General pressure-correction strategy to include density variation in incompressible algorithms

Journal of Thermophysics and Heat Transfer

Volumn 17, Issue 3, 2003, Pages 372-380

  Darbandi, Masoud ^a   Hosseinizadeh, Seyed Farid ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; INCOMPRESSIBLE FLOW; NOZZLES; REYNOLDS NUMBER;

DENSITY VARIATION;

COMPUTATIONAL FLUID DYNAMICS;

ALGORITHM; COMPRESSIBLE FLOW; EQUATION; PERFORMANCE ASSESSMENT; PRESSURE;

EID: 0041765801     PISSN: 08878722     EISSN: 15336808     Source Type: Journal    
DOI: 10.2514/2.6778     Document Type: Article

References (30)

1. Soh, W., and Goodrich, J., "Unsteady Solution of Incompressible Navier-Stokes Equations," Journal of Computational Physics, Vol. 79, No. 1, 1988, pp. 113-134.
2. Mary, I., Sagaut, P., and Deville, M., "Algorithm for Low Mach Number Unsteady Flows," Computers and Fluids, Vol. 29, No. 2, 2000, pp. 119-147.
3. Patankar, S. V., Numerical Heat Transfer and Fluid Flow, 2nd ed., Hemisphere, New York, 1996, Chaps. 5, 6.
4. Van Doormaal, J. P., Raithby, G. D., and McDonald, B. H., "The Segregated Approach to Predicting Viscous Compressible Fluid Flows," Journal of Turbomachinery, Vol. 109, No. 2, 1987, pp. 268-277.
5. Karki, K. C., and Patankar, S.V., "Pressure Based Calculation Procedure for Viscous Flows at All Speeds in Arbitrary Configurations," AIAA Journal, Vol. 27, No. 9, 1989, pp. 1167-1173.
6. Shyy, W., Chen, M. H., and Sun, C. S., "Pressure-Based Multigrid Algorithm for Flow at All Speeds," AIAA Journal, Vol. 30, No. 11, 1992, pp. 2660-2669.
7. Marchi, C. H., and Maliska, C. R., "A Non-Orthogonal Finite-Volume Method for the Solution of All Speed Flows Using Co-located Variables," Numerical Heat Transfers, Vol. 26, No. 3, 1994, pp. 293-311.
8. Demirdzic, I., Lilek, Z., and Peric, M., "A Collocated Finite Volume Method for Predicting Flows at All Speeds," International Journal for Numerical Methods in Fluids, Vol. 16, No. 12, 1993, pp. 1029-1050.
9. Greyvenstein, G. P., and Meyer, J. P., "Differencing of Density in Compressible Flow for a Pressure-Based Approach," AIAA Journal, Vol. 32, No. 3, 1993, pp. 659-661.
10. Lien, F. S., and Leschziner, M. A., "A General Non-orthogonal Collocated Finite Volume Algorithm for Turbulent Flow at All Speeds Incorporating Second-Momentum Turbulence-Transport Closure, Part 1: Computational Implementation," Computer Methods in Applied Mechanics and Engineering, Vol. 114, 1994, pp. 123-148.
11. Kobayashi, M. H., and Pereira, J. C. F., "Characteristic-Based Pressure Correction at All Speeds," AIM Journal, Vol. 34, No. 2, 1996, pp. 272-280.
12. Harten, A., Engquist, B., Osher, S., and Chakravarthy, S. R., "Uniformly High Order Accurate Essentially Non-Oscillatory Schemes, III," Journal of Computational Physics, Vol. 71, No. 2, 1987, pp. 231-303.
13. Issa, R. I., and Javareshkian, M. H., "Pressure-Based Compressible Calculation Method Utilizing Total Variation Diminishing Schemes," AIAA Journal, Vol. 36, No. 9, 1998, pp. 1652-1657.
14. Date, A. W., "Solution of Navier-Stokes Equations on Nonstaggered Grid at All Speeds," Numerical Heat Transfer, Part B, Vol. 33, 1998, pp. 451-467.
15. Moukalled, F., and Darwish, M., "A High-Resolution Pressure-Based Algorithm for Fluid Flow at All Speeds," Journal of Computational Physics, Vol. 168, No. 1, 2001, pp. 101-133.
16. Darbandi, M., and Schneider, G. E., "Analogy-Based Method for Solving Compressible and Incompressible Flows," Journal of Thermophysics and Heat Transfer, Vol. 12, No. 2, 1998, pp. 239-247; also AIAA Paper 97-0706, Jan. 1997.
17. Darbandi, M., and Schneider, G. E., "Analogy-Based Method for Solving Compressible and Incompressible Flows," Journal of Thermophysics and Heat Transfer, Vol. 12, No. 2, 1998, pp. 239-247; also AIAA Paper 97-0706, Jan. 1997.
18. Darbandi, M., Schneider, G. E., and Hosseinizadeh, S. F., "Solving Compressible Flow Using SIMPLE Incompressible Procedure," AIAA Paper 2001-2967, June 2001.
19. Versteeg, H. K., and Malalasekera, W., An Introduction to Computational Fluid Dynamics; The Finite Volume Method, Addison Wesley Longman, Reading, MA, 1995, Chap. 6.
20. Ghia, U., Ghia, K. N., and Shin, C. T., "High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method," Journal of Computational Physics, Vol. 48, No. 3, 1982, pp. 387-411.
21. Pletcher, R. H., and Chen, K. H., "On Solving the Compressible Navier-Stokes Equations for Unsteady Flows at Very Low Mach Numbers," Proceedings of the 11th Computational Fluid Dynamics Conference, AIAA, Washington, DC, 1993, pp. 765-775.
22. Volpe, G., "Performance of Compressible Flow Codes at Low Mach Numbers "AIAA Journal, Vol. 31, No. 1, 1993, pp. 49-56.
23. Ajmani, K., Ng, W. F., and Liou, M. S., "Preconditioned Conjugate-Gradient Methods for Low-Speed Flow Calculations," AIAA Paper 93-0881, Jan. 1993.
24. Gartling, D. K., "A Test Problem for Outflow Boundary Conditions-Flow over a Backward-Facing Step, International Journal for Numerical Methods in Fluids, Vol. 11, No. 7, 1990, pp. 953-967.
25. Pepper, D. W., Burton, K. L., Brueckner, F. P., and Blackwell, B. F., "Numerical Simulation of Laminar Flow with Heat Transfer over a Backward Facing Step," Benchmark Problems for Heat Transfer Codes, edited by B. Blackwell and D. W. Pepper, HTD-Vol. 222, American Society of Mechanical Engineers, New York, 1992, pp. 21-26.
26. Morihara, H., and Cheng, R. T., "Numerical Solution of Viscous Flow in the Entrance Region of Parallel Plates," Journal of Computational Physics, Vol. 11, No. 4, 1973, pp. 550-572.
27. Darbandi, M., and Schneider, G. E., "A Benchmark Study for Developing Channel Inlet Flow," AIAA Paper 98-0874, Jan. 1998.
28. Carvalho, T. M. B., Cotta, R. M., and Mikhailov, M. D., "Flow Development in Entrance Region of Ducts," Communications in Numerical Methods in Engineering, Vol. 9, No. 6, 1993, pp. 503-509.
29. Chen, K. H., and Pletcher, R. H., "Primitive Variable, Strongly Implicit Calculation Procedure for Viscous Flows at All Speeds," AIAA Journal, Vol. 29, No. 8, 1991, pp. 1241-1249.
30. Schwartz, L. W., "A Perturbation Solution for Compressible Viscous Channel Flows," Journal of Engineering Mathematics, Vol. 21, 1987, pp. 69-86.