboratory" xml:id="struct-408837" status="VALID">
          <orgName>Sorbonne Université - UFR d'Ingénierie</orgName>
          <orgName type="acronym">UFR 919</orgName>
          <desc>
            <address>
              <addrLine>SORBONNE UNIVERSITEFACULTE DES SCIENCES ET INGENIERIEUFR D'INGENIERIETour 55/65 - 2e étage4 place Jussieu75252 Paris cedex 05</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://ingenierie.sorbonne-universite.fr/fr/index.html</ref>
          </desc>
          <listRelation>
            <relation active="#struct-413221" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-413221" status="VALID">
          <idno type="IdRef">221333754</idno>
          <idno type="ROR">https://ror.org/02en5vm52</idno>
          <orgName>Sorbonne Université</orgName>
          <orgName type="acronym">SU</orgName>
          <date type="start">2018-01-01</date>
          <desc>
            <address>
              <addrLine>21 rue de l’École de médecine - 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.sorbonne-universite.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="institution" xml:id="struct-562112" status="OLD">
          <orgName>Université Paris Saclay (COmUE)</orgName>
          <desc>
            <address>
              <addrLine>Espace Technologique, Bât. Discovery - RD 128 - 2è ététage, 91190 Saint-Aubin</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.universite-paris-saclay.fr/fr</ref>
          </desc>
        </org>
      </listOrg>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-37962" status="VALID">
          <idno type="anr">ANR-11-LABX-0056</idno>
          <idno type="program">Centres d'excellences</idno>
          <orgName>LMH</orgName>
          <desc>LabEx Mathématique Hadamard</desc>
          <date type="start">2011</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>