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 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 language | English (US) |
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Pages (from-to) | 256-273 |
Number of pages | 18 |
Journal | SIAM Journal on Numerical Analysis |
Volume | 56 |
Issue number | 1 |
DOIs | |
State | Published - 2018 |
Bibliographical note
Publisher Copyright:© 2018 Society for Industrial and Applied Mathematics.
Keywords
- Finite difference
- Navier–Stokes
- Nonlinear stability
- Wall boundary conditions
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics
- Numerical Analysis