Higher-order surface FEM for incompressible Navier-Stokes flows on manifolds

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

Abstract

Stationary and instationary Stokes and Navier-Stokes flows are considered on two-dimensional manifolds, ie, on curved surfaces in three dimensions. The higher-order surface FEM is used for the approximation of the geometry, velocities, pressure, and Lagrange multiplier to enforce tangential velocities. Individual element orders are employed for these various fields. Streamline-upwind stabilization is employed for flows at high Reynolds numbers. Applications are presented, which extend classical benchmark test cases from flat domains to general manifolds. Highly accurate solutions are obtained, and higher-order convergence rates are confirmed.

Originalspracheenglisch
Seiten (von - bis)55-78
Seitenumfang24
FachzeitschriftInternational journal for numerical methods in fluids
Jahrgang88
Ausgabenummer2
DOIs
PublikationsstatusVeröffentlicht - 20 Sep 2018

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Incompressible Navier-Stokes
Stokes Flow
Higher Order
Finite element method
Element Order
Curved Surface
Lagrange multipliers
Streamlines
Navier-Stokes
Stokes
Reynolds number
Three-dimension
Convergence Rate
Stabilization
Benchmark
Geometry
Approximation

Schlagwörter

    ASJC Scopus subject areas

    • !!Computational Mechanics
    • !!Mechanics of Materials
    • !!Mechanical Engineering
    • !!Computer Science Applications
    • Angewandte Mathematik

    Fields of Expertise

    • Human- & Biotechnology

    Dies zitieren

    Higher-order surface FEM for incompressible Navier-Stokes flows on manifolds. / Fries, Thomas Peter.

    in: International journal for numerical methods in fluids, Jahrgang 88, Nr. 2, 20.09.2018, S. 55-78.

    Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

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