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

Thomas Peter Fries*

*Korrespondierende/r Autor/in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikel

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

ASJC Scopus subject areas

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

Fields of Expertise

  • Human- & Biotechnology

Fingerprint Untersuchen Sie die Forschungsthemen von „Higher-order surface FEM for incompressible Navier-Stokes flows on manifolds“. Zusammen bilden sie einen einzigartigen Fingerprint.

Dieses zitieren