Entropy Stability and the No-Slip Wall Boundary Condition

Magnus Svärd, Mark H. Carpenter, Matteo Parsani

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

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 L 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
Volume56
Issue number1
DOIs
StatePublished - Jan 18 2018

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