AN INCOMPRESSIBLE NAVIER-STOKES MODEL IMPLEMENTED ON NONSTAGGERED GRIDS

References

• Han , T. 1989 . Computational Analysis of Three-Dimensional Turbulent Flow around a Bluff Body in Ground Proximity . AIAA J. , 27 : 1213 – 1219 .
   Google Scholar
• Coelho , P. J. and Pereira , J. C. F. 1992 . Finite Volume Computation of the Turbulent-Flow over a Hill Employing 2D or 3D Non-orthogonal Collocated Grid Systems . Int. J. Numer. Meth. Fluids , 14 : 423 – 441 .
   Web of Science ®Google Scholar
• Barton , I. E. and Kirby , R. 2000 . Finite Difference Scheme for the Solution of Fluid Flow Problems on Non-staggered Grids . Int. J. Numer. Meth. Fluids , 33 : 939 – 959 .
   Web of Science ®Google Scholar
• Harlow , F. H. and Welch , J. E. 1965 . Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface . Phys. Fluids , 8 : 2182 – 2189 .
   Web of Science ®Google Scholar
• Date , A. W. 1993 . Solution of Navier-Stokes Equations on Non-staggered Grids . Int. J. Heat Mass Transfer , 36 : 1913 – 1922 .
   Web of Science ®Google Scholar
• Thiart , G. D. 1990 . Finite Difference Scheme for the Numerical Solution of Fluid Flow and Heat Transfer Problems on Non-staggered Grids . Numer. Heat Transfer B , 17 : 43 – 62 .
   Web of Science ®Google Scholar
• Schneider , G. E. and Raw , M. J. 1987 . Control Volume Finite-Element Method for Heat Transfer and Fluid Flow Using Colocated Variables--1. Computational Procedure . Numer. Heat Transfer , 11 : 363 – 390 .
   Web of Science ®Google Scholar
• Deng , G. B. , Piquet , J. , Queutey , P. and Visonneau , M. 1994 . A New Fully Coupled Solution of the Navier-Stokes Equations . Int. J. Numer. Meth. Fluids , 19 : 605 – 639 .
   Web of Science ®Google Scholar
• Deng , G. B. , Piquet , J. , Queutey , P. and Visonneau , M. 1994 . Incompressible Flow Calculations with a Consistent Physical Interpolation Finite Volume Approach . Comput. Fluids , 23 : 1029 – 1047 .
   Web of Science ®Google Scholar
• Peric , M. , Kessler , R. and Scheuerer , G. 1988 . Comparison of Finite-Volume Numerical Methods with Staggered and Colocated Grids . Comput. Fluids , 16 : 389 – 403 .
   Web of Science ®Google Scholar
• Patankar , S. V. 1981 . A Calculation Procedure for Two-Dimensional Elliptic Situations . Numer. Heat Transfer , 4 : 409 – 425 .
   Google Scholar
• Patankar , S. V. 1980 . Numerical Heat Transfer and Fluid flow , New York : Hemisphere .
   Google Scholar
• Papageorgakopoulos , J. , Arampatzis , G. , Assimacopoulos , D. and Markatos , N. C. 2000 . Enhancement of the Momentum Interpolation Method on Non-staggered Grids . Int. J. Numer Meth. Fluids , 33 : 1 – 12 .
   Web of Science ®Google Scholar
• Rhie , C. M. and Chow , W. L. 1983 . Numerical Study of the Turbulent Flow past an Airfoil with Trailing Edge Separation . AIAA J. , 21 : 1525 – 1532 .
   Google Scholar
• Gjesdai , T. and Lossius , M. E. H. 1997 . A General Algorithm for Compressible and Incompressible Flow . Int. J. Numer Meth. Fluids , 25 : 393 – 405 .
   Google Scholar
• Choi , S. K. , Nam , H. Y. and Cho , M. 1993 . Use of the Momentum Interpolation Method for Numerical Solution of Incompressible Flows in Complex Geometries . Numer. Heat Transfer B , 23 : 21 – 41 .
   Web of Science ®Google Scholar
• Miller , T. F. and Schmidt , F. W. 1988 . Use of a Pressure-Weighted Interpolation Method for the Solution of Incompressible Navier-Stokes Equations on a Nonstaggered Grids System . Numer. Heat Transfer , 14 : 213 – 233 .
   Web of Science ®Google Scholar
• Melaaen , M. C. 1992 . Analysis of Fluid-Flow in Constricted Tubes and Ducts Using BodyFitted Non-staggered Grids . Int. J. Numer. Meth. Fluids , 15 : 895 – 923 .
   Web of Science ®Google Scholar
• Yeo , R. W. , Wood , P. E. and Hrymak , A. N. 1991 . A Numerical Study of Laminar 90-Degree Bend Duct Flow with Different Discretization Schemes . Trans. ASME, J. Fluids Eng. , 113 : 563 – 568 .
   Google Scholar
• Armfield , S. W. 1991 . Finite Difference Solutions of the Navier-Stokes Equations on Staggered and Non-staggered Grids . Comput. Fluids , 20 : 1 – 17 .
   Web of Science ®Google Scholar
• Melaaen , M. C. 1992 . Calculation of Fluid Flows with Staggered and Nonstaggered Curvilinear Nonorthogoral Grids--A Comparison . Numer. Heat Transfer B , 21 : 21 – 39 .
   Web of Science ®Google Scholar
• Wang , M. M. T. , Tony , W. H. and Sheu . 1997 . An Element-by-Element BICGSTAB Iterative Method for Three-Dimensional Steady Navier-Stokes Equations . J. Comput. Appl. Math. , 79 : 147 – 165 .
   Web of Science ®Google Scholar
• Gresho , P. M. and Sani , R. L. 1987 . On Pressure Boundary Conditions for the Incompressible Navier-Stokes Equations . Int. J. Numer. Meth. Fluids , 7 : 1111 – 1145 .
   Web of Science ®Google Scholar
• Quartapelle , L. and Napolitano , M. 1986 . Integral Conditions for the Pressure in the Computation of Incompressible Viscous Flows . J. Comput. Phys. , 62 : 340 – 348 .
   Google Scholar
• Tony , W. H. , Sheu , M. M. T. , Wang , S. F. and Tsai . 1998 . Pressure Boundary Conditions for a Segregated Approach to Solving Incompressible Navier-Stokes Equations . Numer. Heat Transfer B , 34 : 457 – 467 .
   Google Scholar
• Peaceman , D. W. and Rachford , H. H. 1955 . The Numerical Solution of Parabolic and Elliptic Differential Equations . J. SIAM , 3 : 28 – 41 .
   Google Scholar
• Tony , W. H. , Sheu , S. K. , Wang , R. K. and Lin . 2000 . An Implicit Scheme for Solving the Convection-Diffusion-Reaction Equation in Two Dimensions . J. Comput. Phys. , 164 : 123 – 142 .
   Google Scholar
• Rai , M. M. and Anderson , D. A. 1982 . Application of Adaptive Grids to Fluid Flow Problems with Asymptotic Solutions . AIAA J. , 20 : 496 – 502 .
   Google Scholar
• Ghia , U. , Ghia , K. N. and Shin , C. T. 1982 . High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method . J. Comput. Phys. , 48 : 387 – 411 .
   Web of Science ®Google Scholar