EFFICIENCY AND ACCURACY ASPECTS OF A FULL-MULTIGRID SIMPLE ALGORITHM FOR THREE-DIMENSIONAL FLOWS

REFERENCES

• S. V. Patankar and D. B. Spalding , A Calculation Procedure for Heat, Mass, and Momentum Transfer in Three-Dimensional Parabolic Flows , Int. J. Heat Mass Transfer , vol. 15 , pp. 1787 – 1806 , 1972 .
   Web of Science ®Google Scholar
• J. P. Van Doormal , G. D. Raithby , and B. H. McDonald , The Segregated Approach to Predicting Viscous Compressible Fluid Flows , ASME J. Turbomachinery , vol. 109 , pp. 268 – 277 , 1987 .
   Web of Science ®Google Scholar
• K. C. Karki and S. V. Patankar , Pressure Based Calculation Procedure for Viscous Flows at all Speeds in Arbitrary Configurations , AIAA J ., vol. 27 , pp. 1163 – 1174 , 1989 .
   Google Scholar
• I. Demirdiic , Z. Lilek , and M. Perid , A Colocated Finite Volume Method for Predicting Flows at all Speeds , Int. J. Numer. Meth. Fluids , vol. 16 , pp. 1029 – 1050 , 1993 .
   Web of Science ®Google Scholar
• S. P. Vanka , Block-Implicit Multigrid Solution of Navier-Stokes Equations in Primitive Variables , J. Comput. Phys. , vol. 65 , pp. 138 – 158 , 1986 .
   Web of Science ®Google Scholar
• S. P. Vanka and G. K. Leaf , Fully Coupled Solution of Pressure Linked Fluid Flow Equations , Argonne Natl. Lab. Rep. ANL-83-73 , Chicago , IL , 1983 .
   Google Scholar
• P. F. Galpin , J. P. Van Doormaal , and G. D. Raithby , Solution of the Incompressible Mass and Momentum Equations by Application of a Coupled Equation Line Solver , Int. J. Numer. Meth. Fluids , vol. 5 , pp. 615 – 625 , 1985 .
   Web of Science ®Google Scholar
• H.-J. Leister and M. Peril , Numerical Simulation of a 3D Czochralski Melt Flow by a Finite Volume Multigrid Algorithm , J. Crystal Growth , vol. 123 , pp. 567 – 574 , 1992 .
   Web of Science ®Google Scholar
• I. Demirdzil , Z. Lilek , and M. Peric , Fluid Flow and Heat. Transfer Test Problems for Non-orthogonal Grids Bench-Mark Solutions , Int. J. Numer. Meth. Fluids , vol. 15 , pp. 329 – 354 , 1992 .
   Web of Science ®Google Scholar
• L. Kadinski and M. Peril , Numerical Study of Grey-Body Surface Radiation Coupled with Fluid Flow for General Geometries Using a Finite Volume Multigrid Solver , Int. J. Heat Fluid Flow , vol. 6 , pp. 3 – 18 , 1996 .
   Web of Science ®Google Scholar
• F. Durst , L. Kadinski , M. Peric , and M. Schafer , Numerical Study of Transport Phenomena in MOCVD Reactors Using a Finite Volume Multigrid Solver , J. Crystal Growth , vol. 125 , pp. 612 – 626 , 1992 .
   Web of Science ®Google Scholar
• M. Peric , M. Riiger , and G. Scheuerer , A Finite Volume Multigrid Method for Calculating Turbulent Flows , Proc. 7th Symp. on Turbulent Shear Flows , vol. 1 , pp. p7.3.1–7.3.6 p, Stanford University , Palo Alto , GA , 1989 .
   Google Scholar
• Z. Lilek , Ein Finite-Volumen Verfahren zur Berechnung von inkompressiblen und kompressiblen Stromungen in komplexen Geometrien mit bewegtichen Randern und freien Oberflachen , Dissertation , University of Hamburg , Germany , 1995 .
   Google Scholar
• K. C. Karki , P. S. Sathyamurthy , and S. V. Patankar , Performance of a Multigrid Method with an Improved Discretization Scheme for Three-Dimensional Fluid Flow Calculations , Numer. Heat Transfer , Part B , vol. 29 , pp. 275 – 288 , 1996 .
   Web of Science ®Google Scholar
• J. H. Ferziger and M. Peril , Computational Methods for Fluid Dynamics , chaps. 3,4,8,11 , Springer-Verlag , Berlin , 1995 .
   Google Scholar
• I. Demirdzic , S. Muzaferija , and M. Peril , Advances in Computation of Heat Transfer, Fluid Flow, and Solid Body Deformation Using Finite Volume Approaches , in W. J. Minkowycz and E, M. Sparrow (eds.) , Advances in Numerical Heat Transfer , chap. 2 , Taylor & Francis , New York , 1996 .
   Google Scholar
• Z. Lilek and M. Peril , A Fourth-Order Finite Volume Method with Colocated Variable Arrangement , Comput. Fluids , vol. 24 , pp. 239 – 252 , 1995 .
   Web of Science ®Google Scholar
• S. V. Patankar , Numerical Heat Transfer and Fluid Flow , McGraw-Hill , New York , 1980 .
   Google Scholar
• S. Muzaferija , Adaptive Finite Volume Method for Flow Predictions Using Unstructured Meshes and Multigrid Approach , Ph.D. thesis , University of London , UK , 1994 .
   Google Scholar
• P. K. Khosla and S. G. Rubin , A Diagonally Dominant Second-Order Accurate Implicit Scheme , Comput. Fluids , vol. 2 , pp. 207 – 209 , 1974 .
   Google Scholar
• H. L. Stone , Iterative Solution of Implicit Approximations of Multi-Dimensional Partial Differential Equations , SIAMJ. Numer. Anal. , vol. 5 , pp. 530 – 558 , 1968 .
   Web of Science ®Google Scholar
• H.J. Leister and M. Peril , Vectorized Strongly Implicit Solving Procedure for Seven-Diagonal Coefficient Matrix , Int. J. Heat Fluid Flow , vol. 4 , pp. 159 – 172 , 1994 .
   Web of Science ®Google Scholar
• C. M. Rhie and W. L. Chow , A Numerical Study of the Turbulent Flow Past an Isolated Airfoil with Trailing Edge Separation , A1AA J. , vol. 21 , pp. 1525 – 1532 , 1983 .
   Google Scholar
• Address correspondence to Dr. Milovan Perid, Institut fur Schiffbau, Universitat Hamburg, Lammersieth 90, D-22305 Hamburg, Germany. E-mail: [email protected]
   Google Scholar