33
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

NUMERICAL SOLUTION PROCEDURE FOR VISCOUS INCOMPRESSIBLE FLOWS

&
Pages 131-146 | Received 11 Feb 1986, Accepted 24 Mar 1986, Published online: 02 Mar 2007

REFERENCES

  • 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 , pp. 2182 – 2189 , 1965 .
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington , D.C. , 1980 .
  • J. F. Thompson , F. C. Thames , and C. W. Mastin , Automatic Numerical Generation of Body-Fitted Curvilinear Coordinate System for Fields Containing Any Number of Arbitrary Two-Dimensional Bodies , J. Comput. Phys. ., vol. 15 , p. 229 , 1984 .
  • P. R. Eisman and P. Stone , Conservation Laws of Fluids Dynamics—A Survey , SIAM Rev. , vol. 22 , pp. 12 – 27 , 1980 .
  • D. Schnack and J. Killeen , Nonlinear Two-Dimensional Magnetohydrodynamic Calculations , J. Comput. Phys. , vol. 35 , pp. 110 – 145 , 1980 .
  • R. Peyret and H. Viviand , Computation of Viscous Compressible Flow Based on the Navier-Stokes Equation , North Atlantic Treaty Organization , AGARD 212 , 1975 .
  • et al. , Introduction to Grid Generation Systems in Turbomachinery , VKI Lecture Series 2, Numerical Techniques for Viscous Calculations in Turbomachinery , Jan. 20–24 , 1986 .
  • A. Garon and R. Camarero , Generation des Maillages, Ecole Polytechnique de Montr´eal, EP/RT-84-11, 1984.
  • J. D. Hoffman , Relationship between the Truncation Errors of Centered Finite-Difference Approximations on Uniform and Nonuniform Meshes , J. Comput. Phys. , vol. 46 , pp. 469 – 474 , 1982 .
  • J. F. Thompson and C. W. Mastin , Order of Difference Expressions in Curvilinear Coordinate Systems , ASME J. Fluids Eng. , vol. 107 , pp. 241 – 250 , 1985 .
  • J. D. Denton , A Time Marching Method for Two and Three Dimensional Blade-to-Blade Flows , A. R. C., REM 3375 , 1975 .
  • D. F. Roscoe , The Numerical Solution of the Navier-Stokes Equations for Three-Dimensional Laminar Flow in Curved Pipes Using Finite Difference Methods , J. Eng. Math. , vol. 12 , pp. 303 – 323 , 1978 .
  • L. Fuchs and H.-S. Zhao , Solution of Three-Dimensional Viscous Incompressible Flow by a Multigrid Method , Int. J. Numer. Methods Fluids , vol. 4 , pp. 539 – 555 , 1984 .
  • G. D. Raithby and K. E. Torrance , Upstream-Weighted Differencing Schemes and Their Application to Elliptic Problems Involving Fluid Flow , Comput. Fluids , vol. 2 , pp. 191 – 206 , 1974 .
  • C. R. Maliska , A Solution Method for Three-Dimensional Parabolic Fluid Flow Problems in Nonorthogonal Coordinates , Ph.D. thesis , Univ. of Waterloo , Waterloo , Ontario , Canada , 1981 .
  • C. W. Hirt , B. D. Nichols , and N. C. Romero , SOLA—A Numerical Solution Algorithm for Transient Fluid Flows , Rept. LA-5852 , Los Alamos Scientific Laboratory , Los Alamos , N.M. , 1975 .
  • H. Schlichting , Boundary-Layer Theory, , 7 th ed., McGraw-Hill , New York , 1979 .
  • M. Lacroix , R. Camarero , and A. Tapucu , Etude Numérique d'écoulements Visqueux Bidimensionnels Bornés par des Géometries Complexes , Ecole Polytechnique de Montréal, EP84-R-18 , 1984 .
  • J. C. Dunavant and J. R. Erwin , Investigation of a Related Series of Turbine-Blade Profiles in a Cascade , NACA TR Note 3802 , 1956 .
  • L. S. Langston , M. L. Nice , and R. M. Hooper , Three-Dimensional Flow within a Turbine Cascade Passage , ASME J. Eng. Power , vol. 99 , no. 1 , pp. 21 – 28 , 1977 .
  • C. Hah , A Navier-Stokes Analysis of Three-Dimensional Turbulent Flows Inside Turbine Blade Rows at Design and Off-Design Conditions , ASME Paper 83-GT-40 , 1983 .
  • M. Agouzul and R. Camarero , Numerical Computation of Two-Dimensional Turbulent Flow in a Cascade , submitted to ASME J. Fluids Eng .

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.