Approximating viscosity solutions of the Euler system
Numerical Analysis
2022-02-02 v2 Numerical Analysis
Abstract
Applying the concept of S-convergence, based on averaging in the spirit of Strong Law of Large Numbers, the vanishing viscosity solutions of the Euler system are studied. We show how to efficiently compute a viscosity solution of the Euler system as the S-limit of numerical solutions obtained by the Viscosity Finite Volume method. Theoretical results are illustrated by numerical simulations of the Kelvin--Helmholtz instability problem.
Cite
@article{arxiv.2102.07876,
title = {Approximating viscosity solutions of the Euler system},
author = {Eduard Feireisl and Mária Lukáčová-Medviďová and Simon Schneider and Bangwei She},
journal= {arXiv preprint arXiv:2102.07876},
year = {2022}
}
Comments
42 pages