Implicit method for incompressible flow calculations in three-dimensional ducts and cascades

AIAA Journal

Volumn 35, Issue 10, 1997, Pages 1581-1588

  Politis, E S ^a   Giannakoglou, K C ^a   Papailiou, K D ^a,b  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; CASCADES (FLUID MECHANICS); DUCTS; LAMINAR FLOW; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; THREE DIMENSIONAL;

APPROXIMATE FACTORIZATION; COLLOCATED GRID METHOD; INCOMPRESSIBLE FLOW;

TURBULENT FLOW;

EID: 0031259085     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.16     Document Type: Article

References (15)

1. Lakshminarayana, B., "An Assessment of Computational Fluid Dynamic Techniques in the Analysis and Design of Turbomachinery - The 1990 Freeman Scholar Lecture," Journal of Fluids Engineering, Vol. 113, Sept. 1991, pp. 315-352.
2. Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere, New York, 1978, pp. 118-120.
3. Rhie, C. M., and Chow, W. L., "Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation," AIAA Journal, Vol. 21, No. 11, 1983, pp. 1525-1532.
4. Majumdar, S., "Role of Underrelaxation in Momentum Interpolation for Calculation of Flow with Nonstaggered Grids," Numerical Heat Transfer, Vol. 13, 1988, pp. 125-132.
5. Leonard, B. P., "A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation," Computer Methods in Applied Mechanics and Engineering, Vol. 19, 1979, pp. 59-98.
6. Stone, H. L., "Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations," SIAM Journal on Numerical Analysis, Vol. 5, No. 3, 1968, pp. 530-558.
7. Zedan, M., and Schneider, G. E., "A Three-Dimensional Modified Strongly Implicit Procedure for Heat Conduction," AIAA Journal, Vol. 21, No. 2, 1983, pp. 295-303.
8. Jones, W. P., and Launder, B. E., "The Prediction of Laminarization with a Two-Equation Model of Turbulence," International Journal of Heat and Mass Transfer, Vol. 15, 1972, pp. 301-314.
9. Lien, F.-S., and Leschziner, M. A., "A Pressure-Velocity Solution Strategy for Compressible Flow and its Application to Shock/Boundary-Layer Interaction Using Second-Moment Turbulence Closure," Journal of Fluids Enginnering, Vol. 115, Dec. 1993, pp. 717-725.
10. Giannakoglou, K. C., and Politis, E. S., "A Segregated Implicit Solution Algorithm for 2-D and 3-D Laminar Incompressible Flows," International Journal for Numerical Methods in Fluids, Vol. 21, No. 11, 1995, pp. 1067-1086.
11. Humphrey, J. A. C., Taylor, A. M. K., and Whitelaw, G. H., "Laminar Flow in a Square Duct of Strong Curvature," Journal of Fluid Mechanics, Vol. 83, Pt. 3, 1977, pp. 509-527.
12. White, F. M., Viscous Fluid Flow, McGraw-Hill, New York, 1974, pp. 119-125.
13. Flot, R., "Contribution a l' Etude des Ecoulements Secondaires dans les Compresseurs Axiaux," Ph.D. Thesis, Univ. Claude-Bernard, Lyon, France, April 1975.
14. Pouagare, M., and Delaney, R. A., "Study of Three-Dimensional Viscous Flows in an Axial Compressor Cascade Including Tip Leakage Effects Using a SIMPLE-Based Algorithm," International Gas Turbine Conf. and Exhibit (Dusseldorf, Germany), American Society of Mechanical Engineers, June 1996 (ASME Paper 86-GT-84).
15. Sorenson, R. L., "A Computer Program to Generate Two-Dimensional Grids About Airfoils and Other Shapes by the Use of the Poisson's Equation," NASA TM-81198, 1980.