Recent developments of dendritic solidification simulations by phase-field method
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...
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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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We present adaptive finite element simulations of dendritic and eutectic solidification in binary and ternary alloys. The computations are based on a recently formulated phase-field model that is especially appropriate for modelling non-isothermal solidification in multicomponent multiphase systems. In this approach, a set of governing equations for the phase-field variables, for the concentrat...
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simulations of morphological instabilities and dendritic solidification is given first, in order to put our work into perWe present a front-tracking method to simulate time dependent two-dimensional dendritic solidification of pure substances. The spective. method is based on a finite difference approximation of the heat The process of solidification of a pure substance can equation and explici...
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ژورنال
عنوان ژورنال: Journal of Japan Institute of Light Metals
سال: 2019
ISSN: 0451-5994,1880-8018
DOI: 10.2464/jilm.69.562