44
Views
44
CrossRef citations to date
0
Altmetric
Original Articles

FINITE-ELEMENT SOLUTION PROCEDURES FOR SOLVING THE INCOMPRESSIBLE, NAVIER-STOKES EQUATIONS USING EQUAL ORDER VARIABLE INTERPOLATION

, &
Pages 433-451 | Published online: 27 Feb 2007

REFERENCES

  • C. Taylor and P. Hood , A Numerical Solution of the Navier-Stokes Equations Using Finite Element Technique , Comput. Fluids , vol. I , no. 1 , pp. 73 – 100 , 1973 .
  • Y. Yamada , K. Ito , Y. Yocouchi , T. Tamano , and T. Ohteubo , Finite Element Analysis of Steady Fluid and Metal Flow , in R. H. Gallagher , J. T. Oden , C. Taylor , and O. C. Zienkiewicz (eds.), Finite Elements in Fluids , vol. 1 , pp. 73 – 94 , Wiley , New York , 1975 .
  • K. H. Huebner , The Finite Element Method for Engineers , Wiley , New York , 1975 .
  • P. Hood and C. Taylor , Navier-Stokes Equations Using Mixed Interpolation , in J. T. Oden , O. C. Zienkiewicz , R. H. Gallagher , and C. Taylor (eds.), Finite Element Methods in Flow Problems , pp. 121 – 132 , Univ. of Alabama Press , Huntsville , Ala. , 1974 .
  • M. D. Olson and S. Y. Tuann , Primitive Variables Versus Stream Function Finite Element Solutions of the Navier-Stokes Equations , presented at the Second International Symposium on Finite Element Methods in Flow Problems , Santa Margherita Ligure , Italy , June 1976 .
  • P. Hood , A Finite Element Solution of the Navier-Stokes Equations for Incompressible Contained Flow , M.Sc. thesis , Univ. of Wales , Swansea , 1970 .
  • G. E. Schneider , G. D. Raithby , and M. M. Yovanovich , Finite Element Analysis of Incompressible Fluid Flow Incorporating Equal Order Pressure and Velocity Interpolation , presented at the International Conference on Numerical Methods in Laminar and Turbulent Flow , Swansea , Wales , July 18–21 , 1978 .
  • F. H. Harlow and J. E. Welch , Numerical Calculation of Time Dependent Viscous Incompressible Flow of Fluid with Free Surface , Phys. Fluids , vol. 8 , no. 12 , p. 2182 – 2189 , 1965 .
  • R. B. Bird , W. E. Stewart , and E. N. Lightfoot , Transport Phenomena , Wiley , New York , 1960 .
  • O. C. Zienkiewicz , The Finite Element Method in Engineering Science , McGraw- Hill , New York , 1971 .
  • G. E. Schneider , Finite Element Analysis of Incompressible Fluid Flow Incorporating Equal Order Pressure and Velocity Interpolation , Ph.D. thesis , Univ. of Waterloo , Ontario , Canada , 1977 .
  • J. T. Oden and L. C. Wellford , Jr. , Analysis of Flow of Viscous Fluids by the Finite Element Method , AIAA J. , vol. 10 , no. 12 , pp. 1590 – 1599 , 1972 .
  • S. Y. Tuann and M. D. Olson , A Study of Various Finite Element Solution Methods for the Navier-Stokes Equations , Struct. Res. Ser. Rept. 14 , Dept. of Civil Engineering, Univ. of British Columbia , Vancouver , May 1976 .
  • A. J. Chorin , A Numerical Method for Solving Incompressible Viscous Flow Problems , J. Comput. Phys. , vol. 2 , pp. 12 – 16 , 1967 .
  • E. R. G. Eckert and R. M. Drake , Jr. , Analysis of Heat and Mass Transfer , McGraw-Hill , New York , 1972 .
  • A. J. Chorin , Numerical Solution of the Navier-Stokes Equations , Math. Comput. , vol. 22 , pp. 745 – 762 , 1968 .
  • A. A. Amsden and F. H. Harlow , The SMAC Method A Numerical Technique for Calculating Incompressible Fluid Flows, research report, Los Alamos Scientific Laboratory of the University of California , Los Alamos , N.M. , 1970.
  • S. V. Patankar , Numerical Prediction of Three-Dimensional Flows , in B. E. Launder (ed.), Studies in Convection , pp. 1 – 78 , Academic Press , New York , 1975 .
  • O. R. Burggraf , Analytical and Numerical Studies of the Structure of Steady Separated Flows , J. Fluid Meek. , vol. 24 , pt. 1 , pp. 113 – 151 , 1966 .
  • D. K. Gartling , Finite Element Analysis of Viscous, Incompressible Fluid Flow , Ph.D. thesis , Univ. of Texas , Austin , 1975 .

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.