REFERENCES
- D. Hurle , E. Jakeman , and A. Wheeler , Hydrodynamie Stability of the Melt During Solidification of a Binary Alloy , Phys. Fluids , vol. 26 , no. 3 , pp. 624 – 626 , 1983 .
- W. E. Langlois , Buoyancy-Driven Flows in Crystal-Growth Melts , Ann. Rev. Fluid Mech. , vol. 17 , pp. 191 – 215 , 1985 .
- M. Behnia , G. de Vahl Davis , F. Stella , and G. Guj , A Comparison of Velocity-Vorticity and Stream Function Vorticity Formulations for Pr = 0 , Notes Numer. Fluid Mech. GAMM Workshop , vol. 27 , pp. 19 – 24 , 1990 .
- T. L. Bergman and S. Ramadhyani , Combined Buoyancy and Thermocapillary Driven Convection in Open Square Cavities , J. Numer. Heat Transfer , vol. 9 , pp. 441 – 451 , 1986 .
- M. K. Smith and S. H. Davis , Instabilities of Dynamic Thermocapillary liquid layers, Part 1 Convective Instabilities , J. Fluid. Mech. , vol. 132 , pp. 119 – 144 , 1983 .
- L. E. Scriven and C. V. Sterling , The Marangoni Effects Nature , vol. 187 , pp. 186 – 188 , 1960 .
- D. Villers and J. K. Platten , Marangoni Convection in Systems Presenting a Minimum in Surface Tension , Phys. Chem. Hydrodyn. , vol. 6 , pp. 435 – 451 , 1985 .
- M. C. Limbourg-Fountaine , G. Pétré , and G. C. Legros , Texus 8 Experiment Effects of a Surface Tension Minimum on Thermocapillary Convection , Phys. Chem. Hydrodyn . vol. 6 , pp. 301 – 312 , 1985 .
- T. L. Bergman and J. R. Keller , Combined Buoyancy Surface Tension Flow in Liquid Metals , J. Numer. Heat Trans. , vol. 13 , pp. 49 – 63 , 1988 .
- M. Lacroix , Effects of Buoyancy and Surface Tension Forces on the Melting of a Metal , Numer. Heat Transfer , Part A, vol. 19 , pp. 101 – 115 , 1991 .
- S. Wei and C. Ming-Hsiung , Interaction of Thermocapillary and Natural Convection Flows during Solidification Normal and Reduced Gravity Conditions , J. Cryst. Growth , vol. 108 , pp. 247 – 261 , 1991 .
- D. Schwabe , Marangoni Effects in Crystal Growth Melts , Phys. Chem. Hydrodyn . vol. 2 , pp. 263 – 280 , 1981 .
- A. D. Myshkis , V. G. Babskii , N. D. Kopachevskii , L. A. Slobozhanin , and A. D. Tyuptsov , Low Gravity Fluid Mechanics , Springer-Verlag , New York , 1986 .
- M. Afrid , and A. Zebib , Oscillatory Three-Dimensional Convection in Rectangular Cavities and Enclosures , Phys. Fluids A , vol. 2 , pp. 1318 – 1327 , 1990 .
- V. Babu and S. A. Korpela , Three-Dimensional Thermocapillary Convection in a Cavity , Comput. Fluids , vol. 18 , pp. 229 – 238 , 1990 .
- A. Zebib , G. M. Homsy , and E. Meiburg , High Marangoni Number Convection in a Square Cavity , Phys. Fluids , vol. 28 , pp. 3467 – 3476 , 1985 .
- S. H. Davis , Thermocapillary Instabilities , Annu. Rev. Fluid Mech. , vol. 19 , pp. 403 – 435 , 1987 .
- N. Ramanan and S. A. Korpela , Thermocapillary Convection in an Axisymmetric Pool , Comput. Fluids , vol. 18 , pp. 205 – 215 , 1990 .
- G. de Vahl Davis , Finite Difference Methods for Natural and Mixed Convection in Enclosures , Heat Transfer 86 , pp. 101 – 109 , Hemisphere , Washington , D.C. , 1986 .
- G. Mallinson and G. de Vahl Davis , The Method of the False Transient for the Solution of Coupled Elliptic Equations , J. Comput. Phys. , vol. 12 , no. 4 , pp. 435 – 461 , 1973 .
- A. Samarskii and V. Andreyev , On a High-Accuracy Difference Scheme for Elliptic Equation with Several Space Variables, USSR Comput. Math. Math. Phys. , vol. 3, no. 6, pp. 1373–1382, 1963.
- F. Stella and G. Guj , Parallel Solver for Three-Dimensional Viscous Flows , in P. Messina and P. Murli (eds.), Parallel Computing Problems, Methods and Applications , pp. 389 – 401 , Elsevier , New York , 1992 .
- G. Guj and F. Stella , A Vorticity-Velocity Method for the numerical Solution of 3D Incompressible Flows , J. Comput. Phys. , vol. 106 , no. 2 , pp. 286 – 298 , 1993 .
- G. Guj and F. Stella , Numerical Solution of High-Re Recirculating Flows in Vorticity- Velocity Form , Int. J. Numer. Methods Fluid , vol. 8 , pp. 405 – 416 , 1988 .