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Fluid Flow in Cavity Solved by Finite Element Method

Result description

The problem of singularities caused by boundary conditions is studied on the flow in lid driven cavity. The asymptotic behaviour near the singularity points is used together with the apriori error estimates of the finite element solution, in order to design the finite element mesh adjusted to singularity. A posteriori error estimates are used as the principal tool for error analysis. Thus we obtain very precise solution in the vicinity of the singularity. Numerical results are presented.

Keywords

FEMincompressible flowcavitysingularities

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fluid Flow in Cavity Solved by Finite Element Method

  • Original language description

    The problem of singularities caused by boundary conditions is studied on the flow in lid driven cavity. The asymptotic behaviour near the singularity points is used together with the apriori error estimates of the finite element solution, in order to design the finite element mesh adjusted to singularity. A posteriori error estimates are used as the principal tool for error analysis. Thus we obtain very precise solution in the vicinity of the singularity. Numerical results are presented.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of International Conference Presentation of Mathematics '09

  • ISBN

    978-80-7372-578-5

  • ISSN

  • e-ISSN

  • Number of pages

    9

  • Pages from-to

  • Publisher name

    Technická univerzita

  • Place of publication

    Liberec

  • Event location

    Liberec

  • Event date

    Sep 14, 2009

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article