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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 51, 2007 - Issue 5
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Original Articles

Improvement of SIMPLER Algorithm for Incompressible Flow on Collocated Grid System

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Pages 463-486 | Accepted 12 Jun 2006, Published online: 14 May 2007

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 .
  • C. M. Rhie and W. L. Chow , Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separations , AIAA J. , vol. 21 , pp. 1525 – 1535 , 1983 .
  • M. C. Melaaen , Calculation of Fluid Flows with Staggered and Non-staggered Curvilinear Non-orthogonal Grids—A Comparison , Numer. Heat Transfer B , vol. 21 , pp. 21 – 39 , 1992 .
  • S. K. Choi , N. H. Yun , and M. Cho , Use of Staggered and Nonstaggered Grid Arrangements for Incompressible Flow Calculations on Nonorthogonal Grids , Numer. Heat Transfer B , vol. 25 , pp. 193 – 204 , 1994 .
  • S. K. Choi , N. H. Yun , and M. Cho , Systematic Comparison of Finite Volume Methods with Staggered and Nonstaggered Grid Arrangements , Numer. Heat Transfer B , vol. 25 , pp. 205 – 221 , 1994 .
  • S. Majumdar , Role of Underrelaxation in Momentum Interpolation for Calculation of Flow with Nonstaggered Grids , Numer. Heat Transfer , vol. 13 , pp. 125 – 132 , 1988 .
  • T. F. Miller and F. W. Schmidt , Use of a Pressure-Weighted Interpolation Method for the Solution of Incompressible Navier-Stokes Equations on a Non-staggered Grid System , Numer. Heat Transfer , vol. 14 , pp. 213 – 233 , 1988 .
  • M. H. Kobayashi and J. C. F. Perira , Numerical Comparison of Momentum Interpolation Methods and Pressure-Velocity Algorithm Using Nonstaggered Grids , Commum. Appl. Numer. Mech. , vol. 7 , pp. 173 – 196 , 1991 .
  • S. K. Choi , Note on the Use of Momentum Interpolation Method for Unsteady Flows , Numer. Heat Transfer A , vol. 36 , pp. 545 – 550 , 1999 .
  • B. Yu , Y. Kawaguchi , W. Q. Tao , and H. Ozoe , Checkerboard Pressure Predictions due to the Underrelaxation Factor and Time Step Size for a Nonstaggered Grid with Momentum Interpolation Method , Numer. Heat Transfer B , vol. 41 , pp. 85 – 94 , 2002 .
  • B. Yu , W. Q. Tao , J. J. Wei , Y. Kawaguchi , T. Tagawa , and H. Ozoe , Discussion on Momentum Interpolation Method for Collocated Grids of Incompressible Flow , Numer. Heat Transfer B , vol. 42 , pp. 141 – 166 , 2002 .
  • W. Q. Tao , Z. G. Qu , and Y. L. He , A Novel Segregated Algorithm for Incompressible Fluid Flow and Heat Transfer Problems—CLEAR (Coupled and Linked Equations Algorithm Revised) Part I: Mathematical Formulation and Solution Procedure , Numer. Heat Transfer B , vol. 45 , pp. 1 – 17 , 2004 .
  • W. Q. Tao , Z. G. Qu , and Y. L. He , A Novel Segregated Algorithm for Incompressible Fluid Flow and Heat Transfer Problems—CLEAR (Coupled and Linked Equations Algorithm Revised) Part II: Application Examples , Numer. Heat Transfer B , vol. 45 , pp. 19 – 48 , 2004 .
  • Z. G. Qu , W. Q. Tao , and Y. L. He , Implementation of CLEAR Algorithm on Collocated Grid System and Application Examples, Numer. Heat Transfer B , vol. 46, pp. 65–96, 2005.
  • W. Q. Tao , Numerical Heat Transfer, , 2nd ed. , Xi'an Jiaotong University Press , Xi'an , China , 2001 .
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington , DC , 1980 .
  • Z. Y. Li and W. Q. Tao , A New Stability-Guaranteed Second-Oder Difference Scheme , Numer. Heat Transfer B , vol. 42 , pp. 349 – 365 , 2002 .
  • W. F. Ames , Numerical Methods for Partial Differential Equations, , 2nd ed. , Academic Press , New York , 1977 .
  • C. Prakash and S. V. Patankar , Combined Free and Forced Convection in Vertical Tube with Radial Internal Fin , ASME J. Heat Transfer , vol. 7 , pp. 566 – 572 , 1981 .
  • U. Ghie , K. N. Ghie , and C. T. Shin , High-Re Solution for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method , J. Comput. Phys. , vol. 48 , pp. 387 – 411 , 1982 .
  • G. Barakos and E. Mitsoulis , Natural Convection Flow in a Square Cavity Revisited: Laminar and Turbulent Models with Wall Function , Int. J. Numer. Meth. Fluids , vol. 18 , pp. 695 – 719 , 1994 .
  • L. Fuchs and N. Tillmark , Numerical and Experimental Study of Driven Flow in a Polar Cavity , Int. J. Numer. Meth. Fluids , vol. 5 , pp. 311 – 329 , 1985 .
  • T. H. Kuehn and R. J. Goldstein , An Experimental and Theoretical Study of Natural Convection in the Annulus between Horizontal Concentric Cylinders , J. Fluid Mech. , vol. 74 , pp. 695 – 715 , 1969 .

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