Strictly stable high order difference approximations for computational aeroacoustics

Comptes Rendus - Mecanique

Volumn 333, Issue 9, 2005, Pages 699-705

  Müller, Bernhard ^a   Johansson, Stefan ^a  

^a UPPSALA UNIVERSITY   (Sweden)

Author keywords

Acoustics; Aeroacoustics; Finite difference methods; High order

Indexed keywords

ACOUSTICS; FINITE DIFFERENCE TECHNIQUE;

EID: 27144536587     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2005.07.009     Document Type: Short Survey

References (17)

1. B. Gustafsson, H.-O. Kreiss, and J. Oliger Time Dependent Problems and Difference Methods 1995 John Wiley & Sons New York
2. B. Strand Summation by parts for finite difference approximations for d / d x J. Comput. Phys. 110 1994 47 67
3. B. Strand Simulations of acoustic wave phenomena using high-order finite difference approximations SIAM J. Sci. Comput. 20 1999 1585 1604
4. M. Gerritsen, and P. Olsson Designing an efficient solution strategy for fluid flows J. Comput. Phys. 129 1996 245 262
5. J. Nordström, and M.H. Carpenter Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations J. Comput. Phys. 148 1999 621 645
6. S. Johansson, High order finite difference operators with the summation by parts property based on DRP schemes, Technical Report 2004-036, Department of Information Technology, Uppsala University, 2004. URL: http://www.it.uu.se/research/reports/2004-036/
7. C.K.W. Tam, and J.C. Webb Dispersion-relation-preserving finite difference schemes for computational acoustics J. Comput. Phys. 107 1993 262 281
8. H.C. Yee, M. Vinokur, and M.J. Djomehri Entropy splitting and numerical dissipation J. Comput. Phys. 162 2000 33 81
9. B. Müller, and H.C. Yee High order numerical simulation of sound generation by the Kirchhoff vortex Computing and Visualization in Science 4 2002 197 204
10. B. Müller, High order difference method for low Mach number aeroacoustics, in: ECCOMAS Computational Fluid Dynamics Conference, Swansea, Wales, UK, 2001
11. B. Müller, and H.C. Yee Entropy splitting for high order numerical simulation of vortex sound at low Mach numbers J. Sci. Comput. 17 1-4 2002 181 190
12. B. Müller, S. Johansson, Strictly stable high order difference approximations for the Euler equations, in: Proceedings of 10th Int. Congress on Sound and Vibration, Stockholm, 2003, pp. 3883-3890
13. H.-O. Kreiss, and G. Scherer Finite element and finite difference methods for hyperbolic partial differential equations C. de Boor Mathematical Aspects of Finite Elements in Partial Differential Equations 1974 Academic Press New York 195 211
14. M.H. Carpenter, D. Gottlieb, and S. Abarbanel Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and application to high-order compact schemes J. Comput. Phys. 111 1994 220 236
15. J.C. Hardin, J.R. Ristorcelli, C.K.W. Tam (Eds.), ICASE/LaRC Workshop on Benchmark Problems in Computational Aeroacoustics (CAA), NASA Conference Publication 3300, 1995
16. J. Westerlund, High order simulation of rocket launch noise, Master's Thesis, Uppsala University, Sweden, 2002
17. B. Müller, and J. Westerlund High order numerical simulation of rocket launch noise G.C. Cohen E. Heikkola P. Joly P. Neittaanmäki Mathematical and Numerical Aspects of Wave Propagation 2003 Springer-Verlag Berlin 95 100