Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 33, 1998 - Issue 4
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Original Articles

SOLUTION OF NAVIER-STOKES EQUATIONS ON NONSTAGGERED GRID AT ALL SPEEDS

Pages 451-467 | Received 24 Jul 1997, Accepted 21 Nov 1997, Published online: 27 Mar 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 , 1971 .
  • K. C. Karki and S. V. Patankar , Pressure Based Calculation Procedure for Viscous Flows at All speeds in Arbitrary Configurations , AIAA J ., vol. 27 , no. 9 , pp. 1167 – 1174 , 1989 .
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , New York , 1980 .
  • R. M. Beam and R. F. Warming , An Implicit Factored Scheme for Compressible Navier-Stokes Equations , AIAA J ., vol. 16 , pp. 87 – 110 , 1978 .
  • R. W. MacCormack , A Numerical Method for Solving the Equations of Viscous Compressible Flows , AIAA J ., vol. 20 , pp. 1275 – 1281 , 1981 .
  • A. W. Date , Complete Pressure Correction Algorithm for Solution of Incompressible Navier-Stokes Equations on a Nonstaggered Grid , Numer. Heat Transfer B , vol. 29 , pp. 441 – 458 , 1996 .
  • C. M. Rhie and W. L. Chow , A Numerical Study of the Turbulent Flow past an Isolated Airfoil with Trailing Edge Separation , AIAA J ., vol. 21 , pp. 1525 – 1532 , 1983 .
  • C. Hah , A Navier-Stokes Analysis of Three Dimensional Turbulent Flows inside Turbine Blade Rows at Design and Off-Design Conditions , ASME J. Eng. Gas Turbines Power , vol. 106 , pp. 421 – 429 , 1984 .
  • V. Michelassi , E. L. Papanicolaou , and G. S. Theodoridis , A Comparison of Time Marching and Pressure-Correction Algorithms for Transonic Turbine Blades, Comput. Fluid Dynam . in Aeropropulsion , AD-vol. 49 , pp. 115 – 126 , 1995 .
  • I. Demirdizic , Z. Lilek , and M. Peric , A Collocated Finite-Volume Method for Predicting Flows at All Speeds , Int. J. Numer. Meth. Fluids , vol. 16 , pp. 1029 – 1050 , 1993 .
  • C. H. Lin and C. A. Lin , Simple High-Order Bounded Convection Scheme to Model Discontinuities , AIAA J ., vol. 35 , no. 3 , pp. 563 – 565 , 1997 .
  • B. P. Leonard , Simple High-Accuracy Resolution Program for Convective Modelling of Discontinuities , Int. J. Numer. Meth. Fluids , vol. 81 , pp. 1291 – 1381 , 1988 .
  • J. Zhu , A Low Diffusive and Oscillation-Free Convection Scheme , Commun. Appl. Numer. Meth ., vol. 7 , pp. 225 – 232 , 1991 .
  • D. B. Spalding , A Novel Finite-Difference Formulation for Differential Expressions Involving Both First and Second Derivatives , Int. J. Numer. Meth. Eng. , vol. 4 , pp. 557 – 559 , 1972 .
  • P. K. Sweby , High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws , SIAMJ. Numer. Anal. , vol. 21 , no. 5 , pp. 995 – 1011 , 1984 .
  • H. C. Yee , R. F. Warming , and A. Harten , Implicit Total Variation Diminishing (TVD) Schemes for Steady State Calculations , J. Comput. Phys. , vol. 57 , pp. 327 – 360 , 1985 .
  • P. G. Huang and T. J. Coakley , An Implicit Navier-Stokes Code for Turbulent Flow Modeling , AIAA Paper 92-0547 , 1992 .
  • R. H. Ni , A Multiple-Grid Scheme for Solving the Euler Equations , AIAA J. , vol. 20 , no. 11 , pp. 1565 – 1571 , 1982 .
  • S. Eidelman , P. Colella , and R. P. Shreeve , Application of Godunov Method and Its Second-Order Extension to Cascade Flow Modeling , AIAA J. , vol. 22 , no. 11 , pp. 1609 – 1615 , 1984 .
  • A. Jameson , W. Schmidt , and E. Turkel , Numerical Solution of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time Stepping Schemes , AIAA Paper 81-1259 , 1981 .

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