Modeling and numerical simulations of dendritic crystal growth

Keywords

Anisotropy, Component (thermodynamics), Simple (philosophy), Series (stratigraphy), Field (mathematics)

References

• Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations.Richard Jeffers Wray — 1989
• Pattern formation in growth of snow crystals occurring in the surface kinetic process and the diffusion process.Etsuro Yokoyama, Toshio Kuroda — 1990
• Overview 12: Fundamentals of dendritic solidification—II development of sidebranch structure☆Shenyan Huang, M. E. Glicksman — 1981
• Numerical simulation of dendritic growth.Y. Saito, Gerhard Goldbeck, H. Müller–Krumbhaar — 1988
• Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulationsStanley Osher, James A. Sethian — 1988
• Boundary-layer model of pattern formation in solidificationEshel Ben‐Jacob, Nigel Goldenfeld, J. S. Langer — 1984
• Geometrical models of interface evolution. III. Theory of dendritic growth.David A. Kessler, Joel Koplik, Herbert Levine — 1985
• A numerical study of two-dimensional crystal growth forms in the presence of anisotropic growth kineticsLucien Brush, Robert F. Sekerka — 1989
• The approach of solutions of nonlinear diffusion equations to travelling front solutionsPaul C. Fife, J. B. McLeod — 1977
• Quantitative measurements on the morphology of a NH4Br dendritic crystal growth in a capillaryHaruo Honjo, Yasuji Sawada — 1982
• An analysis of a phase field model of a free boundaryGunduz Caginalp — 1986
• Investigation of solid/liquid interface temperatures via isenthalpic solidificationM. E. Glicksman, Robert Schaefer — 1967
• Diffuse interface model of diffusion-limited crystal growth.Joseph B. Collins, Herbert Levine — 1985
• Dynamics of Layered Interfaces Arising from Phase BoundariesGunduz Caginalp, Paul C. Fife — 1988
• Instabilities and pattern formation in crystal growthJ. S. Langer — 1980
• Principles of SolidificationB. Chalmers — 1964

Cited by

• Patterns on the Fish Skins Induced by Anisotropy in DiusionAtsushi Mochizuki — 2001
• The Role of Surface Oxygen in the Growth of Large Single-Crystal Graphene on CopperGutiérrez Espíndola, José Luís — 2013
• Computational Studies on the Dynamics of Small-Particle Suspensions using Meso-Scale ModelingT. Iwashita — 2009
• Primal‐dual active set methods for Allen–Cahn variational inequalities with nonlocal constraintsLavinia Sarbu — 2010
• The effects of fluid flow on secondary arm coarsening during dendritic solidificationAndrew M. Mullis — 2003
• Computation of complex solidification morphologies using a phase-field modelW. J. Boettinger, G. B. McFadden — 1993
• Utilisation de phénomènes de croissance pour la génération de formes en synthèse d'imagesJean Combaz — 2004
• Computations of phase change.Damir Jurić — 1996
• Simulation of diffusional processes in alloys : techniques and applicationsHenrik Strandlund — 2005
• Phase-field法によるFe-C合金のγ→α変態と炭素拡散挙動の評価Akinori Yamanaka, Tomohiro Takaki, Yoshihiro TOMITA — 2007
• A mechanism for the equalisation of primary spacing during cellular and dendritic growthDaniel Walker, Andrew M. Mullis — 2001
• Phase-field simulation of dendritic growth under externally applied deformationMasashi Yamaguchi — 2011
• Multi-ternary extrapolation scheme for efficient coupling of thermodynamic data to a multi-phase-field modelB. Böttger, Janin Eiken, Markus Apel — 2015
• Food Freezing and Thawing CalculationsQ. Tuan Pham — 2014
• Modelling for Collective Motion of Granular Particles Driven by Motion of Interfaces(Cross-disciplinary physics and related areas of science and technology)Shin-ya Komura, Yoshihiro Yamazaki — 2007
• ★Sharp interface limits of an anisotropic phase field model for solid-state dewetting★Marion Dziwnik, Andreas Münch, Barbara Wagner — 2015
• Advances in Modeling of Solidification MicrostructuresMohsen Asle Zaeem — 2015
• A phase-field-lattice Boltzmann method for modeling motion and growth of a dendrite for binary alloy solidification in the presence of melt convectionRoberto Rojas, Tomohiro Takaki, Munekazu Ohno — 2015
• Grain boundary motion in polycrystalline materialsReza Darvishi Kamachali — 2013
• Generalized phase field theoriesMorton E. Gurtin — 1994

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