A phasefield model with convection
numerical simulations 15 Pages
 2000
 4.19 MB
 5267 Downloads
 English
U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology , [Gaithersburg, MD]
Dendritic crystals  Mathematical models., Crystal growth  Mathematical models., Heat  Convection  Mathematical mo
Other titles  Phase field model with convection. 
Statement  D.M. Anderson, G.B. McFadden, A.A. Wheeler. 
Series  NISTIR  6442. 
Contributions  McFadden, Geoffrey B., Wheeler, A. A., National Institute of Standards and Technology (U.S.) 
The Physical Object  

Format  Microform 
Pagination  15 p. 
ID Numbers  
Open Library  OL17716845M 


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We develop a phasefield model for the solidification of a pure material that includes convection in the liquid phase. The model permits the interface to have an anisotropic surface energy, and allows a quasiincompressible thermodynamic description in which the densities Cited by: A phasefield model is a mathematical model for solving interfacial problems.
It has mainly been applied to solidification dynamics, but it has also been applied to other situations such as viscous fingering, fracture mechanics, hydrogen embrittlement, and vesicle dynamics. The method substitutes boundary conditions at the interface by a partial differential equation for the evolution of an.
Abstract In a previously developed phasefield model of solidification that includes convection in the melt, the two phases are represented as viscous liquids, where the putative solid phase has a viscosity much larger than the liquid by: 4.
A phasefield model for the solidification of a pure material that incorporates convection has recently been developed. This model is a twofluid model in which the solid phase is modeled as a sufficiently viscous by: 1.
We have previously developed a phasefield model of solidification that includes convection in the melt [Physica D () ]. This model represents the two phases as viscous liquids, where. We have previously developed a phasefield model of solidification that includes convection in the melt [Physica D () ].
This model represents the two phases as viscous liquids, where the putative solid phase has a viscosity much larger than the liquid by: PHASEFIELD MODEL WITH CONVECTION FIG. Schematic illustration of the diffuse solid–liquid interface, the averaging volume, and the phaseﬁeld variable variation normal to the interface.
equations are needed that are valid not only in the solid and liquid phases, but also in the diffuse interface region. Get this from a library. A phasefield model with convection: numerical simulations.
[D M Anderson; Geoffrey B McFadden; A A Wheeler; National Institute of Standards and Technology (U.S.)]. A number of formulations of the phase A phasefield model with convection book model are based on a free energy function depending on an order parameter (the phase field) and a diffusive field (variational formulations).
Equations of the model are then obtained by using general relations of statistical a function is constructed from physical considerations, but contains a parameter or combination of parameters. Recently we proposed a phase field model to describe Marangoni convection in a compressible fluid of van der Waals type far from criticality [Eur.
Phys. B 44, ()]. Get this from a library. A phasefield model with convection: sharpinterface asymptotics. [D M Anderson; Geoffrey B McFadden; A A Wheeler; National Institute of Standards and Technology (U.S.)]. The phase field crystal (PFC) model essentially resolves systems on atomic length and diffusive timescales and as such lies somewhere in between standard phase field modeling and atomic methods.
This chapter reviews the PFC model, which is just a conserved version of a model developed for Rayleigh‐Benard convection, known as the Swift. PhaseField Models Mathis Plapp Physique de la Mati`ere Condens´ee, Ecole Polytechnique, CNRS,´ Palaiseau, France Abstract.
Phaseﬁeld models have become popular in recent years to describe a host of freeboundary problems in various areas of research. The key point of the phaseﬁeld approach is that surfacesFile Size: KB.
() Efficient numerical scheme for a dendritic solidification phase field model with melt convection. Journal of Computational Physics() A Crank–Nicolson discontinuous finite volume element method for a coupled nonstationary Stokes–Darcy by: Abstract.
Phasefield models have become popular in recent years to describe a host of freeboundary problems in various areas of research. The key point of the phasefield approach is that surfaces and interfaces are implicitly described by continuous scalar fields that take constant values in the bulk phases and vary continuously but steeply across a diffuse by: We consider a tridimensional phasefield model for a solidification/melting nonstationary process, which incorporates the physics of binary alloys, thermal properties and fluid motion of nonsolidified material.
The model is a freeboundary value problem consisting of a highly nonlinear parabolic system including a phasefield equation, a heat equation, a concentration equation and a variant Cited by: We develop a phasefield model for the solidification of a pure material that includes convection in the liquid phase.
The model permits the interface to have an anisotropic surface energy, and allows a quasiincompressible thermodynamic description in which the densities in the solid and liquid phases may each be uniform.
Download A phasefield model with convection FB2
The solid phase is modeled as an extremely viscous liquid, and the Cited by: () Continuous finite element schemes for a phase field model in twolayer fluid Bénard–Marangoni convection computations. Computer Physics Communications() An adaptive meshfree method for phasefield models of by: Book Chapters.
Bures, A. Moure, H. Gomez, Computational treatment of interface dynamics via phasefield modeling, Numerical Simulation in Physics and Engineering: Trends and Applications, Springer, H. Gomez, J. Bueno, Interaction of multiphase fluids and solid structures, Frontiers in Computational FluidStructure Interaction and Flow Simulation.
A phasefield model with convection D. Anderson Not In Library. Principles of solidification Bruce Chalmers Not In Library. A phasefield model of solidification with convection D. Anderson Not In Library. A phasefield model with convection1 book Conference on Modeling of Casting and Welding Processes (3rd Santa Barbara.
Physica D () – A phaseﬁeld model with convection: sharpinterface asymptotics D.M.
Description A phasefield model with convection EPUB
Andersona,∗, G.B. McFaddenb, A.A. Wheelerc a Department of Mathematical Sciences, George Mason University, Fairfax, VAUSA b Mathematical and Computational Sciences Division, National Institute of Standards and Technology, Gaithersburg, MDUSA. Planas and J.L.
Boldrini, A bidimensional phasefield model with convection for change phase of an alloy, J. Math. Anal.
Details A phasefield model with convection PDF
Appl. (), – CrossRef MathSciNet zbMATH Google Scholar [11] J.F. Rodrigues, Variational methods in the Stefan problem, pp– in Phase Transitions and Hysteresis, Lecture Notes Math., Vol.
Author: Takesi Fukao. Kim S G A phasefield model with antitrapping current for multicomponent alloys with Diepers HJ, Steinbach I, Karma A and Tong X Modeling melt convection in phasefield simulations of solidification J.
Comput ) (The Metals Society Book ) (London: Metals Society) pp Google Scholar. Kurz W and Fisher D J Cited by: In this paper we derive thermodynamically consistent higher order phase field models for the dynamics of biomembranes in incompressible viscous fluids.
We start with basic conservation laws and an appropriate version of the second law of thermodynamics and obtain generalizations of models introduced by Du, Li and Liu [3] and Jamet and Misbah [11].Cited by: 6.
Phase field method R. Qin1 and H. Bhadeshia*2 In an ideal scenario, a phase field model is able to compute quantitative aspects of the evolution of microstructure without explicit intervention. The method is particularly appealing because it provides a visual impression of the development of structure, one which often matches observations.
PHASEFIELD SIMULATIONS OF NdFeB: NUCLEATION AND GROWTH KINETICS DURING PERITECTIC GROWTH Introduction PhaseField Model with Hydrodynamic Convection Investigating Heterogeneous Nucleation in Peritectic Materials via the PhaseField Method Conclusion INVESTIGATIONS OF PHASE SELECTION IN UNDERCOOLED MELTS OF NdFeB ALLOYS.
The simulation was performed using the phasefield model published in: J.C. Ramirez, C. Beckermann, A. Karma, and H.J. Diepers, "Phasefield modeling of binary alloy solidification with coupled heat and solute diffusion," Physical Review E, Vol.
69, (16 pages), The model aims to describe in a thermodynamically consistent way the phase change phenomenon coupled with the macroscopic motion of the fluid. The phase field φ ∈ [0, 1] describes the liquid fraction at any point and the overall water density is a function of the phase field and the pressure.
An extra gaseous substance (e.g. air) is allowed Cited by: 2. Development of a PhaseField Model for Simulating Dendritic Growth in a ConvectionDominated Flow Field C. Chen and Tony W. Sheu 23 October  Numerical Heat Transfer, Part B: Fundamentals, Vol.
66, No. The simplest phase field model can be written as a system of parabolic equations for temperature T (t,x) and phase or “order” parameter A (t,z) so that A near 0 is one phase, e.g., solid, while A near 1 is the other, e.g., liquid.
An order parameter for a particular. The next step towards application of phasefield models in materials science was the alloy solidification model by Wheeler, Boettinger and McFadden in They combined the Cahn–Hilliard model for spinodal decomposition and early phasefield models by Langer [ 13 ], Collins and Levine [ 26 ], Caginalp [ 27 ] and Kobayashi [ 22 ].Cited by: A phase field model for vesiclesubstrate adhesion, with J.
Zhang and S. Das, J. Computational Phys., An explicitimplicit predictorcorrector domain decomposition method for time dependent multidimensional convection diffusion equations, with L.
Zhu and G. Yuan, Numerical Mathematics: Theory, Methods and Applications.Jeong, JunHo Goldenfeld, Nigel and Dantzig, Jonathan A. Phase field model for threedimensional dendritic growth with fluid al Review E, Vol. 64, Issue. 4,Cited by:




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