Three-dimensional phase-field simulations of the effect of convection on free dendritic growth

[1]  Gretar Tryggvason,et al.  Numerical simulation of dendritic solidification with convection: three-dimensional flow , 2004 .

[2]  Jonathan A. Dantzig,et al.  Dendritic growth with fluid flow in pure materials , 2003 .

[3]  Gretar Tryggvason,et al.  Numerical simulation of dendritic solidification with convection: two-dimensional geometry , 2002 .

[4]  C. Hsu,et al.  Adaptive phase field simulation of dendritic growth in a forced flow at various supercoolings. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  C. Hsu,et al.  Efficient adaptive phase field simulation of dendritic growth in a forced flow at low supercooling , 2002 .

[6]  H. S. Udaykumar,et al.  A Sharp Interface Cartesian Grid Methodfor Simulating Flows with ComplexMoving Boundaries , 2001 .

[7]  N. Goldenfeld,et al.  Phase field model for three-dimensional dendritic growth with fluid flow. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  A. Karma,et al.  Phase-field simulations of dendritic crystal growth in a forced flow. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  G. Amberg,et al.  Simulation of natural convection effects on succinonitrile crystals , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  G. Amberg,et al.  Dendritic growth of randomly oriented nuclei in a shear flow , 2000 .

[11]  A. Karma,et al.  Regular Article: Modeling Melt Convection in Phase-Field Simulations of Solidification , 1999 .

[12]  Lee,et al.  Three-dimensional dendrite-tip morphology at low undercooling , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  Gustav Amberg,et al.  Phase-field simulation of dendritic growth in a shear flow , 1998 .

[14]  R. Ananth,et al.  Dendritic growth in microgravity and forced convection , 1997 .

[15]  Bisang,et al.  Shape of the tip and the formation of sidebranches of xenon dendrites. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  W. Rappel,et al.  Numerical Simulation of Three-Dimensional Dendritic Growth. , 1996, Physical review letters.

[17]  A. Karma,et al.  Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[18]  A. Karma,et al.  Quantitative phase-field modeling of dendritic growth in two and three dimensions , 1996 .

[19]  P. Tabeling,et al.  Experimental study of dendritic growth with an external flow , 1995 .

[20]  Lacombe.,et al.  Three-dimensional dendrite-tip morphology. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[21]  M. Glicksman,et al.  Dendritic growth velocities in microgravity. , 1994, Physical review letters.

[22]  Jian-Jun Xu,et al.  Dendritic growth from a melt in an external flow: uniformly valid asymptotic solution for the steady state , 1994, Journal of Fluid Mechanics.

[23]  Stefan Turek,et al.  Tools for simulating non‐stationary incompressible flow via discretely divergence‐free finite element models , 1994 .

[24]  William N. Gill,et al.  Selection of a length scale in unconstrained dendritic growth with convection in the melt , 1993 .

[25]  Brener,et al.  Theory of pattern selection in three-dimensional nonaxisymmetric dendritic growth. , 1993, Physical review letters.

[26]  R. Ananth,et al.  FORCED CONVECTION HEAT TRANSFER DURING DENDRITIC CRYSTAL GROWTH: LOCAL SOLUTIONS OF NAVIER-STOKES EQUATIONS , 1992 .

[27]  R. Ananth,et al.  Self-consistent theory of dendritic growth with convection , 1991 .

[28]  Perrin,et al.  Influence of an external flow on dendritic crystal growth. , 1989, Physical review. A, General physics.

[29]  R. Ananth,et al.  Dendritic growth with thermal convection , 1988 .

[30]  William N. Gill,et al.  THE EFFECT OF CONVECTION ON AXISYMMETRIC PARABOLIC DENDRITES , 1988 .

[31]  Saville,et al.  Growth of needle-shaped crystals in the presence of convection. , 1988, Physical review. A, General physics.

[32]  Herbert Levine,et al.  Pattern selection in fingered growth phenomena , 1988 .

[33]  W. Gill,et al.  Foced convection heat and momentum transfer to dendritic structures (parabolic cylinders and paraboloids of revolution) , 1984 .

[34]  Martin E. Glicksman,et al.  Overview 12: Fundamentals of dendritic solidification—I. Steady-state tip growth , 1981 .

[35]  R. G. Hussey,et al.  Cylinder Drag at Low Reynolds Number. , 1977 .

[36]  D. Tritton Experiments on the flow past a circular cylinder at low Reynolds numbers , 1959, Journal of Fluid Mechanics.

[37]  A. Götte,et al.  Metall , 1897 .

[38]  Thomas Bräutigam I, J , 1887, Klassiker des deutschsprachigen Dokumentarfilms.

[39]  A. Saiani,et al.  Materials Research Society Symposium Proceedings , 2007 .

[40]  Donald M. Anderson,et al.  A phase-field model of solidification with convection , 2000 .

[41]  Tong,et al.  Velocity and shape selection of dendritic crystals in a forced flow , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[42]  Seungwon Shin,et al.  COMPUTATION OF MICROSTRUCTURE IN SOLIDIFICATION WITH FLUID CONVECTION , 2000 .

[43]  J. Beech,et al.  Solidification processing 1997 , 1997 .

[44]  M. Glicksman,et al.  EFFECTS OF BUOYANCY ON THE GROWTH OF DENDRITIC CRYSTALS , 1996 .

[45]  V. Rich Personal communication , 1989, Nature.

[46]  Bouissou,et al.  Effect of a forced flow on dendritic growth. , 1989, Physical review. A, General physics.