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Numerical investigation of the discrete solution of phase-field equation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00343751" target="_blank" >RIV/68407700:21340/20:00343751 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/1565" target="_blank" >http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/1565</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical investigation of the discrete solution of phase-field equation

  • Original language description

    Abstract In this article, we deal with the numerical solution of the phase-field equation. The numerical solution is based on the lattice Boltzmann method compared with the finite difference method. First, a short introduction to the mathematical and numerical model is presented and the implementation of two different methods is briefly investigated. Then, the results of both methods are compared and the experimental order of convergence is determined. One of the significant drawbacks of the finite difference method is that a sufficiently fine computational mesh is crucial for accurate results. The advantage of the lattice Boltzmann method is that it produces accurate results on courser meshes.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • 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

    2020

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    ALGORITMY 2020, 21st Conference on Scientific Computing. Vysoké Tatry, Podbanské, Slovakia, September 10-15, 2020. Proceedings of contributed papers

  • ISBN

    978-80-227-5032-5

  • ISSN

  • e-ISSN

  • Number of pages

    10

  • Pages from-to

    111-120

  • Publisher name

    VYDAVATEĽSTVO SPEKTRUM STU

  • Place of publication

    Bratislava

  • Event location

    Vysoké Tatry, Podbanské

  • Event date

    Sep 10, 2020

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000621768800012