MULTIGRID ACCELERATION OF THREE-DIMENSIONAL, TURBULENT. VARIABLE-DENSITY FLOWS

REFERENCES

• W. P. Jones and J. H. Whitelaw , Calculation Methods for Turbulent Reacting Flows , Com¬bust. Flame , vol. 48 , 1982 .
   Google Scholar
• U. Ghia , K. N. Ghia , and C. T. Shin , High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multi-Grid Method , J. Comput. Phys. , vol. 19 , pp. 387 – 411 , 1975 .
   Google Scholar
• R. E. Phillips , T. F. Miller , and F. W. Schmidt , A Multilevel-Multigrid Algorithm for Axi-symmetric Recirculating Flows , Fifth Syrnp. Turbulent Shear Flows , Cornell University , Ithaca , N.Y. , pp. p20.21–20.25 p, 1985 .
   Google Scholar
• S. P. Vanka , Block-Implicit Multigrid Solution of Navier-Stokes Equations in Primitive Vari¬ables , J. Comput. Phys. , vol. 65 , pp. 138 – 158 , 1986 .
   Web of Science ®Google Scholar
• S. Sivaloganathan and G. J. Shaw , A Multigrid Method for Recirculating Flows , Int. J. Numer. Meth. Fluids , vol. 8 , pp. 417 – 440 , 1988 .
   Web of Science ®Google Scholar
• M. Barcus , M. Peric , and G. Scheuerer , Finite-Volume Multigrid Solutions of the Two-Dimensional Incompressible Navier-Stokes Equations , Notes Numer. Fluid Mech. , Vieweg, Braunschweig , vol. 23 , pp. 37 – 47 , 1988 .
   Google Scholar
• A. O. Demuren , Application of Multi-Grid Methods for Solving the Navier-Stokes Equa¬tions , Proc. Inst. Mech. Eng. , vol. 203 , pp. 257 – 265 , 1989 .
   Google Scholar
• A. Brandt , Multigrid Techniques 1984 Guide with Applications to Fluid Dynamics, von Karman Inst. Lecture Ser. 194-04 , pp. 1 – 183 , 1984 ,
   Google Scholar
• D. S. Joshi and S. P. Vanka , A Multigrid Calculation Procedure for Internal Flows in Complex Geometries , 28th Aerospace Sciences Meeting , Reno , Nevada , AIAA-90-0442 , 1990 .
   Google Scholar
• C. M. Vaughan , S. Gilham , and J. W. Chew , Numerical Solutions of Rotating Disc Plows Using a Nonlinear Multigrid Algorithm , Proc. 6th Int. Conf. Numerical Methods in Fluids , Swansea , pp. 63 – 73 , 1989 .
   Google Scholar
• J. W. Yokota , Diagonally Inverted Lower-Upper Factored Implicit Multigrid Scheme for the Three-Dimensional Navier-Stokes Equations , AIAA J. , vol. 29 , no. 9 , pp. 1642 – 1649 , 1990 .
   Google Scholar
• M. Peric , M. Ruger , and G. Scheuerer , A Finite-Volume Multigrid Method for Calculating Turbulent Flows , 7th Symp. Turbulent Shear Flows , Stanford University , Stanford , Calif. , pp. p7.3.1–7 3.6 p, 1989 .
   Google Scholar
• B. E. Launder and D. B. Spalding , Numerical Computation of Turbulent Flows , Comput. Meth. Appi Mech. Eng. , vol. 3 , pp. 269 – 289 , 1974 .
   Google Scholar
• A. Pollard and P. K. Yeung , Empirical Constants in the k-𝛆 Model for Turbulent Channel Flow , Report No. TFG-90-1 , Dept. Mech. Eng. , Queen's University , Kingston , Ont. K7L 3N6 , Canada .
   Google Scholar
• G. J. Shaw and S. Sivaloganathan , On the Smoothing Properties of the SIMPLE Pressure Correction Algorithm , Int. J. Numer. Meth. Fluids , vol. 8 , pp. 441 – 462 , 1988 .
   Web of Science ®Google Scholar
• S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington , D.C. , 1980 .
   Google Scholar
• K. Stuben and G. Trottenberg , Multigrid Methods Fundamental Algorithms, Model Problem Analysis, and Applications , in Multigrid Methods, Lecture Notes in Mathematics , vol. 960 , Springer-Verlag , Heidelberg , 1982 .
   Google Scholar
• J. P. Van Doormaal and G. D. Raithby , Enhancements of the SIMPLE Method for Predicting Incompressible Fluid Flows , Numer. Heat Transfer , vol. 7 , pp. 147 – 163 , 1984 .
   Web of Science ®Google Scholar
• B. R. Latimer and A. Pollard , Comparison of Pressure-Velocity Coupling Solution Algorithms , Numer. Heat Transfer , vol. 8 , pp. 635 – 652 , 1985 .
   Web of Science ®Google Scholar
• P. A. Rubini and A. Pollard , An Embedded Multigrid/Multilevel Calculation Procedure for Three-Dimensional Variable-Density Turbulent Flows , Queen's University , Kingston , Ontario , in preparation .
   Google Scholar
• S. P. Vanka , Block-Implicit Computation of Viscous Internal Flows—Recent Results , AIAA paper No. AIAA-87-0058 , New York , 1987 .
   Google Scholar
• M. Matovic , A. Pollard , and P. Rubini , Evaluation of SIP and ADI Schemes for Three-Dimensional Turbulent Flows , Queen's University , Kingston , Ontario , in preparation .
   Google Scholar