Discretizations in isogeometric analysis of Navier-Stokes flow

Peter Nørtoft Nielsen, Allan Roulund Gersborg, Jens Gravesen, Niels Leergaard Pedersen

Research output: Contribution to journalJournal articleResearchpeer-review

391 Downloads (Pure)

Abstract

This paper deals with isogeometric analysis of 2-dimensional, steady state, incompressible Navier-Stokes flow subjected to Dirichlet boundary conditions. We present a detailed description of the numerical method used to solve the boundary value problem. Numerical inf-sup stability tests for the simplified Stokes problem confirm the existence of many stable discretizations of the velocity and pressure spaces, and in particular show that stability may be achieved by means of knot refinement of the velocity space. Error convergence studies for the full Navier-Stokes problem show optimal convergence rates for this type of discretizations. Finally, a comparison of the results of the method to data from the literature for the lid-driven square cavity for Reynolds numbers up to 10,000 serves as benchmarking of the discretizations and confirms the robustness of the method. © 2011 Elsevier B.V.
Original languageEnglish
JournalComputer Methods in Applied Mechanics and Engineering
Volume200
Issue number45-46
Pages (from-to)3242-3253
ISSN0045-7825
DOIs
Publication statusPublished - 2011

Keywords

  • Fluid mechanics
  • Navier–Stokes flow
  • Inf–sup stability
  • Isogeometric analysis
  • Lid-driven square cavity

Fingerprint

Dive into the research topics of 'Discretizations in isogeometric analysis of Navier-Stokes flow'. Together they form a unique fingerprint.

Cite this