Metzger S (2019)
Publication Type: Journal article
Publication year: 2019
Book Volume: 80
Pages Range: 1361-1390
Journal Issue: 4
DOI: 10.1007/s11075-018-0530-2
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.
APA:
Metzger, S. (2019). On stable, dissipation reducing splitting schemes for two-phase flow of electrolyte solutions. Numerical Algorithms, 80(4), 1361-1390. https://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.
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