DISCUSSION ON MOMENTUM INTERPOLATION METHOD FOR COLLOCATED GRIDS OF INCOMPRESSIBLE FLOW

References

• Choi , S. K. , Nam , H. Y. and Cho , M. 1993 . Use of the Momentum Interpolation Method for Numerical Solutions of Incompressible Flows in Complex Geometries: Choosing Cell Face Velocities . Numer. Heat Transfer A , 23 : 21 – 41 .
   Google Scholar
• Issa , R. I. and middle , P. J. 1994 . Numerical Prediction of Phase-Separation in 2-Phase FlowThrough T-Junctions . Compta. Fluids , 23 : 347 – 372 .
   Google Scholar
• Oliveira , P. J. , Pinho , F. T. and Pinto , G. A. 1998 . Numerical Simulation of Non-Linear Elastic Flows with a General Collocated Finite-Volume Method . J. Non-Newtonian Fluid Mech. , 79 : 1 – 43 .
   Web of Science ®Google Scholar
• Ghia , U. , Ghia , K. N. and Shin , C. T. 1982 . High-Re Solutions for Incompressibb Flow Using the Navier-Stokes Equations and a Multigrid Method . J. Comput. Phys. , 48 : 387411
   Google Scholar
• Rhie , C. M. and Chow , W. L. 1983 . Numerical Study of the Turbulent Flow Past an Airfoil with Trading Edge Separation . AIAA J. , 21 ( 11 ) : 1525 – 1535 .
   Google Scholar
• M. Peric, A Finite Volume Method for the Prediction of Three-Dimensional Fluid Flow in Complex Ducts, Ph.D. thesis, University of London, London, UK, 1985.
   Google Scholar
• S. Majumdar, Development of a Finite-Volume Procedure for Prediction of Fluid Flow Problems with Complex Irregular Boundaries, Rep. 210/T/29, SFB210, University of Karlsrule, Germany, 1986.
   Google Scholar
• Majumdar , S. 1988 . Role of Underrelaxation in Momentum Interpolation for Calculation of Flow with Nonstaggered Grids . Numer. Heat Transfer , 13 : 125 – 132 .
   Web of Science ®Google Scholar
• Miller , T. F. and Schmidt , F. W. 1988 . Use of a Pressure-Weighted Interpolation Method for the Solution of Incompressibb Navier-Stokes Equations on a Non-Staggered Grid System . Numer. Heat Transfer , 14 : 213 – 233 .
   Web of Science ®Google Scholar
• Kobayashi , M. H. and Pereira , J. C. F. 1991 . Numerical Comparison of Momentum Interpolation Methods and Pressure-Velocity Algorithm Using N on staggered Grids . Commun. Appl. Numer. Meth. , 7 : 173 – 196 .
   Web of Science ®Google Scholar
• Choi , S. K. 1999 . Note on the Use of Momentum Interpolation Method for Unsteady Flows . Numer. Heat Transfer A , 36 : 545 – 550 .
   Web of Science ®Google Scholar
• Yu , B. , Kawaguchi , Y. , Tao , W. Q. and Ozoe , H. 2002 . Checkerboard Pressure Predictions Due to the Underrelaxation Factor and Time Step Size for a N on staggered Grid with Momentum Interpolation Method . Numer. Heat Transfer B , 41 ( 1 ) : 85 – 94 .
   Web of Science ®Google Scholar
• Date , A. W. 1996 . Complete Pressure Correction Algorithm for Solution of Incompressibb Navier-Stokes Equations on a Nonstaggered Grid . Numer. Heat Transfer B , 29 : 441 – 458 .
   Web of Science ®Google Scholar
• Gu , C. Y. 1991 . “ Computation of Flows with Large Body Forces ” . In Numerical Methods in Laminar and Turbulent Flow , Edited by: Taylor , C. , Chin , J. H. and Homsy , G. M. Swansea, UK : Pineridge Press .
   Google Scholar
• Rahman , M. M. , Miettinen , A. and Siikonen , T. 1996 . Modified Simple Formulation on a Collocated Grid with an Assessment of the Simplified QUICK Scheme . Numer. Heat Transfer B , 30 : 291 – 314 .
   Web of Science ®Google Scholar
• Gjesdal , T. and Lossius , M. E. H. 1997 . Comparison of Pressure Correction Smoothers for Multigrid Solution of Incompressibb Flow . Int. J. Numer. Meth. Fluids , 25 : 393 – 405 .
   Web of Science ®Google Scholar
• Melaaen , M. C. 1992 . Calculation of Fluid Flows with Staggered and Non-Staggered Curvilinear Non-Orthogonal Grids-A Comparison . Numer. Heat Transfer B , 21 : 2139
   Google Scholar
• Choi , S. K. , Yun , N. H. and Cho , M. 1994 . Use of Staggered and Nonstaggered Grid Arrangements for Incompressible Flow Calculations on Nonorthogonal Grids . Numer. Heat Transfer B , 25 : 193 – 204 .
   Web of Science ®Google Scholar
• Choi , S. K. , Yun , N. H. and Cho , M. 1994 . Systematic Comparison of Finite Volume Methods with Staggered and Nonstaggered Grid Arrangements . Numer. Heat Transfer B , 25 : 205 – 221 .
   Web of Science ®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 – 22 .
   Web of Science ®Google Scholar
• Thiart , G. D. 1990 . Improved Finite-Difference Scheme for the Solution of ConvectionDiffusion Problems with the SIMPLEN Algorithm . Numer. Heat Transfer B , 18 : 81 – 95 .
   Web of Science ®Google Scholar
• Thiart , G. D. 1990 . Finite-Difference Scheme for the Numerical Solution of the Fluid-Flow and Heat-Transfer Problems on Nonstaggered Grids . Numer. Heat Transfer B , 17 : 4362
   Google Scholar
• Wang , Q. W. , Wei , J. G. and Tao , W. Q. 1998 . An Improved Numerical Algorithm for Solution of Convective Heat Transfer Problems on Nonstaggered Grid System . Heat and Mass Transfer , 33 : 273 – 280 .
   Web of Science ®Google Scholar
• Patankar , S. V. 1980 . Numerical Heat Transfer and Fluid Flow , Washington, DC : Hemisphere .
   Google Scholar
• Leonard , B. P. 1979 . A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation . Comput. Meth. Appl. Mech. Eng. , 19 : 59 – 98 .
   Web of Science ®Google Scholar
• Hayase , T. , Humphrey , J. A. C. and Grief , R. 1992 . A Consistently Formulated QUICK Scheme for Fast and Stable Convergence Using Finite-Volume Iterative Calculation Procedure . J. Comput. Phys. , 98 : 108 – 118 .
   Web of Science ®Google Scholar
• Khosla , P. K. and Rubin , S. G. 1974 . A Diagonally Dominant Second-Order Accurate Implicit Scheme . Comput. Fluids , 2 : 207 – 218 .
   Google Scholar