Time-accurate unsteady incompressible flow algorithms based on artificial compressibility

8th Computational Fluid Dynamics Conference, 1987

Volumn , Issue , 1987, Pages 397-407

  Merkle, Charles L ^a   Athavale, Mahesh ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBILITY; COMPUTATIONAL FLUID DYNAMICS; FLUID DYNAMICS; ONE DIMENSIONAL; STEAM TURBINES; TURBULENT FLOW;

APPROXIMATE FACTORIZATION; ARTIFICIAL COMPRESSIBILITY; BLADE PASSAGE; DUAL TIME STEPPING; IMPLICIT ALGORITHM; IMPLICIT SCHEMES; PHYSICAL TIME; TIME DEPENDENT;

INCOMPRESSIBLE FLOW;

EID: 84997787453     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (17)

1. Harlow, F. H. and Welch, J. E., “Numerical Calculation of Time-Dependent Viscous Incompressible Flow with Free Surface”, Physics of Fluids, Vol. 8, Dec. 1965, pp. 2182-2189.
2. Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Co., New York, 1980.
3. Raithby, G. D. and Schneider, G. E., “Numerical Solution of Problems in Incompressible Fluid Flow: Treatment of the Velocity-Pressure Coupling”, Numerical Heat Transfer, Vol. 2, 1979, pp. 417-440.
4. Dennis, S. C. R., Ingham, D. B., and Cook, R. N., J. Comp. Physics, 33 (1979), p. 325.
5. Fasel, H. F., “Numerical Solution of the Complete Navier-Stokes Equations for the Simulation of Unsteady Flows”, Lecture Notes in Mathematics, No. 771, Springer-Verlag, Berlin, 1980.
6. Chorin, A. J., “A Numerical Method for Solving Incompressible Viscous Flow Problems”, Journal of Computational Physics, Vol. 2, 1967, pp. 12-26.
7. Kwak, D., Chang, J. L. C., Shanks, S. P., and Chakravarthy, S. R., “A Three-Dimensional Incompressible Navier-Stokes Flow Solver Using Primitive Variables”, AIAA Journal, Vol. 24, No. 3, March 1986, pp. 390-396.
8. Choi, D. and Merkle, C. L., “Application of Time-Iterative Schemes to Incompressible Flow”, AIAA Journal, Vol. 23, No. 10, October 1985, pp. 1518-1524.
9. Merkle, C. L. and Tsai, Y.-L. Peter, “Application of Runge-Kutta Schemes to Incompressible Flows”, AIAA Paper 86-0553, AIAA 24th Aerospace Sciences Meeting, Jan. 6-8, 1986, Reno, NV.
10. Turkel, E., “Algorithms for the Euler and Navier-Stokes Equations for Supercomputers”, ICASE Report No. 85-11, NASA Contractor Report 172543, February 1985.
11. Coakley, T. J., “Implicit Upwind Methods for the Compressible Navier-Stokes Equations”, AIAA Journal, Vol. 23, No. 3, March 1985, pp. 374-380.
12. Lombard, C K., Oliger, J., Yang, J. Y., and Davy, W. C., “Conservative Supra-Characteristics Methods for Splitting the Hyperbolic Systems of Gasdynamics with Computed Boundaries for Real and Perfect Gases”, AIAA Paper 82-0837, AIAA 3rd Joint Thermophysics Conference, June 7-11, 1982, St. Louis, MO.
13. Bardina, J. and Lombard, C. K., “Three-Dimensional CSCM Method for the Compressible Navier-Stokes Equations with Application to a Multi-Nozzle Exhaust Flowfield”, AIAA 85-1193, AIAA 21st Joint Propulsion Conference, July 8-10, 1985, Monterey, CA.
14. Chakravarthy, S. R., “Relaxation Methods for Unfactored Implicit Upwind Schemes”, AIAA 84-0165, AIAA 22nd Aerospace Sciences Meeting, January 9-12, 1984, Reno, NV.
15. MacCormack, R. W., “Current Status of Numerical Solutions of the Navier-Stokes Equations”, AIAA 85-0032, AIAA 23rd Aerospace Sciences Meeting, January 14-17, 1985, Reno, NV.
16. Eisenstadt, S. C., Gursky, M. C., Schultz, M. H., and Sherman, A. H., “Yale Sparse Matrix Package:II. The Nonsymmetric Codes”, Research Report No. 114, Dept. of Computer Sciences, Yale University, 1977.
17. Gustafsson, B., “Asymptotic Expansions for Hyperbolic Problems with Different Time-Scales”, SIAM, J. Numer. Anal., Vol. 17, No. 5, pp. 623-634, 1980.