Evaluation of some high-order shock capturing schemes for direct numerical simulation of unsteady two-dimensional free flows

International Journal for Numerical Methods in Fluids

Volumn 33, Issue 2, 2000, Pages 249-278

  Tenaud, C ^a,c   Garnier, E ^b   Sagaut, P ^b  

^a Université Paris Saclay   (France)

^b ONERA   (France)

^c CNRS   (France)

Author keywords

Acoustic wave propagation; CFD; DNS; High order shock capturing scheme; Vorticity production

Indexed keywords

ACOUSTIC WAVE PROPAGATION; COMPUTER SIMULATION; SHOCK WAVES; TRANSONIC FLOW;

DIRECT NUMERICAL SIMULATION (DNS); ESSENTIALLY NON-OSCILLATORY (ENO); HIGH-ORDER SHOCK-CAPTURING SCHEME; TOTAL VARIATION DIMINISHING (TVD) SCHEME;

COMPUTATIONAL FLUID DYNAMICS;

ACOUSTICS; ENTROPY; FREE SURFACE FLOW; MATHEMATICAL MODELING; TWO-DIMENSIONAL FLOW; UNSTEADY FLOW; VORTICITY;

EID: 0034081516     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(20000530)33:2<249::AID-FLD17>3.0.CO;2-Z     Document Type: Article

References (19)

1. Moin P, Mahesh K. Direct numerical simulation: a tool in turbulence research. Annual Review in Fluid Mechanics 1998; 30: 539-578.
2. Lee S, Lele SK, Moin P. Direct numerical simulation of isotropic turbulence interacting with a weak shock wave. Journal of Fluid Mechanics 1993; 251: 533-562.
3. Kovasznay LSG. Turbulence in supersonic flow. Journal of Aerospace Science 1953; 20(10): 657-682.
4. Ribner HS. Cylindrical sound wave generated by shock-vortex interaction. AIAA Journal 1985; 23(11): 1708-1715.
5. Shu CW, Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. Journal of Computational Physics 1988; 77: 439-471.
6. Roe PL. Approximate Riemann solvers, parameter vectors and difference schemes. Journal of Computational Physics 1981; 43: 357-372.
7. Harten A. High resolution schemes for hyperbolic conservation laws. Journal of Computational Physics 1996; 49: 357-393.
8. Yee HC, Harten A. Implicit TVD schemes for hyperbolic conservation laws in curvelinear coordinate. AIAA Journal 1987; 25(2): 266-274.
9. Picone JM, Boris JP. Vorticity generation by shock propagation through bubbles in a gas. Journal of Fluid Mechanics 1988; 189: 23-51.
10. Yee HC. Numerical experiments with s symmetric high resolution shock-capturing scheme. NASA TM-88325, 1986.
11. Yee HC. Explicit and implicit compact high resolution shock-capturing methods for multidimensional Euler equations I: formulation. NASA TM-110364, 1995.
12. Yee HC. On the implementation of a class of upwind schemes for system of hyperbolic conservation laws, NASA TM-86839, 1985.
13. Shu CW, Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes II. Journal of Computational Physics 1989; 83: 32-78.
14. Shu CW. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. NASA/CR-97-206253 and ICASE Report 97-65, 1995.
15. Shu CW. Numerical experiments on the accuracy of ENO and modified ENO schemes. Journal of Scientific Computing 1990; 5(2): 127.
16. Jiang GS, Shu CH. Efficient implementation of weighted ENO schemes. Journal of Computational Physics 1996; 126: 202-228.
17. Sagaut P, Troff B, Garnier E, Klahr D, Comte P. Poursuite du dévelopment du code PEGASE en simulation en compressible. Rapport Technique de Synthèse ONERA RTS 20/4368 DSNA/Y, 1998.
18. Picone JM, Oran ES, Boris JP, Young TR. Theory of vorticity generation by shock wave and flame interactions. In Dynamics of Shock Waves - Explosions and Detonations, 94, Progress in Astronautics and Aeronautics, Boven, Manson, Oppenheim, Soloukhin (eds), 1983.
19. Peraaud-Thomas B. Méthodes d'Ordre Elevé Appliquées au Calcul d'Ecoulements de Fluides Compressibles. Thèse de Doctorat de l'Université Paris VI, 1988.