391 | RWTH Publication No: 230368 2014   IGPM391.pdf |
TITLE | High-Order Accurate, Fully Discrete Entropy Stable Schemes for Scalar Conservation Laws |
AUTHORS | Hamed Zakerzadeh, Ulrik S. Fjordholm |
ABSTRACT | The recently developed TECNO schemes for hyperbolic conservation laws are designed to be high-order accurate and entropy stable, but are, as of yet, only semi-discrete. We perform an explicit discretization of the temporal derivative to obtain a fully discrete scheme, and derive a non-strict CFL condition that ensures global entropy stability. The scheme is tested in a series of numerical experiments. |
KEYWORDS | conservation laws, entropy stable schemes, fully discrete schemes |
DOI | 10.1093/imanum/drv020 |
PUBLICATION | IMA Journal of Numerical Analysis (2016) 36 (2), 633-654 |