English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we consider the numerical approximation for a diffuseinterface model of the two-phase incompressible inductionlessmagnetohydrodynamics problem. This model consists of Cahn-Hilliard equations,Navier-Stokes equations and Poisson equation. We propose a linear and decoupledfinite element method to solve this highly nonlinear and multi-physics system.For the time variable, the discretization is a combination of first-order Eulersemi-implicit scheme, several first-order stabilization terms andimplicit-explicit treatments for coupling terms. For the space variables, weadopt the finite element discretization, especially, we approximate the currentdensity and electric potential by inf-sup stable face-volume mixed finiteelement pairs. With these techniques, the scheme only involves a sequence ofdecoupled linear equations to solve at each time step. We show that the schemeis provably mass-conservative, charge-conservative and unconditionally energystable. Numerical experiments are performed to illustrate the features,accuracy and efficiency of the proposed scheme.

Decoupled, linear, unconditionally energy stable and charge-conservative  finite element method for a inductionless magnetohydrodynamic phase-field  model