|Preprint-No.:||< 391 >||Published in:||April 2014||PDF-File:||IGPM391.pdf|
|Title:||High-Order Accurate, Fully Discrete Entropy Stable Schemes for Scalar Conservation Laws|
|Authors:||Hamed Zakerzadeh, Ulrik S. Fjordholm|
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|
|Publication:||IMA Journal of Numerical Analysis (2016) |
36 (2), 633-654