New Extended Formulations of Euler-Korteweg Equations Based on a Generalization of the Quantum Bohm Identity

preprint2015arXivOpen access

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.

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