On the choice of viscous discontinuous Galerkin discretization for entropy correction artificial viscosity methods
Numerical Analysis
2026-02-27 v1 Numerical Analysis
Abstract
Entropy correction artificial viscosity (ECAV) is an approach for enforcing a semi-discrete entropy inequality through an entropy dissipative correction term. The resulting method can be implemented as an artificial viscosity with an extremely small viscosity coefficient. In this work, we analyze ECAV when the artificial viscosity is discretized using a local discontinuous Galerkin (LDG) method. We prove an upper bound on the ECAV coefficient, indicating that ECAV does not result in a restrictive time-step condition. We additionally show that ECAV is contact preserving, and compare ECAV to traditional shock capturing artificial viscosity methods.
Keywords
Cite
@article{arxiv.2602.23210,
title = {On the choice of viscous discontinuous Galerkin discretization for entropy correction artificial viscosity methods},
author = {Samuel Q. Van Fleet and Jesse Chan},
journal= {arXiv preprint arXiv:2602.23210},
year = {2026}
}