Dataset Open Access

Quantum-Inspired Tensor-Network Fractional-Step Method for Incompressible Flow in Curvilinear Coordinates

Nis-luca van Hülst; Pia Siegl; Paul Over; Sergio Bengoechea; Tomohiro Hashizume; Mario Guillaume Cecile; Thomas Rung; Dieter Jaksch

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  <identifier identifierType="DOI">10.25592/uhhfdm.17687</identifier>
  <creators>
    <creator>
      <creatorName>Nis-luca van Hülst</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0009-0004-9893-3614</nameIdentifier>
      <affiliation>Universität Hamburg</affiliation>
    </creator>
    <creator>
      <creatorName>Pia Siegl</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0003-2249-8121</nameIdentifier>
      <affiliation>German Aerospace Center</affiliation>
    </creator>
    <creator>
      <creatorName>Paul Over</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0001-7436-5254</nameIdentifier>
      <affiliation>Hamburg University of Technology</affiliation>
    </creator>
    <creator>
      <creatorName>Sergio Bengoechea</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0009-0001-8205-5878</nameIdentifier>
      <affiliation>Hamburg University of Technology</affiliation>
    </creator>
    <creator>
      <creatorName>Tomohiro Hashizume</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0002-7154-5417</nameIdentifier>
      <affiliation>University of Queensland, University of Strathclyde, Universität Hamburg</affiliation>
    </creator>
    <creator>
      <creatorName>Mario Guillaume Cecile</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0002-2076-6236</nameIdentifier>
      <affiliation>CY Cergy Paris University, University of Mauritius</affiliation>
    </creator>
    <creator>
      <creatorName>Thomas Rung</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0002-3454-1804</nameIdentifier>
      <affiliation>Hamburg University of Technology</affiliation>
    </creator>
    <creator>
      <creatorName>Dieter Jaksch</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0002-9704-3941</nameIdentifier>
      <affiliation>University of Hamburg, University of Oxford</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Quantum-Inspired Tensor-Network Fractional-Step Method for Incompressible Flow in Curvilinear Coordinates</title>
  </titles>
  <publisher>Universität Hamburg</publisher>
  <publicationYear>2025</publicationYear>
  <subjects>
    <subject>QCFD</subject>
    <subject>Tensor Networks</subject>
    <subject>Tensor Trains</subject>
    <subject>CFD</subject>
    <subject>Curvilinear Coordinates</subject>
    <subject>Body-Fitted Grids</subject>
    <subject>Fluid Dynamics</subject>
    <subject>MPS</subject>
    <subject>DMRG</subject>
  </subjects>
  <dates>
    <date dateType="Issued">2025-07-07</date>
  </dates>
  <resourceType resourceTypeGeneral="Dataset"/>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://www.fdr.uni-hamburg.de/record/17687</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsPartOf">10.25592/uhhfdm.17686</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="https://creativecommons.org/licenses/by/4.0/legalcode">Creative Commons Attribution 4.0 International</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;Publication data accompanying the paper &amp;ldquo;Quantum-Inspired Tensor-Network Fractional-Step Method for Incompressible Flow in Curvilinear Coordinates&amp;rdquo;, published in Computer Physics Communications (DOI: 10.1016/j.cpc.2026.110169).&amp;nbsp;The publication and this dataset are associated with the European Union&amp;rsquo;s Horizon Europe research and innovation programme (HORIZON-CL4-2021-DIGITAL-EMERGING-02-10) under grant agreement No. 101080085, QCFD (https://doi.org/10.3030/101080085). The dataset contains the simulation data used in the publication, including reference finite-difference results and matrix-product-state (MPS) results for curvilinear incompressible flow benchmarks, covering non-rotating and rotating cylinder cases in steady and transient regimes, as well as additional validation data.&lt;/p&gt;</description>
  </descriptions>
</resource>
Publication date:
July 7, 2025
DOI:
10.25592/uhhfdm.17687

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Keyword(s):
QCFD Tensor Networks Tensor Trains CFD Curvilinear Coordinates Body-Fitted Grids Fluid Dynamics MPS DMRG
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