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Configurable Open-source Data Structure for Distributed Conforming Unstructured Homogeneous Meshes with GPU Support

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F22%3A00359776" target="_blank" >RIV/68407700:21340/22:00359776 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1145/3536164" target="_blank" >https://doi.org/10.1145/3536164</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1145/3536164" target="_blank" >10.1145/3536164</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Configurable Open-source Data Structure for Distributed Conforming Unstructured Homogeneous Meshes with GPU Support

  • Original language description

    A general multi-purpose data structure for an efficient representation of conforming unstructured homogeneous meshes for scientific computations on CPU and GPU-based systems is presented. The data structure is provided as open-source software as part of the TNL library (https://tnl-project.org/). The abstract representation supports almost any cell shape and common 2D quadrilateral, 3D hexahedron and arbitrarily dimensional simplex shapes are currently built into the library. The implementation is highly configurable via templates of the C++ language, which allows avoiding the storage of unnecessary dynamic data. The internal memory layout is based on state-of-the-art sparse matrix storage formats, which are optimized for different hardware architectures in order to provide high-performance computations. The proposed data structure is also suitable for meshes decomposed into several subdomains and distributed computing using the Message Passing Interface (MPI). The efficiency of the implemented data structure on CPU and GPU hardware architectures is demonstrated on several benchmark problems and a comparison with another library. Its applicability to advanced numerical methods is demonstrated with an example problem of two-phase flow in porous media using a numerical scheme based on the mixed-hybrid finite element method (MHFEM). We show GPU speed-ups that rise above 20 in 2D and 50 in 3D when compared to sequential CPU computations, and above 2 in 2D and 9 in 3D when compared to 12-threaded CPU computations.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

  • ISSN

    0098-3500

  • e-ISSN

    1557-7295

  • Volume of the periodical

    48

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    30

  • Pages from-to

  • UT code for WoS article

    000865883900006

  • EID of the result in the Scopus database

    2-s2.0-85142412558