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- W2045877269 abstract "In this paper, we present a generic energy-stable numerical scheme for a Smectic-A liquid crystal model. This model involves the hydrodynamic velocity–pressure variables (u,p) and the order parameter of Smectic-A liquid crystals, where its molecules have a uniaxial orientational order and a positional order by layers of normal given by the unitary vector n. Our starting point is the model presented by E in [6] using the so-called layer variable ϕ such that n=∇ϕ, where is a strongly non-linear parabolic system is considered coupling velocity and pressure of the Navier–Stokes equations (u,p) with a fourth order parabolic equation for ϕ. We give a reformulation as a mixed second order problem which let us to define energy-stable numerical schemes, by using second order finite differences in time and C0-finite elements in space. Finally, numerical simulations are presented for 2D-domains, showing the evolution of the system until it reaches an equilibrium configuration. Up to our knowledge, there is not any previous numerical analysis for this model." @default.
- W2045877269 created "2016-06-24" @default.
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- W2045877269 date "2015-06-01" @default.
- W2045877269 modified "2023-09-30" @default.
- W2045877269 title "Approximation of Smectic-A liquid crystals" @default.
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- W2045877269 doi "https://doi.org/10.1016/j.cma.2015.03.015" @default.
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