An analysis of discontinuous Galerkin methods for the compressible Euler equations: entropy and $$L_2$$L2 stability
Sign Up to like & getrecommendations! Published in 2019 at "Numerische Mathematik"
DOI: 10.1007/s00211-019-01027-9
Abstract: The objective of this article is to characterize the entropy and $$L_2$$L2 stability of several representative discontinuous Galerkin (DG) methods for solving the compressible Euler equations. Towards this end, three DG methods are constructed: one… read more here.
Keywords: compressible euler; semi discrete; euler equations; entropy stability ... See more keywords
Friction-Controlled Entropy-Stability Competition in Granular Systems.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.125.268005
Abstract: Using cyclic shear to drive a two-dimensional granular system, we determine the structural characteristics for different interparticle friction coefficients. These characteristics are the result of a competition between mechanical stability and entropy, with the latter's… read more here.
Keywords: friction; competition; friction controlled; entropy stability ... See more keywords