NUMERICAL SIMULATION OF BUOYANT AND THERMOCAPILLARY CONVECTION IN A SQUARE CAVITY

REFERENCES

• D. Schwabe and J. Metzger , Coupling and Separation of Buoyant and Thermocapillary Convection , J. Cryst. Growth , vol. 97 , pp. 23 – 33 , 1989 .
   Web of Science ®Google Scholar
• M. Perić , R. Kessler , and G. Scheuerer , Comparison of Finite Volume Numerical Methods with Staggered and Colocated Grids , Comput. Fluids , vol. 16 , pp. 389 – 403 , 1988 .
   Web of Science ®Google Scholar
• G. De Vahl Davies and I. P. Jones , Natural Convection in a Square Cavity A Comparison Exercise , Int. J. Numer. Meth. Fluids , vol. 3 , pp. 227 – 248 , 1983 .
   Google Scholar
• M. Hortmann , M. Perić and G. Scheuerer , Finite Volume Multigrid Prediction of Laminar Natural Convection Benchmark Solutions , Int. J. Numer. Meth. Fluids , vol. 11 , pp. 189 – 207 , 1990 .
   Web of Science ®Google Scholar
• G. Neumann , Three-Dimensional Numerical Simulation of Buoyancy-Driven Convection in Vertical Cylinders Heated from Below , J. Fluid Mech ., vol. 214 , pp. 559 – 578 , 1990 .
   Web of Science ®Google Scholar
• A. Zebib , G. M. Homsy , and E. Meiburg , High Marangoni Number Convection in a Square Cavity , Phys. Fluids , vol. 28 , no. 12 , pp. 3467 – 3476 , 1985 .
   Web of Science ®Google Scholar
• B. M. Carpenter and G. M. Homsey , Combined Buoy ant-Thermocapillary Flow in a Cavity , J. Fluid Mech ., vol. 207 , pp. 121 – 132 , 1989 .
   Web of Science ®Google Scholar
• D. Villers and J. K. Platten , Marangoni Convection in Systems Presenting a Minimum in Surface Tension , Physico, Chem. Hydrodyn ., vol. 6 , no. 4 , pp. 435 – 451 , 1985 .
   Google Scholar
• R. Rupp , G. Miiller , and G. Neumann , Three-Dimensional Time Dependent Modelling of the Marangoni Convection in Zone Melting Configurations for GaAs , J. Cryst. Growth , vol. 97 , pp. 34 – 41 , 1989 .
   Web of Science ®Google Scholar
• R. Roux , H. Ben Hadid, and P. Laure , Numerical Simulation of Oscillatory Convection in Semiconductor Melts , J. Cryst. Growth , vol. 97 , pp. 201–216 , 1989 .
   Google Scholar
• A. K. Sen and S. H. Davis , Steady Thermocapillary Flows in Two-Dimensional Slots , J. Fluid Mech ., vol. 121 , pp. 163 – 186 , 1982 .
   Web of Science ®Google Scholar
• P. K. Khosia and S. G. Rubin , A Diagonally Dominant Second-Order Accurate Implicit Scheme , Comput. Fluids , vol. 2 , pp. 207 – 209 , 1974 .
   Google Scholar
• M. Hortmann , Berechnung Zweidimensionaler, Laminarer Auftriebsströmungen mit Finite-Volumen-Mehrgittermethode , Diploma thesis , Universität Erlangen-Nürnberg , Germany , 1989 .
   Google Scholar
• H. L. Stone , Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations , SIAM J. Numer. Anal , vol. 5 , pp. 530 – 558 , 1968 .
   Web of Science ®Google Scholar
• Verein Deutscher Ingenieure (ed.), VDI-Wärmeatlas, 3rd ed., chap. D, VDI-Verlag GmbH , Düsseldorf , Germany , 1977 .
   Google Scholar
• D. D. Gray and A. Giorgini , The Validity of the Boussinesq Approximation for Liquids and Gases , Int. J. Heat Mass Transfer , vol. 19 , pp. 545 – 550 , 1976 .
   Web of Science ®Google Scholar