Numerical Tests of a Phase Field Model with Second Order Accuracy
暂无分享,去创建一个
[1] W. Carter,et al. Vector-valued phase field model for crystallization and grain boundary formation , 1998 .
[2] Fernando Reitich,et al. Local existence and uniqueness of solutions of the Stefan Problem with surface tension and kinetic undercooling , 1992 .
[3] Gunduz Caginalp,et al. Phase field equations in the singular limit of sharp interface problems , 1992 .
[4] Department of Physics,et al. Universal dynamics of phase-field models for dendritic growth , 1999 .
[5] G. Caginalp,et al. RAPIDLY CONVERGING PHASE FIELD MODELS VIA SECOND ORDER ASYMPTOTICS , 2005 .
[6] G. W. Young,et al. Comparison of Asymptotic Solutions of a Phase-Field Model to a Sharp-Interface Model , 2001, SIAM J. Appl. Math..
[7] ON THE CLASSICAL SOLUTION OF THE MULTIDIMENSIONAL STEFAN PROBLEM FOR QUASILINEAR PARABOLIC EQUATIONS , 1981 .
[8] Gunduz Caginalp,et al. The role of microscopic anisotropy in the macroscopic behavior of a phase boundary , 1986 .
[9] Halil Mete Soner,et al. Convergence of the phase-field equations to the mullins-sekerka problem with kinetic undercooling , 1995 .
[10] Ricardo H. Nochetto,et al. Convergence Past Singularities for a Fully Discrete Approximation of Curvature-Drive Interfaces , 1997 .
[11] M. Chipot. Linear Parabolic Equations , 2000 .
[12] A. Karma,et al. Quantitative phase-field modeling of dendritic growth in two and three dimensions , 1996 .
[13] Robert Almgren,et al. Second-Order Phase Field Asymptotics for Unequal Conductivities , 1999, SIAM J. Appl. Math..
[14] G. Caginalp,et al. Efficient computation of a sharp interface by spreading via phase field methods , 1989 .
[15] L. I. Rubinshteĭn. The Stefan Problem , 1971 .
[16] G. Caginalp,et al. A rapidly converging phase field model , 2006 .
[17] M. Glicksman,et al. Dendritic Growth tip velocities and radii of curvature in microgravity , 1999 .
[18] Gunduz Caginalp,et al. Convergence of the phase field model to its sharp interface limits , 1998, European Journal of Applied Mathematics.
[19] Peter W. Bates,et al. Convergence of the Cahn-Hilliard equation to the Hele-Shaw model , 1994 .
[20] Jean-Baptiste Lully,et al. The collected works , 1996 .
[21] G. Caginalp,et al. Computation of sharp phase boundaries by spreading: the planar and spherically symmetric cases , 1991 .
[22] G. Caginalp. An analysis of a phase field model of a free boundary , 1986 .
[23] R. Kobayashi. Modeling and numerical simulations of dendritic crystal growth , 1993 .
[24] Martin E. Glicksman,et al. Dendritic growth-A test of theory , 1976 .
[25] William Mendenhall,et al. Introduction to Probability and Statistics , 1968 .
[26] A. A. Wheeler,et al. Thermodynamically-consistent phase-field models for solidification , 1992 .
[27] A. M. Meirmanov,et al. The Stefan Problem , 1992 .
[28] Harald Garcke,et al. Second order phase field asymptotics for multi-component systems , 2006 .
[29] Initial conditions implied by t exp 1/2 solidification of a sphere with capillarity and interfacial kinetics , 1988 .
[30] J. Cahn,et al. A microscopic theory for antiphase boundary motion and its application to antiphase domain coasening , 1979 .
[31] Gunduz Caginalp,et al. Computations of Dendrites in 3-D and Comparison with Microgravity Experiments , 2003 .
[32] R. Sekerka,et al. Stability of a Planar Interface During Solidification of a Dilute Binary Alloy , 1964 .