Displaying similar documents to “Nonlinear boundary value problem for concave capillary surfaces occurring in single crystal rod growth from the melt.”

Numerical simulation of free-surface flows with surface tension

Sváček, Petr

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This paper focuses on the mathematical modelling and the numerical approximation of the flow of two immiscible incompressible fluids. The surface tension effects are taken into account and mixed boundary conditions are used. The weak formulation is introduced, discretized in time, and the finite element method is applied. The free surface motion is treated with the aid of the level set method. The numerical results are shown.

Growth Constants of Unstable Surfaces in Cylindrical Systems

L. E. Johns, R. Narayanan (2008)

Mathematical Modelling of Natural Phenomena

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We present formulas for the growth rate of surface displacements in phase change problems and flow problems in cylindrical geometries under equilibrium conditions. Our goal is to learn when domain dynamics is important vis-a-vis surface dynamics.

Wetting on rough surfaces and contact angle hysteresis: numerical experiments based on a phase field model

Alessandro Turco, François Alouges, Antonio DeSimone (2009)

ESAIM: Mathematical Modelling and Numerical Analysis

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We present a phase field approach to wetting problems, related to the minimization of capillary energy. We discuss in detail both the -convergence results on which our numerical algorithm are based, and numerical implementation. Two possible choices of boundary conditions, needed to recover Young's law for the contact angle, are presented. We also consider an extension of the classical theory of capillarity, in which the introduction of a dissipation mechanism can explain and predict...