C. Beckermann, Modelling of macrosegregation: applications and future needs, International Materials Reviews, vol.35, issue.5, pp.243-61, 2002.
DOI : 10.1007/BF00412004

D. J. Hebditch and J. D. Hunt, Observations of ingot macrosegregation on model systems, Metallurgical Transactions, vol.4, issue.7, pp.1557-64, 1974.
DOI : 10.1007/BF02646326

G. Lesoult, C. Gandin, and N. T. Niane, Segregation during solidification with spongy deformation of the mushy zone, Acta Materialia, vol.51, issue.18, pp.5263-83, 2003.
DOI : 10.1016/S1359-6454(03)00379-3

URL : https://hal.archives-ouvertes.fr/hal-00514079

X. D. Wang and Y. Fautrelle, An investigation of the influence of natural convection on tin solidification using a quasi two-dimensional experimental benchmark, International Journal of Heat and Mass Transfer, vol.52, issue.23-24, pp.5624-5657, 2009.
DOI : 10.1016/j.ijheatmasstransfer.2009.05.030

C. Gandin, J. Blaizot, S. Mosbah, M. Bellet, G. Zimmermann et al., Modeling of Heat and Solute Interactions upon Grain Structure Solidification, Materials Science Forum, vol.649, pp.189-98, 2010.
DOI : 10.4028/www.scientific.net/MSF.649.189

URL : https://hal.archives-ouvertes.fr/hal-00522120

C. Gandin and M. Rappaz, A 3D Cellular Automaton algorithm for the prediction of dendritic grain growth, Acta Materialia, vol.45, issue.5, pp.2187-95, 1997.
DOI : 10.1016/S1359-6454(96)00303-5

C. Gandin, J. L. Desbiolles, M. Rappaz, and T. , A three-dimensional cellular automation-finite element model for the prediction of solidification grain structures, Metallurgical and Materials Transactions A, vol.29, issue.12, pp.3153-65, 1999.
DOI : 10.1007/s11661-999-0226-2

H. Takatani, C. Gandin, and M. Rappaz, EBSD characterisation and modelling of columnar dendritic grains growing in the presence of fluid flow, Acta Materialia, vol.48, issue.3, pp.675-88, 2000.
DOI : 10.1016/S1359-6454(99)00413-9

P. Carter, D. C. Cox, C. Gandin, and R. C. , Process modelling of grain selection during the solidification of single crystal superalloy castings, Materials Science and Engineering: A, vol.280, issue.2, pp.233-279, 2000.
DOI : 10.1016/S0921-5093(99)00701-7

G. Guillemot, C. Gandin, H. Combeau, and R. Heringer, A new cellular automaton???finite element coupling scheme for alloy solidification, Modelling and Simulation in Materials Science and Engineering, vol.12, issue.3, pp.545-56, 2004.
DOI : 10.1088/0965-0393/12/3/013

URL : https://hal.archives-ouvertes.fr/hal-01435623

G. Guillemot, C. Gandin, and H. Combeau, Modeling of Macrosegregation and Solidification Grain Structures with a Coupled Cellular Automaton-Finite Element Model, ISIJ International, vol.46, issue.6, pp.880-95, 2006.
DOI : 10.2355/isijinternational.46.880

URL : https://hal.archives-ouvertes.fr/hal-00514059

G. Guillemot, C. Gandin, and M. Bellet, Interaction between single grain solidification and macrosegregation: Application of a cellular automaton???Finite element model, Journal of Crystal Growth, vol.303, issue.1, pp.58-68, 2007.
DOI : 10.1016/j.jcrysgro.2006.12.076

S. Mosbah, M. Bellet, and C. Gandin, Experimental and Numerical Modeling of Segregation in Metallic Alloys, Metallurgical and Materials Transactions A, vol.508, issue.3, pp.651-69, 2010.
DOI : 10.1007/s11661-009-0141-6

URL : https://hal.archives-ouvertes.fr/hal-00509607

C. Gandin, Modeling of solidification: Grain structures and segregations in metallic alloys, Comptes Rendus Physique, vol.11, issue.3-4, pp.216-241, 2010.
DOI : 10.1016/j.crhy.2010.07.010

URL : https://hal.archives-ouvertes.fr/hal-00523966

T. Carozzani, H. Digonnet, and C. Gandin, 3D CAFE modeling of grain structures: application to primary dendritic and secondary eutectic solidification, Modelling and Simulation in Materials Science and Engineering, vol.20, issue.1, p.15010, 2012.
DOI : 10.1088/0965-0393/20/1/015010

URL : https://hal.archives-ouvertes.fr/hal-00657733

J. Ni and C. Beckermann, A volume-averaged two-phase model for transport phenomena during solidification, Metallurgical Transactions B, vol.21, issue.3, pp.349-61, 1991.
DOI : 10.1007/BF02651234

S. D. Felicelli, J. C. Heinrich, and D. R. Poirier, Simulation of freckles during vertical solidification of binary alloys, Metallurgical Transactions B, vol.10, issue.6, pp.847-59, 1991.
DOI : 10.1007/BF02651162

S. D. Felicelli, J. C. Heinrich, and D. R. Poirier, Three-dimensional simulations of freckles in binary alloys, Journal of Crystal Growth, vol.191, issue.4, pp.879-88, 1998.
DOI : 10.1016/S0022-0248(98)00357-1

J. C. Ramirez and C. Beckermann, Evaluation of a rayleigh-number-based freckle criterion for Pb-Sn alloys and Ni-base superalloys, Metallurgical and Materials Transactions A, vol.5, issue.7, pp.1525-1561, 2003.
DOI : 10.1007/s11661-003-0264-0

C. Gandin, G. Guillemot, B. Appolaire, and N. T. Niane, Boundary layer correlation for dendrite tip growth with fluid flow, Materials Science and Engineering: A, vol.342, issue.1-2, pp.44-50, 2003.
DOI : 10.1016/S0921-5093(02)00261-7

URL : https://hal.archives-ouvertes.fr/hal-01435720

R. Trivedi and W. Kurz, Dendritic growth, International Materials Reviews, vol.60, issue.2, pp.49-74, 1994.
DOI : 10.1007/BF02672531

URL : https://hal.archives-ouvertes.fr/hal-01452247

M. B. Amar and E. Brener, Theory of pattern selection in three-dimensional nonaxisymmetric dendritic growth, Physical Review Letters, vol.71, issue.4, pp.589-92, 1993.
DOI : 10.1103/PhysRevLett.71.589

D. Tourret and C. Gandin, A generalized segregation model for concurrent dendritic, peritectic and eutectic solidification, Acta Materialia, vol.57, issue.7, pp.2066-79, 2009.
DOI : 10.1016/j.actamat.2009.01.002

URL : https://hal.archives-ouvertes.fr/hal-00509262

D. Tourret, C. Gandin, T. Volkmann, and D. M. Herlach, Multiple non-equilibrium phase transformations: Modeling versus electro-magnetic levitation experiment, Acta Materialia, vol.59, issue.11, pp.4665-77, 2011.
DOI : 10.1016/j.actamat.2011.04.013

URL : https://hal.archives-ouvertes.fr/hal-00595250

D. Tourret, G. Reinhart, C. Gandin, G. N. Iles, U. Dahlborg et al., Gas atomization of Al???Ni powders: Solidification modeling and neutron diffraction analysis, Acta Materialia, vol.59, issue.17, pp.6658-69, 2011.
DOI : 10.1016/j.actamat.2011.07.023

URL : https://hal.archives-ouvertes.fr/hal-00617424

H. Yin and J. N. Koster, Chemical stratification and solidification in a differentially heated melt, Journal of Alloys and Compounds, vol.352, issue.1-2, pp.197-209, 2003.
DOI : 10.1016/S0925-8388(02)01126-X

N. Shevchenko, . S. Eckert, G. Boden, and . Gerbeth, Observation of segregation freckle formation under the influence of melt convection, IOP Conference Series: Materials Science and Engineering, vol.27, p.12085, 2012.
DOI : 10.1088/1757-899X/27/1/012085

A. Bogno, H. Nguyen-thi, A. Buffet, G. Reinhart, B. Billia et al., Analysis by synchrotron X-ray radiography of convection effects on the dynamic evolution of the solid???liquid interface and on solute distribution during the initial transient of solidification, Acta Materialia, vol.59, issue.11, pp.4356-65, 2011.
DOI : 10.1016/j.actamat.2011.03.059

R. H. Mathiesen and L. Arnberg, X-ray radiography observations of columnar dendritic growth and constitutional undercooling in an Al???30wt%Cu alloy, Acta Materialia, vol.53, issue.4, pp.947-56, 2005.
DOI : 10.1016/j.actamat.2004.10.050

R. Heringer, C. Gandin, G. Lesoult, and H. Henein, Atomized droplet solidification as an equiaxed growth model, Acta Materialia, vol.54, issue.17, pp.4427-4467, 2006.
DOI : 10.1016/j.actamat.2006.05.015

URL : https://hal.archives-ouvertes.fr/hal-00512752

C. Gandin, Experimental Study of the Transition from Constrained to Unconstrained Growth during Directional Solidification., ISIJ International, vol.40, issue.10, pp.971-79, 2000.
DOI : 10.2355/isijinternational.40.971

C. Gandin, From constrained to unconstrained growth during directional solidification, Acta Materialia, vol.48, issue.10, pp.2483-2501, 2000.
DOI : 10.1016/S1359-6454(00)00070-7

M. A. Martorano, C. Beckermann, and C. Gandin, A solutal interaction mechanism for the columnar-to-equiaxed transition in alloy solidification, Metallurgical and Materials Transactions A, vol.24, issue.8, pp.1657-74, 2003.
DOI : 10.1007/s11661-003-0311-x

. Thermo-calc, Version S, Thermo-Calc Software AB, 2010.