Secondary flow computation using an inviscid multigrid finite volume lambda formulation

Journal of Propulsion and Power

Volumn 13, Issue 1, 1997, Pages 49-58

  Casalini, Francesco ^a   Dadone, Andrea ^a  

^a POLITECNICO DI BARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; CASCADES (FLUID MECHANICS); COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FINITE VOLUME METHOD; FLOW OF FLUIDS; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; THREE DIMENSIONAL; TURBOMACHINERY; VECTORS;

CARTESIAN COORDINATES; INTERNAL FLOW; INVISCID FLOW; LAMBDA FORMULATION; MULTIGRID FORMULATION; SECONDARY FLOW; TWO DIMENSIONAL;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0030814929     PISSN: 07484658     EISSN: 15333876     Source Type: Journal    
DOI: 10.2514/2.5149     Document Type: Article

References (22)

1. Stanitz, J. D., Osborn, W. M., and Mizisin, J., "An Experimental Investigation of Secondary Flow in an Accelerating, Rectangular El-bow with 90° of Turning," NACA TN 3015, Oct. 1953.
2. Moore, J., and Moore, J. G., "A Calculation Procedure for Three Dimensional Viscous Compressible Duct Flow," Journal of Fluids Engineering, Vol. 101, Pts. I, II, 1979, pp. 415-428.
3. Hamed, A., and Liu, C., "Three-Dimensional Rotational Compressible Flow Solution in Variable Area Channels," AIAA Paper 83-0259, Jan. 1983.
4. Knight, C. J., and Bozzola, R., "Inviscid 3D Flow Computation for a Stanitz Elbow," AIAA Paper 85-1330, July 1985.
5. Kuster, U., "Boundary Procedures for the Euler Equations," Notes on Numerical Fluid Mechanics, Proceedings of the 6th GAMM Conference on Numerical Methods in Fluids Mechanics, Vol. 13, 1986, pp. 209-216.
6. Kreatsoulas, J. C., Lee, D., and Ballantyne, A., "Experimental/ Computational Study of Viscous Flow in an Accelerating, 90 Degree, Rectangular Elbow," AIAA Paper 88-0186, Jan. 1986.
7. Fortunato, B., "Three Dimensional Rotational Compressible Flow Computations by Means of a Fast Euler Solver," AIAA Paper 91-2471, June 1991.
8. Casalini, F., and Dadone, A., "A Finite Volume Lambda Formulation," Journal of Propulsion and Power, Vol. 9, No. 4, 1993, pp. 597-604.
9. Casalini, F., and Dadone, A., "Inviscid Computation of Secondary Flows by Means of a Finite Volume Lambda Formulation," Proceedings of the 1992 Engineering Systems Design and Analysis Conference, Vol. 47-1, American Society of Mechanical Engineers, New York, 1992, pp. 1-9.
10. Brandt, A., "Guide to Multigrid Development," Lecture Notes in Mathematics, Vol. 960, Springer-Verlag, Berlin, 1982, pp. 220-312.
11. Ni, R. H., "A Multiple Grid Scheme for Euler Equations," AIAA Journal, Vol. 20, No. 11, 1982, pp. 1565-1571.
12. Jameson, A., "Numerical Solution of the Euler Equations for Compressible Inviscid Fluids," Princeton Univ., MAE Dept., Rept. 1643, Princeton, NJ, 1984.
13. Hall, M. G., "Cell-Vertex Multigrid Schemes for Solution of the Euler Equations," Numerical Methods for Fluid Dynamics, edited by K. W. Morton and M. Baines, Vol. II, Clarendon, Oxford, England, UK, 1985.
14. Walters, R. W., and Thomas, J. L., "Advances in Upwind Relaxation Methods," State-of-the-Art Survey on Computational Mechanics, edited by A. K. Noor, American Society of Mechanical Engineers, New York, 1988, Chap. 4.
15. Dadone, A., "A Conservative Lambda Formulation," Proceedings of the 3rd International Conference on Hyperbolic Problems, Vol. 1, Dept. of Scientific Computing and Student Literature, Uppsala Univ., Uppsala, Sweden, 1991, pp. 270-284.
16. Catalano, L. A., private communication, Politecnico di Bari, Italy, May 1993.
17. Stanitz, J. D., "Design of 2-D Channels with Prescribed Velocity Distributions Along the Channel Walls, I - Relaxation Solutions," NACA TN 2593, Jan. 1952.
18. Tai, C. H., "Acceleration Techniques for Explicit Euler Codes," Ph.D. Dissertation, Aerospace Engineering, Univ. of Michigan, Ann Arbor, MI, 1990.
19. Jameson, A., and Mavriplis, D., "Finite Volume Solution of the Two-Dimensional Euler Equations on a Regular Triangular Mesh," AIAA Journal, Vol. 24, No. 4, 1986, pp. 611-618.
20. Roe, P. L., "Characteristic-Based Schemes for the Euler Equations," Review of Fluid Mechanics, Vol. 18-1, 1986, pp. 337-365.
21. AGARD Propulsion and Energetics Panel, "Test Cases for Computation of Internal Flows in Aero Engine Components," edited by L. Fottner, AGARD AR 275, July 1990.
22. Liu, K, and Jameson A., "Multigrid Euler Calculations for Three-Dimensional Cascades," AIAA Paper 90-0688, Jan. 1990.