Sharp interface
A diffuse interface model for quasi–incompressible flows : Sharp interface limits and numerics*,, **,, ***
... “sharp interface” models, where the interface between the substances or phases is described as a ...the interface, the fields – density and velocity – are subject to classical laws of fluid ...
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PEALD Grown Crystalline AlN Films on Si (100) with Sharp Interface and Good Uniformity
... In summary, polycrystalline hexagonal AlN films with sharp interface and good uniformity have been deposited on Si (100) at 300 °C by PEALD. Increasing the thick- ness of AlN films promotes crystallization ...
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The sharp interface limit of the stochastic Allen Cahn equation
... each interface moves towards its nearest neighbour at an exponentially slow speed until they are sufficiently close to annihilate within order | log | ...the sharp interface limit perform mean ...
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Detonation interaction with sharp and diffuse interfaces
... The experimental procedure varies depending on which experiment is being carried out. In this section the methodology for producing diffuse interfaces via gravity currents is explained. Section 7.1 discusses the ...
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Diffuse interface models of soluble surfactants in two phase fluid flows
... In general, weak solutions to classical free boundary problems may develop singularities in finite time and it becomes unclear how to define classical solutions to the sharp interface problems. Brakke ...
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Phase field models on evolving surfaces
... The aim of this section is now to analyse the di↵use interface model under the sharp interface limit " ! 0. We do this by matching appropriate asymptotic expansions in the interface ...
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An analysis of two classes of phase field models for void growth and coarsening in irradiated crystalline solids
... their sharp-interface kinetics. It was found that the sharp interface limit of type B models, which include only point defect concentrations as order parameters governed by Cahn-Hilliard ...
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A Phase Field Model of Sintering with Direction Dependent Diffusion
... direction-dependent interface diffusion is presented, in which the surface and grain boundary diffusions occur along the tangent of surfaces and grain boundaries, ...the sharp interface model ...
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Numerical Studies of Aerated and Pure Liquid Jets in Supersonic and Subsonic Crossflows.
... the sharp interface capturing schemes when compared to the PPM ...the sharp interface capturing solutions surface waves grow much faster along the main body of the liquid ...the sharp ...
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A New Interface Identification Technique Based on Absolute Density Gradient for Violent Flows
... the interface by the indicator function formulated with a volume fraction of either ...a sharp interface within the mesh, the VOF is often complemented by reconstruction techniques such as piece wise ...
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A novel model of third phase inclusions on two phase boundaries
... It is necessary to develop an understanding of the meshing requirements in order to make efficient use of the model. To this end, a mesh sensitivity study was conducted for a fixed transition size of a = 0.1 μ m and mesh ...
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Centrifugally forced Rayleigh Taylor instability
... a sharp interface with no surface tension acting, we show that the effects of the curvature of the interface and the confinement of the sys- tem may be characterized by a modified Atwood ...
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How sharp is the Jensen inequality?
... functions ϕ , are established. Some examples are given to illustrate how sharp our results are, and a comparison is made with some other estimates existing in the literature. Finally, some applications involving ...
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Insights for the TV Interface from the Mobile Phone Interface
... user interface designers in each organizational body try to implement their own design to optimize user experience, sometimes the user experiences between different organizations can be ...user interface ...
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Sharp inequalities related to the constant e
... Correspondence: [email protected] 1 College of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, 454003, China Full list of author information is available at the end of t[r] ...
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Sharp Cusa and Becker Stark inequalities
... Sharp Cusa and Becker-Stark inequalities Chao-Ping Chen1* and Wing-Sum Cheung2 * Correspondence: [email protected] 1 School of Mathematics and Informatics, Henan Polytechnic, Univers[r] ...
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A Sharp Double Inequality for Sums of Powers
... In this note, using only elementary techniques, we demonstrate that the sequence Sn is strictly increasing and that 1.1a holds; in addition, we establish a sharp estimate of the rate of [r] ...
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A kind of sharp Wirtinger inequality
... Subtracting two sides of equation 3.27 from two sides of equation 3.29 and adding times two sides of equation 3.33, we obtain √.. which is the set of all positive roots of the equation c[r] ...
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Sharp inequalities for tangent function with applications
... the sharp lower bound of tant t is superior to all given results as showed by Proposition in Section , although its sharp upper bound is not comparable with those given ...
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Sharp uncertainty relations for number and angle
... We study uncertainty relations for pairs of conjugate variables like number and angle, of which one takes integer values and the other takes values on the unit circle. The translation symmetry of the problem in either ...
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