Numerical simulation of the viscous shock tube problem by using a high resolution monotonicity-preserving scheme

Computers and Fluids

Volumn 38, Issue 3, 2009, Pages 664-676

  Daru, Virginie ^a,b   Tenaud, Christian ^a  

^a UFR 919 Laboratoire d'Informatique Pour la Mécanique et les Sciences de l'Ingénieur   (France)

^b DYNFLUID LABORATORY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; COMPUTER SIMULATION; FLOW INTERACTIONS; FLUID DYNAMICS; MATHEMATICAL MODELS; REYNOLDS NUMBER; SHOCK TUBES; SHOCK WAVES; TUBES (COMPONENTS);

COMPLEX FLOWS; END WALLS; FLOW CALCULATIONS; FLOW DYNAMICS; HIGH ORDERS; HIGH RESOLUTIONS; INTERACTION MECHANISMS; MONOTONICITY; NUMERICAL SCHEMES; NUMERICAL SIMULATIONS; REFLECTED SHOCK WAVES; VISCOUS FLUIDS;

FLOW SIMULATION;

EID: 57649228414     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2008.06.008     Document Type: Article

References (21)

1. Burtschell Y., Cardoso M., and Zeitoun D. Numerical analysis of reducing driver gas contamination in impulse shock tunnels. AIAA J 39 12 (2001) 2357-2365
2. Daru V., and Gloerfelt X. Aeroacoustic computations using a high-order shock-capturing scheme. AIAA J 45 (2007) 2474-2486
3. Daru V., and Tenaud C. Evaluation of TVD high resolution schemes for unsteady viscous shocked flows. Comput Fluids 30 (2001) 89-113
4. Daru V., and Tenaud C. High-resolution monotonicity preserving schemes for unsteady compressible flows. In: Armfield K.S.E.S., and Morgan P. (Eds). Proceedings of the ICCFD'2 conference, July 2002, Sydney, Australia (2002), Springer, Berlin
5. Daru V., and Tenaud C. High order one-step monotonicity preserving schemes for unsteady flow calculations. J Comput Phys 193 (2004) 563-594
6. Daru V, Tenaud C. Numerical simulation of the shock wave/boundary layer interaction in a shock tube by using a high-resolution monotonicity-preserving scheme. In: Proceedings of the ICCFD'3 conference, July 2004, Toronto, Canada; 2004.
7. Davies L, Wilson J. Influence of reflected shock and boundary-layer interaction on shock-tube flows. In: Proceedings of the shock tube symposium, the physics of fluids supplement I; 1969.
8. Goozée R., Jacobs P., and Buttswortth D. Simulation of a complete reflected shock tunnel showing a vortex mechanism for flow contamination. Shock Waves 15 3-4 (2006) 165-176
9. Jiang G.-S., and Shu C.-W. Efficient implementation of weighted ENO schemes. J Comput Phys 126 (1996) 202-228
10. Kim K., and Kim C. Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows. Part I. Spatial discretization. J Comput Phys 208 2 (2005) 527-569
11. Kim K., and Kim C. Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows. Part II. Multi-dimensional limiting process. J Comput Phys 208 2 (2005) 570-615
12. Lax D., and Wendroff B. Systems of conservation laws. Commun Pure Appl Math 13 (1960) 217-237
13. Mark H. The interaction of a reflected shock wave with the boundary layer in a shock tube. Technical memorandum 1318, NASA; 1958.
14. Matsuo K., Kawagoe S., and Kage K. The interaction of a reflected shock wave with the boundary layer in a shock tube. Bull ASME 17 110 (1974) 1039-1046
15. Roe P.L. Approximate Riemann solvers, parameter vectors, and difference schemes. J Comput Phys 43 (1981) 357-372
16. Shu C.W., and Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. J Comput Phys 77 (1988) 439-471
17. Shu C.W., and Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes, II. J Comput Phys 83 (1989) 32-78
18. Shu C.W., Zang T.A., Erlebacher G., Whitaker D., and Osher S. High order ENO schemes applied to two and three dimensional compressible flows. Appl Numer Math Trans IMACS 9 (1992) 45-71
19. Sjogreen B., and Yee H.C. Grid convergence of high order methods for multiscale complex unsteady viscous compressible flows. J Comput Phys 185 (2003) 1-26
20. Suresh A., and Huynh H.T. Accurate monotonicity-preserving schemes with Runge-Kutta time stepping. J Comput Phys 136 (1997) 83-99
21. Weber Y.S., Oran E.S., Boris J.P., and Anderson J.D. The numerical simulation of shock bifurcation near the end wall of a shock tube. Phys Fluids 7 10 (1995) 2475-2488