Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 64, 2013 - Issue 1
171
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Nodal Integral Method Using Quadrilateral Elements for Transport Equations: Part 2-Navier-Stokes Equations

, &
Pages 22-47 | Received 13 Dec 2012, Accepted 12 Feb 2013, Published online: 02 May 2013

REFERENCES

  • N. Kumar , S. Singh , and J. B. Doshi , Nodal Integral Method Using Quadrilateral Elements for Transport Equations: Part 1—Convection-Diffusion Equation , Numer. Heat Transfer B , vol. 64 , no. 1, pp. 1 – 21 , 2013 .
  • R. D. Lawrence , Progress in Nodal Methods for the Solutions of Neutron Diffusion and Transport Equations , Prog. Nucl. Energy , vol. 17 , pp. 271 – 301 , 1986 .
  • Rizwan-uddin , An Improved Coarse-Mesh Nodal Integral Method for Partial Differential Equation , Numer. meth. Partial Differ. Eqs. , vol. 13 , pp. 113 – 145 , 1997 .
  • E. P. F. Michael , J. J. Dorning , and Rizwan-uddin , Studies on Nodal Integral Methods for the Convection-Diffusion Equation , Nucl. Sci. Eng. , vol. 137 , pp. 380 – 399 , 2001 .
  • F. Wang and Rizwan-uddin , A Modified Nodal Scheme for the Time Dependent Incompressible Navier-Stokes Equations , J. Comput. Phys. , vol. 187 , pp. 168 – 196 , 2003 .
  • N. Kumar , S. Singh , and J. B. Doshi , Pressure Correction Based Iterative Scheme for Navier-Stokes Equation Using Nodal Integral Method , Numer. Heat Transfer B , vol. 62 , pp. 264 – 288 , 2012 .
  • I. Demirdzic , 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 .
  • E. G. Nezami , S. Singh , N. Sobh , and Rizwan-uddin , A Nodal Integral Method for Quadrilateral Elements , Int. J. Numer. Meth. Fluid , vol. 61 , pp. 144 – 164 , 2009 .
  • T. J. Chung , Computational Fluid Dynamics , Cambridge University Press , UK , 2002 .
  • C. A. J. Fletcher , Computational Techniques for Fluid Dynamics I , Springer-Verlag , New York , 1988 .
  • C. W. Oosterlee , P. Wesseling , A. Segal , and E. Brakkee , Benchmark Solutions for the Incompressible Navier-Stokes Equations in General Co-ordinates on Staggered Grids , Int. J. Numer. Meth. Fluids , vol. 17 , pp. 301 – 321 , 1993 .
  • M. Louaked , L. Hanich , and K. D. Nguyen , An Efficient Finite Difference Technique for Computing Incompressible Viscous Flows , Int. J. Numer. Meth. Fluids , vol. 25 , pp. 1057 – 1082 , 1997 .
  • F. Moukalled and M. Darwish , New Bounded Skew Central Difference Scheme, Part I: Formulation and Testing , Numer. Heat Transfer B , vol. 31 , pp. 91 – 110 , 1997 .
  • D. G. Roychowdhury , S. K. Das , and T. Sundararajan , An Efficient Solution Method for Incompressible N-S Equations Using Nonorthogonal Collocated Grid , Int. J. Numer. Meth. Eng. , vol. 45 , pp. 741 – 763 , 1999 .
  • J. R. Pacheco and R. E. Peck , Nonstaggered Boundary-Fitted Coordinate Method for Free Surface Flows , Numer. Heat Transfer B , vol. 37 , pp. 267 – 291 , 2000 .
  • A. Shklyar and A. Arbel , Numerical Method for Calculation of the Incompressible Flow in General Curvilinear Co-ordinates with Double Staggered Grid , Int. J. Numer. Meth. Fluids , vol. 41 , pp. 1273 – 1294 , 2003 .
  • E. Erturk and B. Dursun , Numerical Solutions of 2-D Steady Incompressible Flow in a Driven Skewed Cavity , ZAMM—J. Appl. Math. Mech. , vol. 87 , pp. 377 – 392 , 2007 .
  • J. R. Pacheco , A. Pacheco-Vega , T. Rodic , and R. E. Peck , Numerical Simulations of Heat Transfer and Fluid Flow Problems Using an Immersed-Boundary Finite-Volume Method on Nonstaggered Grids , Numer. Heat Transfer B , vol. 48 , pp. 1 – 24 , 2005 .
  • Y. P. Cheng , T. S. Lee , H. T. Low , and W. Q. Tao , An Efficient and Robust Numerical Scheme for the SIMPLER Algorithm on Non-orthogonal Curvilinear Coordinates: CLEARER , Numer. Heat Transfer B , vol. 51 , pp. 433 – 461 , 2007 .
  • S. B. Paramane and A. Sharma , Consistent Implementation, and Comparison of FOU, CD, SOU, and QUICK Convection Scheme on Square, Skew, Trapezoidal and Triangular Lid-Driven Cavity Flow , Numer. Heat Transfer B , vol. 54 , pp. 84 – 102 , 2008 .

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.