Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 64, 2013 - Issue 1
127
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Fourier Analysis of the Effect of Momentum Interpolation on the SIMPLE Series Formulated on a Collocated Grid

, &
Pages 48-70 | Received 15 Dec 2012, Accepted 12 Feb 2013, Published online: 02 May 2013

REFERENCES

  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington , DC , 1980 .
  • S. V. Patankar , A Calculation Procedure for Two-Dimensional Elliptic Situations , Numer. Heat Transfer , vol. 4 , pp. 409 – 425 , 1981 .
  • J. P. Van Doormaal and G. D. Raithby , Enhancement of the SIMPLE Method for Predicting Incompressible Fluid Flow , Numer. Heat Transfer , vol. 7 , pp. 147 – 163 , 1984 .
  • B. Yu , and H. Ozoe , A Modified Pressure-Correction Scheme for the SIMPLER Method, MSIMPLER , Numer. Heat Transfer B , vol. 39 , pp. 435 – 449 , 2001 .
  • 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 .
  • Y. P. Cheng and T. S. Lee , Improvement of SIMPLER Algorithm for Incompressible Flow on Collocated Grid System , Numer. Heat Transfer B , vol. 51 , pp. 463 – 486 , 2007 .
  • D. L. Sun , Z. G. Qu , Y. L. He , and W. Q. Tao , An Efficient Segregated Algorithm for Incompressible Fluid Flow and Heat Transfer Problem—IDEAL (Inner Doubly Iterative Efficient Algorithm for Linked Equations). Part I: Mathematical Formulation and Solution Procedure, Numer. Heat Transfer B , vol. 53, pp. 1–17, 2008.
  • T. F. Miller , Use of a Pressure-Weighted Interpolation Method for the Solution of the Incompressible Navier-Stokes Equations on a Nonstaggered Grid System , Numer. Heat Transfer , vol. 14 , pp. 213 – 233 , 1988 .
  • M. C. Melaaen , Calculation of Fluid Flows with Staggered and Nonstaggered Curvilinear Nonorthogonal Grids—A Comparison , Numer. Heat Transfer B , vol. 21 , pp. 21 – 39 , 1992 .
  • S. K. Choi , Systematic Comparison of Finite-Volume Calculation Methods with Staggered and Nonstaggered Grid Arrangement , Numer. Heat Transfer B , vol. 25 , pp. 205 – 221 , 1994 .
  • M. Peric , Comparison of Finite-Volume Numerical Methods with Staggered and Collocated Grids , Comput. Fluids , vol. 16 , pp. 389 – 403 , 1998 .
  • C. M. Rhie and W. L. Chow , A Numerical Study of the Turbulent Flow Past an Isolated Airfoil with Trailing Edge Separation , AAIA J. , vol. 21 , pp. 1525 – 1532 , 1983 .
  • S. Majumdar , Role of Underrelaxation in Momentum Interpolation for Calculation of Flow with Nonstaggered Grid , Numer. Heat Transfer , vol. 15 , pp. 125 – 132 , 1988 .
  • S. K. Choi , Note on the Use of Momentum Interpolation Method for Unsteady Flows , Numer. Heat Transfer B , vol. 36 , pp. 545 – 550 , 1999 .
  • J. Papageorgakopoulos , G. Arampatzis , D. Assimacopoulos , and N. C. Markatos , Enhancement of the Momentum Interpolation Method on Non-staggered Grids , Int. J. Numer. Meth. Fluids , vol. 33 , pp. 1 – 22 , 2000 .
  • G. D. Thiart , Finite Difference Scheme for the Numerical Solution of Fluid Flow and Heat Transfer Problems on Nonstaggered Grid , Numer. Heat Transfer B , vol. 17 , pp. 43 – 62 , 1990 .
  • Q. W. Wang and W. Q. Tao , An Improved Numerical Algorithm for Solution of Convective Heat Transfer Problems on Nonstaggered Grid System , Heat and Mass Transfer , vol. 33 , pp. 273 – 280 , 1998 .
  • A. Ashrafizadeh , M. Rezvani , and B. Bakhtiari , Pressure–Velocity Coupling on Co-located Grids Using the Method of Proper Closure Equations , Numer. Heat Transfer B , vol. 56 , pp. 259 – 273 , 2009 .
  • L. Bu , J. Y. Zhao , and K. J. Tseng , Study on Momentum Interpolation Methods with Curvilinear Collocated Grids in Single-Phase and Two-Phase Flows , Numer. Heat Transfer B , vol. 61 , pp. 298 – 310 , 2012 .
  • T. F. Miller , Fourier Analysis of the SIMPLE Algorithm Formulated on a Collocated Grid , Numer. Heat Transfer B , vol. 30 , pp. 45 – 66 , 1996 .
  • F. Wang and Y. T. Li , An Approaching Fourier Analysis of the Relaxation Effect on the SIMPLE Algorithm , Numer. Heat Transfer A , vol. 62 , pp. 499 – 511 , 2012 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.