KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Applied Mathematics and Computational Science Program
Extreme Computing Research Center
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AbstractWe 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.
CitationSvärd M, Carpenter MH, Parsani M (2018) Entropy Stability and the No-Slip Wall Boundary Condition. SIAM Journal on Numerical Analysis 56: 256–273. Available: http://dx.doi.org/10.1137/16M1097225.
SponsorsThis work was partially supported by King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia.