A residual-based compact scheme for the unsteady compressible Navier-Stokes equations

Computers and Fluids

Volumn 34, Issue 4-5 SPEC.ISS., 2005, Pages 561-580

  Corre, C ^a   Hanss, G ^a   Lerat, Alain ^a  

^a DYNFLUID LABORATORY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; ENERGY DISSIPATION; NAVIER STOKES EQUATIONS; ROBUSTNESS (CONTROL SYSTEMS); SHOCK WAVES; UNSTEADY FLOW;

COMPRESSIBLE MIXING; DUAL TIME STEPPING; UNSTEADY COMPRESSIBLE FLOW;

COMPRESSIBLE FLOW;

COMPRESSIBLE FLOW; NAVIER-STOKES EQUATIONS; UNSTEADY FLOW;

EID: 11144290604     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2003.08.003     Document Type: Article

References (23)

1. Hirsh R.S. High order accurate difference solutions of fluid mechanics problems by a compact differencing technique J. Comput. Phys. 19 1975 90-109
2. Peyret R. A Hermitian finite-difference method for the solution of the Navier-Stokes equations Proc. 1st Intern. Conf. on Numerical Methods in Laminar and Turbulent Flows 1978 45-54 Pentech Press
3. Abarbanel S. Kumar A. Compact high-order schemes for the Euler equations J. Sci. Comput. 3 1988 275-288
4. Lele S.K. Compact finite difference schemes with spectral-like resolution J. Comput. Phys. 103 1992 16-42
5. Cockburn B. Shu C.W. Nonlinearly stable compact schemes for shock calculations SIAM J. Numer. Anal. 31 1994 607-627
6. Tolstykh A.I. High accuracy non-centered compact difference schemes for fluid dynamics applications 1994 World Scientific Singapore
7. Lerat A. Rezgui A. Schémas dissipatifs précis à l'ordre trois pour les systèmes hyperboliques C.R. Acad. Sci. Paris 323 II b 1996 397-403
8. Fu D. Ma Y. A high order accurate difference scheme for complex flow fields J. Comput. Phys. 134 1997 1-15
9. Yee H.C. Explicit and implicit multidimensional compact high-accurate resolution shock-capturing methods: Formulation J. Comput. Phys. 131 1997 216-232
10. Visbal M.R. Gaitonde D.V. High-order-accurate methods for complex unsteady subsonic flows AIAA J. 37 1999 1231-1239
11. Abgrall R. Mezine M. A compact residual scheme for unsteady compressible flow problems. In: Armfield S. Morgan P. Srinivas (Eds.). Computational Fluid Dynamics 2002 2003 165-170 Springer Berlin
12. Lerat A. Corre C. Residual-based compact schemes for multidimensional hyperbolic system of conservation laws Comput. Fluids 31 2002 639-661
13. Lerat A. Corre C. A residual-based compact scheme for the compressible Navier-Stokes equations J. Comput. Phys. 170 2001 642-675
14. Yee H.C. Vinokur M. Djomehri M.J. Entropy splitting and numerical dissipation J. Comput. Phys. 162 2000 33-81
15. Peyret R. Taylor T. Computational methods for fluid flows 1983 Springer New York
16. Jameson A. Time-dependent calculations using multigrid with applications to unsteady flows past airfoils and wings AIAA Paper 1991 91-1596
17. Lerat A. Sidès J. Efficient solution of the steady Euler equations with a centered implicit method. In: Morton K.W. Baines M.J. (Eds.). Numerical methods for fluid dynamics vol. 3 1988 65-86 Clarendon Press Oxford
18. Lerat A. Multidimensional centred schemes of the Lax-Wendroff type. In: Hafez M. Oshima K. (Eds.). CFD Review 1995 1995 124-140 John Wiley
19. Corre C. Khalfallah K. Lerat A. Line-relaxation methods for a class of centred schemes Comput. Fluid Dynam. J. 5 1996 213-246
20. Rezgui A. Cinnella P. Lerat A. Third-order accurate finite volume schemes for Euler computations on curvilinear meshes Comput. Fluids 30 2001 875-901
21. Lumpp T. Compressible mixing layer computations with high-order ENO schemes. In: 15th Intl Conf on Num Meth in Fluid Dynamics, Monterey, USA, June 1996. Lecture Notes in Physics 1997;490:99-104
22. Lerat A. Corre C. Hanss G. Efficient high-order schemes on non-uniform meshes for multi-D compressible flows. In: Caughey D.A. Hafez M. (Eds.). Frontiers of computational fluid dynamics-2002 2002 89 World Scientific Singapore
23. Hanss G, Corre C, Lerat A. High-order schemes on irregular structured meshes for multi-dimensional compressible flows. In: ECCOMAS CFD 2001, Swansea, UK, CD Rom Proceed, 2001