Simulation of Supercooling Solidification by Phase Field Model.
نویسندگان
چکیده
منابع مشابه
Phase-field Simulation of Dendritic Solidification
We consider the solidi cation of a pure material from its undercooled melt, taking into account e ects of surface tension, kinetic undercooling and crystalline anisotropy. The classical mathematical formulation consists of two heat equations coupled with boundary conditions prescribed at the moving solid-liquid interface. Analytic solutions are known only for a few special cases. Since the prob...
متن کاملPhase - Field Simulation of Solidification 1
W. J. Boettinger,1 J. A. Warren,1 C. Beckermann,2 and A. Karma3 1Metallurgy Division, Materials Science and Engineering Laboratory, NIST, Gaithersburg, Maryland 20899; e-mail: [email protected]; [email protected] 2Department of Mechanical and Industrial Engineering, University of Iowa, Iowa City, Iowa 52242; e-mail: [email protected] 3Department of Physics and Center for Inter...
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Phase-field models of solidification with convection often assume the existence of a single (mixture) velocity at any location inside the diffuse interface, and the phase-field, φ, is advected by this mixture velocity. In this paper, the advection of the phase-field is examined for a one-dimensional normal flow to a solidification front induced by a density difference between the solid and liqu...
متن کاملTime-stepping schemes for phase-field simulation of dendritic solidification
Two di erent time-stepping schemes are investigated for a phaseeld model of solidi cation of a pure material. A rst order accurate semiexplicit scheme which is computationally cheap per time step is compared to a more accurate fully implicit BDF-discretization. The implementation of fast Poisson and Newton-GMRES solvers are discussed in some detail. Convergence rates are experimentally validate...
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Mechanical properties of metallic materials like steel depend on the solidification process. In order to study the morphology of the microstructure in the materials, the phase-field model derived from the non-equilibrium statistical physics is applied and the interface dynamics is solved by GPU computing. Since very high performance is required, 3-dimensional simulations have not been carried o...
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ژورنال
عنوان ژورنال: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B
سال: 1998
ISSN: 0387-5016,1884-8346
DOI: 10.1299/kikaib.64.463