Note on the effect of grad-div stabilization on calculating drag and lift coefficients

Yasasya Batugedara, Kyle J. Schwiebert

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In recent years, grad-div stabilization has become a popular technique for improving the mass conservation of a solution to the incompressible Navier-Stokes equations (NSE). Grad-div stabilization can be easily implemented in any code that already uses the very common Taylor-Hood finite elements. In this paper we do a close review of the grad-div stabilized and modular grad-div stabilized NSE applied to a well-known benchmark problem: 2D flow around a cylindrical obstacle. We show that using current methods grad-div stabilization can change the calculated drag and lift coefficients. We will then suggest a remedy for the given test problem and verify our results by showing the grad-div parameters agree with the reference values and those calculated using Scott-Vogelius finite elements.

Original languageEnglish
Article number127434
JournalApplied Mathematics and Computation
Volume434
DOIs
StatePublished - Dec 1 2022
Externally publishedYes

Keywords

  • Benchmark problems
  • Drag and lift coefficients
  • Grad-div stabilization
  • Navier-Stokes equations
  • Scott-Vogelius finite elements

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