High-accuracy large-step explicit Runge-Kutta (HALE-RK) schemes for computational aeroacoustics

Journal of Computational Physics

Volumn 228, Issue 10, 2009, Pages 3837-3850

  Allampalli, Vasanth ^a   Hixon, Ray ^a   Nallasamy, M ^b   Sawyer, Scott D ^c  

^a UNIVERSITY OF TOLEDO   (United States)

^b KENNEDY SPACE CENTER   (United States)

^c The University of Akron   (United States)

Author keywords

2N storage Runge Kutta scheme; Computational aeroacoustics; Explicit methods; High stability; Inviscid stability limit; Numerical error; Numerical wave number analysis; Optimized Runge Kutta method; Time marching schemes; Wave propagation

Indexed keywords

COMPUTATIONAL AEROACOUSTICS; COMPUTATIONAL FLUID DYNAMICS; NUMERICAL METHODS; STABILITY; WAVE PROPAGATION;

2N-STORAGE RUNGE-KUTTUM SCHEME; EXPLICIT METHOD; HIGH STABILITY; INVISCID STABILITY LIMIT; NUMERICAL ERRORS; NUMERICAL WAVE NUMBER ANALYSE; OPTIMIZED RUNGE-KUTTUM METHOD; RUNGE-KUTTA SCHEMES; STABILITY LIMIT; TIME MARCHING SCHEMES; WAVENUMBER ANALYSIS;

RUNGE KUTTA METHODS;

EID: 62849095275     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.02.015     Document Type: Article

References (22)

1. Tam C.K.W. Computational aeroacoustics: issues and methods. AIAA J. 33 10 (1995) 1788-1796
2. S.K. Lele, Computational Aeroacoustics: A Review, AIAA Paper 97-0018, Reno, NV, 1997.
3. Lele S.K. Compact finite-difference schemes with spectral-like resolution. J. Comput. Phys. 103 (1992) 16-42
4. Tam C.K.W., and Webb J.C. Dispersion-relation-preserving finite-difference schemes for computational acoustics. J. Comput. Phys. 107 (1993) 262-281
5. Kim J.W., and Lee D.J. Optimized compact finite-difference schemes with maximum resolution. AIAA J. 34 (1996) 887-893
6. Williamson J.H. Low storage Runge-Kutta schemes. J. Comput. Phys. 35 (1980) 48-56
7. Visbal M.R., and Gaitonde D.V. Very high order spatially implicit schemes for computational acoustics on curvilinear meshes. J. Comput. Acoust. 9 (2001) 1259-1286
8. Hu F.Q., Hussaini M.Y., and Manthey J. Low dissipation and dispersion Runge-Kutta schemes for computational acoustics. J. Comput. Phys. 124 (1996) 177-191
9. Stanescu D., and Habashi W.G. 2N-storage low dissipation and dispersion Runge-Kutta schemes for computational acoustics. J. Comput. Phys. 143 (1998) 674-681
10. Calvo M., Franco J.M., and Randez L. A new minimum storage Runge-Kutta scheme for computational acoustics. J. Comput. Phys. 201 (2004) 1-12
11. J.C. Hardin, J.R. Ristorcelli, C.K.W. Tam (Eds.), ICASE/LaRC Workshop on Benchmark Problems in Computational Aeroacoustics (CAA), NASA CP-3300, Hampton, VA, 1994.
12. C.K.W. Tam, J.C. Hardin (Eds.), Second Computational Aeroacoustics (CAA) Workshop on Benchmark Problems, NASA CP-3352, Hampton, VA, 1996.
13. M. Dahl (Ed.), Third Computational Aeroacoustics (CAA) Workshop on Benchmark Problems, NASA CP-2000-209790, Cleveland, OH, 2000.
14. M. Dahl, (Ed.), Fourth Computational Aeroacoustics (CAA) Workshop on Benchmark Problems, NASA CP-2004-212954, Cleveland, OH, 2004.
15. Shen H., and Tam C.K.W. Three dimensional numerical simulation of the jet screech phenomenon. AIAA J. 40 (2002) 33-41
16. D. Rizzetta, M. Visbal, Numerical Simulation of Separation Control for a Transitional Highly-Loaded Low-Pressure Turbine, AIAA Paper 2004-2204, Portland, OR, June 2004.
17. A. Jameson, Time Dependent Calculations Using Multigrid, with Applications to Unsteady Flows Past Airfoils and Wings, AIAA Paper 91-1596, Honolulu, HI, June 1991.
18. Kennedy C.A., and Carpenter M.H. Several new numerical methods for compressible shear-layer simulations. Appl. Numer. Simulat. 14 (1994) 397-433
19. Hixon R., Nallasamy M., Sawyer S., and Dyson R. Comparison of numerical schemes for a realistic computational aeroacoustics benchmark problem. Int. J. Aeroacoust. 3 (2004) 379-398
20. J.R. Scott, Single airfoil gust response problem, in: Proceedings of the Fourth CAA Workshop on Benchmark Problems, NASA CP-2004-212954, October 2003, pp. 45-58.
21. Hixon R., Golubev V., Mankbadi R.R., Scott J.R., Sawyer S., and Nallasamy M. Application of a nonlinear computational aeroacoustics code to the gust-airfoil problem. AIAA J. 44 (2006) 323-328
22. Butcher J.C. The Numerical Analysis of Ordinary Differential Equations (1987), Wiley, New York