On entropy stable temporal fluxes
Numerical Analysis
2018-11-26 v3
Abstract
Entropy-stable (ES) schemes have gained considerable attention over the last decade, especially in the context of turbulent flow simulations using high-order methods. While promising because of their nonlinear stability properties, ES schemes have to address a number of issues to become practical. One of them is how much entropy should be produced by the scheme at a certain level of under-resolution. This problem has been so far studied by considering different ES interfaces fluxes in the spatial discretization only because they can be tuned to generate a certain amount of entropy. In this note, we point out that, in the context of space-time discretizations, the same applies to ES interface fluxes in the temporal direction.
Keywords
Cite
@article{arxiv.1807.03483,
title = {On entropy stable temporal fluxes},
author = {Ayoub Gouasmi and Karthik Duraisamy and Scott Murman},
journal= {arXiv preprint arXiv:1807.03483},
year = {2018}
}