Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains
نویسندگان
چکیده
منابع مشابه
Upscaled phase - field models for interfacial dynamics in strongly heterogeneous domains
We derive a new, effective macroscopic Cahn–Hilliard equation whose homogeneous free energy is represented by fourth-order polynomials, which form the frequently applied double-well potential. This upscaling is done for perforated/strongly heterogeneous domains. To the best knowledge of the authors, this seems to be the first attempt of upscaling the Cahn–Hilliard equation in such domains. The ...
متن کاملdynamics in strongly heterogeneous domains Upscaled phase - field models for interfacial
References html#ref-list-1 http://rspa.royalsocietypublishing.org/content/468/2147/3705.full. This article cites 35 articles, 1 of which can be accessed free Subject collections (86 articles) fluid mechanics (69 articles) differential equations (231 articles) applied mathematics Articles on similar topics can be found in the following collections Email alerting service here the box at ...
متن کاملInterfacial Dynamics For Thermodynamically Consistent Phase-Field Models With Nonconserved Order Parameter
We study certain approximate solutions of a system of equations formulated in an earlier paper (Physica D 43 44–62 (1990)) which in dimensionless form are ut + γw(φ)t = ∇u, α φt = ∇φ+ F (φ, u), where u is (dimensionless) temperature, φ is an order parameter, w(φ) is the temperature– independent part of the energy density, and F involves the φ–derivative of the free-energy density. The constants...
متن کاملBulk dynamics for interfacial growth models
We study the influence of the bulk dynamics of a growing cluster of particles on the properties of its interface. First, we define a general bulk growth model by means of a continuum Master equation for the evolution of the bulk density field. This general model just considers an arbitrary addition of particles (though it can be easily generalized to consider subtraction) with no other physical...
متن کاملEvaluation of interfacial excess contributions in different phase-field models for elastically inhomogeneous systems
In elastically inhomogeneous solid materials, the presence of strains causes changes in both morphology and phase equilibria, thereby changing the mechanical and chemical properties. For any given initial phaseand grainstructure, it is difficult to determine experimentally or analytically these changes in properties. Phase-field models coupled with micro elasticity theory can be used to predict...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2012
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2012.0020