Entropy stability and the no-slip wall boundary condition

Magnus Svärd, Mark H. Carpenter, Matteo Parsani

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


We present an entropy stable numerical scheme subject to no-slip wall boundary conditions. To enforce entropy stability only the no-penetration boundary condition and a temperature condition are needed at a wall, and this leads to an L2 bound on the conservative variables. In this article, we take the next step and design a finite difference scheme that also bounds the velocity gradients. This necessitates the use of the full no-slip conditions.

Original languageEnglish (US)
Pages (from-to)256-273
Number of pages18
JournalSIAM Journal on Numerical Analysis
Issue number1
StatePublished - 2018


  • Finite difference
  • Navier–Stokes
  • Nonlinear stability
  • Wall boundary conditions

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics
  • Numerical Analysis


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