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Transient electrohydrodynamic flow with concentration-dependent fluid properties: Modelling and energy-stable numerical schemes

Abstract

Transport of electrolytic solutions under influence of electric fields occurs in phenomena ranging from biology to geophysics. Here, we present a continuum model for single-phase electrohydrodynamic flow, which can be derived from fundamental thermodynamic principles. This results in a generalized Navier–Stokes–Poisson–Nernst–Planck system, where fluid properties such as density and permittivity depend on the ion concentration fields. We propose strategies for constructing numerical schemes for this set of equations, where the electrochemical and the hydrodynamic subproblems are decoupled at each time step. We provide time discretizations of the model that suffice to satisfy the same energy dissipation law as the continuous model. In particular, we propose both linear and non-linear discretizations of the electrochemical subproblem, along with a projection scheme for the fluid flow. The efficiency of the approach is demonstrated by numerical simulations using several of the proposed schemes.
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Category

Academic article

Language

English

Author(s)

  • Gaute Linga
  • Asger Bolet
  • Joachim Mathiesen

Affiliation

  • SINTEF Digital / Mathematics and Cybernetics
  • Niels Bohr Institute
  • University of Oslo

Year

2020

Published in

Journal of Computational Physics

ISSN

0021-9991

Volume

412

View this publication at Norwegian Research Information Repository