An Introduction to Fluid Dynamics, Dynamics of Fluids in Porous Media, 1972. ,
DOI : 10.1017/CBO9780511800955
Boundary conditions at a naturally permeable wall, Journal of Fluid Mechanics, vol.none, issue.01, pp.197-207, 1967. ,
DOI : 10.1017/S0022112067001375
Modeling Melt Convection in Phase-Field Simulations of Solidification, Journal of Computational Physics, vol.154, issue.2, pp.468-496, 1999. ,
DOI : 10.1006/jcph.1999.6323
Natural convection solid/liquid phase change in porous media, International Journal of Heat and Mass Transfer, vol.31, issue.1, pp.35-46, 1988. ,
DOI : 10.1016/0017-9310(88)90220-7
A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems???I. Model formulation, International Journal of Heat and Mass Transfer, vol.30, issue.10, pp.2161-2171, 1987. ,
DOI : 10.1016/0017-9310(87)90094-9
A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles, Flow, Turbulence and Combustion, vol.15, issue.1, pp.27-34 ,
DOI : 10.1002/andp.19063240204
Steady-state chimneys in a mushy layer, Journal of Fluid Mechanics, vol.455, pp.387-411, 2002. ,
DOI : 10.1017/S0022112001007558
interfacial conditions with ? = 1 (dashed line) for the solidification of a binary alloy in a corner flow (V pull = 1, V = 10, C? ? Ce) = ?7, 1967. ,
Derivation of Matching Conditions at the Contact Surface Between Fluid-Saturated Porous Solid and Bulk Fluid, Transport in Porous Media, pp.319-336, 1999. ,
DOI : 10.1007/978-94-011-4579-4_20
Simulation of freckles during vertical solidification of binary alloys, Metallurgical Transactions B, vol.10, issue.6, pp.847-859, 1991. ,
DOI : 10.1007/BF02651162
A derivation of the equations for multi-phase transport, Chemical Engineering Science, vol.30, issue.2, pp.229-233 ,
DOI : 10.1016/0009-2509(75)80010-8
Simulation of convection and macrosegregation in a large steel ingot, Metallurgical and Materials Transactions A, vol.15, issue.5, pp.1357-1366, 1999. ,
DOI : 10.1007/s11661-999-0284-5
A THERMODYNAMICALLY CONSISTENT MODEL OF A MUSHY ZONE, The Quarterly Journal of Mechanics and Applied Mathematics, vol.36, issue.4, pp.505-539 ,
DOI : 10.1093/qjmam/36.4.505
Modelling of macrosegregation during solidification processes using an adaptive domain decomposition method, Modelling and Simulation in Materials Science and Engineering, vol.11, issue.4, pp.575-597, 2003. ,
DOI : 10.1088/0965-0393/11/4/310
Numerical simulations of turbulence in shear flows Advances in turbulence IV, In Applied Scientific Research, pp.345-351, 1993. ,
On boundary conditions for fluid flow in porous media, International Journal of Engineering Science, vol.13, issue.11, pp.923-940, 1975. ,
DOI : 10.1016/0020-7225(75)90054-3
A dynamic subgrid???scale model for compressible turbulence and scalar transport, Physics of Fluids A: Fluid Dynamics, vol.3, issue.11, pp.2746-2757, 1991. ,
DOI : 10.1063/1.858164
Prediction of transport processes within porous media: Creeping flow relative to a fixed swarm of spherical particles, AIChE Journal, vol.20, issue.3, pp.530-538, 1974. ,
DOI : 10.1002/aic.690200314
Momentum transfer at the boundary between a porous medium and a homogeneous fluid???I. Theoretical development, International Journal of Heat and Mass Transfer, vol.38, issue.14, pp.2635-2646, 1995. ,
DOI : 10.1016/0017-9310(94)00346-W
Momentum transfer at the boundary between a porous medium and a homogeneous fluid???II. Comparison with experiment, International Journal of Heat and Mass Transfer, vol.38, issue.14, pp.2647-2655, 1995. ,
DOI : 10.1016/0017-9310(94)00347-X
On the Boundary Condition at the Surface of a Porous Medium, Studies in Applied Mathematics, vol.30, issue.2, pp.93-101, 1971. ,
DOI : 10.1002/sapm197150293
Weak convection, liquid inclusions and the formation of chimneys in mushy layers, Journal of Fluid Mechanics, vol.388, pp.197-215, 1999. ,
DOI : 10.1017/S0022112099004589
The method of volume averaging, 1999. ,
DOI : 10.1007/978-94-017-3389-2
CONVECTION IN MUSHY LAYERS, Annual Review of Fluid Mechanics, vol.29, issue.1, pp.91-122, 1997. ,
DOI : 10.1146/annurev.fluid.29.1.91
Solidification of fluids, Perspectives in Fluid Dynamics, pp.393-446, 2000. ,
Stability analysis of double-diffusive convection in superposed fluid and porous layers using a one-equation model, International Journal of Heat and Mass Transfer, vol.44, issue.24, pp.4625-4633, 2001. ,
DOI : 10.1016/S0017-9310(01)00102-8