A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence

Journal of Computational Physics

Volumn 220, Issue 1, 2006, Pages 270-289

  Martin M P ^a   Taylor, E M ^a   Wu, M ^a   Weirs, V G ^b  

^a Princeton University   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

Bandwidth optimization; Compressible flow; Direct numerical simulation; Shock capturing; Turbulence

Indexed keywords

BANDWIDTH; BOUNDARY LAYERS; NUMERICAL METHODS; NUMERICAL MODELS; TURBULENCE; TURBULENT FLOW;

BANDWIDTH OPTIMIZATION; COMPRESSIBLE TURBULENCE; DIRECT-NUMERICAL-SIMULATION; FLOW PROBLEMS; NUMERICAL SOLUTION; ORDER OF ACCURACY; SHOCK-CAPTURING; SYMMETRICS; WENO METHOD; WENO SCHEMES;

DIRECT NUMERICAL SIMULATION;

EID: 33750971434     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.05.009     Document Type: Article

References (35)

1. M.P. Martín, Shock capturing in LES of high-speed flows, Annual Research Briefs of the Center for Turbulence Research, Stanford University, 2000, pp. 193-198.
2. Samtaney R., Pullin D.I., and Kosovic B. Direct numerical simulation of decaying compressible turbulence and shocklet statistics. Physics of Fluids 13 (2001) 1415-1430
3. M. Wu, P. Bookey, M.P. Martin, A.J. Smits, Analysis of shockwave/turbulent boundary layer interaction using DNS and experimental data, AIAA Paper No. 2005-0310, 2005.
4. M. Wu, E.M. Taylor, M.P. Martin, Assessment of STBLI DNS data and comparison against experiments, AIAA Paper No. 2005-4895, 2005.
5. Liu X.-D., Osher S., and Chan T. Weighted essentially non-oscillatory schemes. Journal of Computational Physics 115 (1994) 200-212
6. Shu C.-W., and Osher S. Efficient implementation of essentially non-oscillatory shock capturing schemes. Journal of Computational Physics 77 (1988) 439-471
7. Shu C.-W., and Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes, ii. Journal of Computational Physics 83 (1989) 32-78
8. Jiang G.-S., and Shu C.-W. Efficient implementation of weighted ENO schemes. Journal of Computational Physics 126 1 (1996) 202-228
9. Adams N.A., and Shariff K. A high-resolution hybrid compact ENO scheme for shock-turbulence interaction problems. Journal of Computational Physics 127 (1996) 27
10. Pirozzoli S. Conservative hybrid compact-weno schemes for shock-turbulence interaction. Journal of Computational Physics 178 (2002) 81-117
11. Ren Y.-X., Liu M., and Zhang H. A characteristic-wise compact-WENO scheme for solving hyperbolic conservation laws. Journal of Computational Physics 192 (2003) 365-386
12. Hill D.J., and Pullin D.I. Hybrid tuned center-difference-WENO method for large-eddy simulation in the presence of strong shocks. Journal of Computational Physics 194 (2004) 435-450
13. Kim D., and Kwon J.H. A high-order accurate hybrid scheme using a central flux scheme and a WENO scheme for compressible flowfield analysis. Journal of Computational Physics 215 2 (2006) 417-429
14. Wang Z.J., and Chen R.F. Optimized weighted essentially nonoscillatory schemes for linear waves with discontinuity. Journal of Computational Physics 174 (2001) 381-404
15. Lele S.K. Compact finite-difference schemes with spectral-like resolution. Journal of Computational Physics 103 1 (1992) 16-42
16. V.G. Weirs, A numerical method for the direct simulation of compressible turbulence. PhD Thesis, University of Minnesota (also AIAA Paper 1997-1940 with corrections), December, 1998.
17. Tam C.K.W., and Webb J.C. Dispersion-relation-preserving finite difference schemes for computational acoustics. Journal of Computational Physics 107 (1993) 262-281
18. Lockhard D.P., Brentner K.S., and Atkins H.L. High-accuracy algorithms for computational aeroacoustics. AIAA Journal 32 2 (1995) 246-251
19. Wolfram S. The Mathematica Book. fifth ed. (2003), Wolfram Media
20. Lee S., Lele S.K., and Moin P. Eddy-shocklets in decaying compressible turbulence. Physics of Fluids 3 (1991) 657
21. Martín M.P., and Candler G.V. Effect of chemical reactions on decaying isotropic turbulence. Physics of Fluids 10 (1998) 1715
22. Martín M.P., Piomelli U., and Candler G.V. Subgrid-scale models for compressible large-eddy simulations. Theoretical and Computational Fluid Dynamics 13 (2000) 361-376
23. E.M. Taylor, M.P. Martin, Stencil adaptation properties of a WENO scheme in direct numerical simulations of compressible turbulence, Journal of Scientific Computing, accepted for publication. Also in AIAA Paper No. 2004-2706, 2004.
24. J.F. Debiéve, H. Gouin, J. Gaviglio, Momentum and temperature fluxes in a shock wave-turbulence interaction, in: Proceedings ICHMT/IUTAM Symposium on the Structure of Turbulence and Heat and Mass Transfer, Dubrovnik, 1981.
25. J.F. Debiéve, Etude d'une interaction turbulence onde de choc, PhD Thesis, Thèse Université d'Aix Marseille II, Marseille, France, 1983.
26. Fernholz H.H., Finley P.J., Dussauge J.P., and Smits A.J. A survey of measurements and measuring techniques in rapidly distorted compressible turbulent boundary layers. AGARDograph (1989) 315
27. Eléna M., Lacharme J.P., and Gaviglio J. Comparison of hot-wire and laser Doppler anemometry methods in supersonic turbulent boundary layers (1985), ASME
28. Eléna M., and Lacharme J.P. Experimental study of a supersonic turbulent boundary layer using a laser Doppler anemometer. Journal Mécanique Théorique et Appliquée 7 (1988) 175
29. M.P. Martín, DNS of hypersonic turbulent boundary layers. Part I: Initialization and comparison with experiments, Journal of Fluid Mechanics, accepted for publication.
30. Xu S., and Martín M.P. Assessment of inflow boundary conditions for compressible turbulent boundary layers. Physics of Fluids 16 7 (2004) Also AIAA Paper No. 2003-3963, June, 2003
31. Majda A., and Osher S. Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations. Communications on Pure and Applied Mathematics 30 6 (1977) 671-705
32. Casper J., and Carpenter M.H. Computational considerations for the simulation of shock-induced sound. SIAM Journal of Scientific Computing 19 (1998) 813-828
33. Greenough J.A., and Rider W.J. A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order weno piecewise-linear godunov. Journal of Computational Physics 196 (2004) 259-281
34. Engquist B., and Sjögreen B. The convergence rate of finite difference schemes in the presence of shocks. SIAM Journal of Numerical Analysis 35 (1998) 2464-2485
35. Carpenter M.H., and Casper J.H. Accuracy of shock capturing in two spatial dimensions. AIAA Journal 37 (1999) 1072-1079