New Extended Formulations of Euler-Korteweg Equations Based on a Generalization of the Quantum Bohm Identity
Numerical Analysis
2015-03-31 v1
Abstract
In this note, we propose an original extended formulation of Euler-Korteweg systems based on a generalization of the quantum Bohm potential identity. This new formulation allows to propose a useful construction of a numerical scheme with entropy stability property under a hyperbolic CFL condition. We also comment the use of the identity for compressible Navier-Stokes equations with degenerate viscosities.
Keywords
Cite
@article{arxiv.1503.08678,
title = {New Extended Formulations of Euler-Korteweg Equations Based on a Generalization of the Quantum Bohm Identity},
author = {Didier Bresch and Frédéric Couderc and Pascal Noble and Jean-Paul Vila},
journal= {arXiv preprint arXiv:1503.08678},
year = {2015}
}
Comments
6 pages, 3 figures