Evolution of 3-D crystals from supersaturated vapor with modified Stefan condition: Galerkin method approach
نویسندگان
چکیده
منابع مشابه
Existence of self-similar evolution of crystals grown from supersaturated vapor
In [GR1] we considered a model of crystals grown from supersaturated vapor. We established existence of solutions to the evolution equations. Here we want to construct a special kind of maximal solutions, namely a self-similar motion. Our work was motivated by experiments. Namely, in their laboratory Gonda and Gomi [GoG] have grown specimens of elongated prisms of ice crystals similar to those ...
متن کاملHomogeneous nucleation of droplets from a supersaturated vapor phase
An approximate semianalytic theory is developed to describe the homogeneous nucleation of droplets from a supersaturated vapor, beginning with a partition function and including rigorously the translation and surface tension contributions. The liquid and vapor phases are treated as uniform ~step density profile! and may be described by any accurate equation of state. It is shown that the classi...
متن کاملAugmenting supersaturated designs with Bayesian D-optimality
Amethodology is developed to add runs to existing supersaturated designs. The technique uses information from the analysis of the initial experiment to choose the best possible follow-up runs. After analysis of the initial data, factors are classified into one of three groups: primary, secondary, and potential. Runs are added to maximize a Bayesian D-optimality criterion to increase the informa...
متن کاملCubature techniques for 3 - D Galerkin BEM
We present cubature methods for the approximation of surface integrals arising from Galerkin discretizations of 3-D boundary integral equations. This numerical integrator is fully implicit in the sense that the form of the kernel function, the surface parametrization, the trial and test space, and the order of the singularity of the kernel functions are not used explicitly. Different kernels ca...
متن کاملInvestigation on Instability of Rayleigh-Benard Convection Using Lattice Boltzmann Method with a Modified Boundary Condition
In this study, the effects of Prandtl number on the primary and secondary instability of the Rayleigh-Benard convection problem has been investigated using the lattice Boltzmann method. Two different cases as Pr=5.8 and 0.7 representing the fluid in liquid and gas conditions are examined. A body forces scheme of the lattice Boltzmann method was presented. Two types of boundary conditions in the...
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: Journal of Mathematical Analysis and Applications
سال: 2008
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.11.039