Development of optimized weighted-ENO schemes for multiscale compressible flows

International Journal for Numerical Methods in Fluids

Volumn 42, Issue 9, 2003, Pages 953-977

  Ponziani, D ^a   Pirozzoli, S ^a   Grasso, F ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Aeroacoustics; Compressible turbulence; Optimized high order schemes; Weighted ENO schemes

Indexed keywords

ACOUSTIC WAVE PROPAGATION; LEAST SQUARES APPROXIMATIONS; OPTIMIZATION; SHOCK WAVES; TURBULENCE;

AEROACOUSTIC PHENOMENA;

COMPRESSIBLE FLOW;

COMPRESSIBILITY; MATHEMATICAL ANALYSIS; MODELING; OSCILLATION; TURBULENT FLOW;

EID: 0042121289     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.564     Document Type: Article

References (27)

1. Tam CKW, Webb JC. Dispersion-relation-preserving finite difference schemes for computational acoustics. Journal of Computational Physics 1993; 107:262-281.
2. Lockard DP, Brentner KS, Atkins HL. High-accuracy algorithms for computational aeroacoustic. AIAA Journal 1995: 33(2):246-251.
3. Weirs WG, Candler GV. Optimization of weighted ENO schemes for DNS of compressible turbulence. AIAA paper 1997; 97:1940.
4. Wang ZJ, Chen RF. Optimized weighted essentially non-oscillatory schemes for computational aeroacoustic. AIAA paper 2001; 1101.
5. Osher S, Chakravarthy S. Upwind schemes and boundary conditions with applications to Euler equations in general coordinates. Journal of Computational Physics 1983; 50:447.
6. Liu XD, Osher S, Chan T. Weighted essentially non-oscillatory schemes. Journal of Computational Physics 1994; 115:200.
7. Jiang GS, Shu CW. Efficient implementation of weighted ENO schemes. Journal of Computational Physics 1996; 126:202.
8. Shu C-W. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. In Advanced Numerical Approximation of Non-linear Hyperbolic Equations, Cockburn B, Johnson C, Shu C-W, Tadmor E, Quarteroni A (eds). Lecture Notes in Mathematics, vol. 1697. Springer: Berlin. 1998; 425-432.
9. Balsara D, Shu C-W. Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Journal of Computational Physics 2000; 160:405.
10. Casper J, Carpenter MH. Computational Considerations for the Simulation of Shock-induced Sound, NASA TM 110222, 1995.
11. Lele SK. Compact finite difference schemes with spectral-like resolution. Journal of Computational Physics 1992; 103:16.
12. Grasso F, Pirozzoli S. Asymptotic scaling of a decaying turbulent compressible vortex. Physics of Fluids 1999; 11:1636.
13. Spyropoulos ET, Blaisdell GA. Evaluation of the dynamic model for simulations of compressible decaying isotropic turbulence. AIAA Journal 1996: 34:5.
14. Sarkar S, Erlebacher G, Hussaini MY, Kreiss HO. The analysis and modelling of dilatational terms in compressible turbulence. ICASE Report 1989; 89-79.
15. Lesieur M. Turbulence in Fluids. Kluwer Academic: Dordrecht, 1990.
16. Batchelor GK. Townsend Proc. R. Soc London 1949; 199:238.
17. Vincent A, Meneguzzi M. The spatial structure and statistical properties of homogeneous turbulence. Journal of Fluid Mechanics 1991; 225:1.
18. Porter DH, Poquet A, Woodward PR. Kolmogorov-like spectra in decaying three-dimensional supersonic flows. Physics of Fluids 1994; 6(6):2133.
19. Garnier E, Mossi M, Sagaut P, Comte P, Deville M. On the use of shock-capturing schemes for large-eddy simulation. Journal of Computational Physics 1999; 153:273-311.
20. Erlebacher G, Hussaini MY, Kreiss HO, Sarkar S. The Analysis and Simulation of Compressible Turbulence. Theoretical Computational Fluid Dynamics 1990; 2:73-95.
21. Grasso F, Meola C. Euler and Navier Stokes equations for compressible flows: finite volume methods. In Handbook of Computational Fluid Mechanics, Peyret R (ed.). Academic Press: New York, 1996; 159.
22. Grasso F, Pirozzoli S. Shock Wave Vortex Interactions: Shock And Vortex Deformations, And Sound Production. Theoretical Computational Fluid Dynamics 2000; 13:421.
23. Grasso F, Pirozzoli S. Simulations and analysis of the coupling process of compressible vortex pairs: free evolution and shock induced coupling. Physics of Fluids 2001; 13:1343.
24. Poinsot TJ. Lele SK, Boundary conditions for direct simulations of compressible viscous reacting flows. Journal of Computational Physics 1992; 101:104.
25. Shu CW, Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. Journal of Computational Physics 1988; 77:439.
26. Thompson KW. Time-dependent boundary conditions for hyperbolic systems. Journal of Computational Physics 1987; 68:1-24.
27. Thompson KW. Time-dependent boundary conditions for hyperbolic systems, II. Journal of Computational Physics 1990; 89:439-461.