Preconditioned methods for simulations of low speed compressible flows

Computers and Fluids

Volumn 38, Issue 7, 2009, Pages 1411-1423

  Housman, Jeffrey ^a   Kiris, Cetin ^b   Hafez, Mohamed ^a  

^a University of California   (United States)

^b NASA AMES RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID INTERFACES; INCOMPRESSIBLE LIMITS; INVISCID COMPRESSIBLE FLOWS; INVISCID FLOWS; LOW SPEED; LOW-SPEED FLOWS; MULTICOMPONENT FLOWS; NONPHYSICAL SOLUTIONS; NUMERICAL SIMULATIONS; PRECONDITIONED METHODS; SINGLE COMPONENTS; SOLUTION METHODS; SYSTEM OF EQUATIONS;

COMPRESSIBLE FLOW; INCOMPRESSIBLE FLOW; MULTIPHASE FLOW;

FLOW SIMULATION;

EID: 65049085656     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2008.01.034     Document Type: Article

References (34)

1. Abgrall R. How to prevent pressure oscillations in multicomponent flows. J Comput Phys 125 (1996) 150
2. Abgrall R., and Karni S. Computations of compressible multifluids. J Comput Phys 169 (2001) 594-623
3. Beccantini A, Pailliere H. Vessel pressurization. In: Numerical workshop problem from mathematical and numerical aspects of low mach number flows conference; 2004.
4. Briley W.R., McDonald H., and Shamroth S.J. A low Mach number Euler formulation and application to time-iterative LBI schemes. AIAA J 21 24 (1983) 1467-1469
5. Chakravarthy SR, Anderson DA, Salas MD. The split-coefficient matrix method for hyperbolic systems of gas dynamics. In: 18th AIAA aerospace sciences meeting, AIAA-80-0268; January 1980.
6. Choi Y.H., and Merkle C.L. The application of preconditioning to viscous flows. J Comput Phys 105 (1993) 207-223
7. Chorin A.J. A numerical method for solving incompressible viscous flow problems. J Comput Phys 2 (1967) 12
8. Guerra J., and Gustafsson B. A numerical method for incompressible and compressible flow problems with smooth solutions. J Comput Phys 63 (1986) 377
9. Hafez M. On the incompressible limit of compressible fluid flow. In: Hafez M.M., Morinishi K., Periaux J., and Satofuka N. (Eds). Computational fluid dynamics for the 21st century (2001), Springer
10. Hafez M, Soliman M. Numerical solution of the incompressible Navier-Stokes equations in primitive variables on unstaggered grids. In: Gunzburge MD, Nicolaides RA, editors. Incompressible computational fluid dynamics, Cambridge; 1993.
11. Housman J. Time-derivative preconditioning method for multicomponent flow. PhD thesis, University of California Davis; 2007.
12. Housman J, Kiris C, Hafez M. Time-derivative preconditioning method for multicomponent flow. J Appl Mech, 2008, in press.
13. Jenny P., Muller B., and Thomann H. Correction of conservative Euler solvers for gas mixtures. J Comput Phys 132 (1997) 91-107
14. Karni S. Multicomponent flow calculations by a consistent primitive algorithm. J Comput Phys 112 (1994) 31-43
15. Karni S. Hybrid multifluid algorithms. SIAM J Sci Comput 17 5 (1996) 1019-1039
16. Kiris C., Kwak D., Chan W., and Housman J. High fidelity simulations for unsteady flow through turbopumps and flowliners. Comput Fluids (2007)
17. Klainerman S., and Majda A. Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Commun Pure Appl Math 34 (1981) 481-524
18. Klainerman S., and Majda A. Compressible and incompressible fluids. Commun Pure Appl Math 35 (1982) 629-653
19. Lax P.D., and Wendroff B. Systems of conservation laws. Commun Pure Appl Math 13 (1960) 217-237
20. Lerat A., and Sides J. Efficient solution of the steady euler equations with a centered implicit method. In: Morton K.W., and Baines M.J. (Eds). Numerical methods for fluid dynamics vol. 3 (1988), Clarendon, Oxford 65
21. Lombard CK, Bardina J, Vankatapathy E, Oliger J. Multi-dimensional formulation of CSCM - an upwind flux difference eigenvector split method for the compressible Navier-Stokes equations. In: Sixth AIAA computational fluid dynamics conference, AIAA-83-1895; July 1983.
22. Merkle CL, Athavale M. Time-accurate unsteady incompressible flow algorithms based on artificial compressibility. In: AIAA paper 87-1137; 1987.
23. Merkle C.L., and Choi Y.H. Computation of low speed compressible flows with time-marching methods. Int J Numer Methods Eng 25 (1985) 292-311
24. Moretti G. The lambda-scheme. Comput Fluids 7 3 (1979) 191-205
25. Pandya SA, Venkateswaran S, Pulliam TH. Implementation of preconditioned dual-time procedures in OVERFLOW. In: 41st aerospace sciences meeting & exhibit, AIAA-2003-0072; January 2003.
26. Rapposelli E, Cervone A, Bramanti C, d'Agostino L. Thermal cavitation experiments on a Naca0015 hydrofoil. In: Proceedings of FEDSM'03 fourth ASME/JSME joint fluids engineering conference; July 2003.
27. Rehm R.G., and Baum H.R. The equations of motion for thermally driven buoyant flows. J Res Natl Bureau Standards 83 (1978) 297-308
28. Rizzi A, Viviand H, editors. Numerical methods for the computation of inviscid transonic flows with shock waves, Notes on numerical fluid mechanics, vol. 3. Vieweg; 1981.
29. Roe P.L. Approximate Riemann solvers, parameter vectors, and difference schemes. J Comput Phys 43 2 (1981) 357-372
30. Rogers SE, Kwak D, Kiris C. Numerical solution of the incompressible Navier-Stokes equations for steady-state and time-dependent problems. In: 27th AIAA aerospace sciences meeting. AIAA-89-0463; January 1989.
31. Salvetti M-V, Beux F. Liquid flow around non-cavitating and cavitating NACA0015 hydrofoil. In: Numerical workshop problem from mathematical and numerical aspects of low mach number flows conference; 2004.
32. Turkel E. Preconditioning methods for solving incompressible and low-speed compressible equations. J Comput Phys 72 (1987) 277-298
33. van Leer B, Lee WT, Roe PL. Characteristic time-stepping or local preconditioning of the Euler equations. In: AIAA Computational fluid dynamics conference, AIAA-91-1552-CP; 1991.
34. Viviand H. Pseudo-unsteady systems for steady inviscid calculations, numerical methods for the euler equations of fluid dynamics. SIAM J Numer Anal (1985) 334