On stable, dissipation reducing splitting schemes for two-phase flow of electrolyte solutions

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: Metzger S
Zeitschrift: Numerical Algorithms
Jahr der Veröffentlichung: 2019
Band: 80
Heftnummer: 4
Seitenbereich: 1361-1390
ISSN: 1017-1398


Abstract

In this paper, we are concerned with the numerical treatment of a recent diffuse interface model for two-phase flow of electrolyte solutions (Campillo-Funollet et al., SIAM J. Appl. Math. 72(6), 1899-1925, 2012) . This model consists of a Nernst-Planck-system describing the evolution of the ion densities and the electrostatic potential which is coupled to a Cahn-Hilliard-Navier-Stokes-system describing the evolution of phase-field, velocity field, and pressure. In the first part, we present a stable, fully discrete splitting scheme, which allows to split the governing equations into different blocks, which may be treated sequentially and thereby reduces the computational costs significantly. This scheme comprises different mechanisms to reduce the induced numerical dissipation. In the second part, we investigate the impact of these mechanisms on the scheme's sensitivity to the size of the time increment using the example of a falling droplet. Finally, we shall present simulations showing ion induced changes in the topology of charged droplets serving as a qualitative validation for our discretization and the underlying model.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Metzger, Stefan Dr.
Professur für Angewandte Mathematik (Analysis und Numerik partieller Differentialgleichungen)


Zitierweisen

APA:
Metzger, S. (2019). On stable, dissipation reducing splitting schemes for two-phase flow of electrolyte solutions. Numerical Algorithms, 80(4), 1361-1390. https://dx.doi.org/10.1007/s11075-018-0530-2

MLA:
Metzger, Stefan. "On stable, dissipation reducing splitting schemes for two-phase flow of electrolyte solutions." Numerical Algorithms 80.4 (2019): 1361-1390.

BibTeX: 

Zuletzt aktualisiert 2019-10-04 um 05:08