A finite volume formulation of compact central schemes on arbitrary structured grids

Journal of Computational Physics

Volumn 198, Issue 2, 2004, Pages 535-566

  Lacor, Chris ^a   Smirnov, Sergey ^a   Baelmans, Martine ^b  

^a VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

^b UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

2-D MODEL; CELL FACES; CENTRAL SCHEME; COMPACT SCHEMES; FINITE-VOLUME; FINITE-VOLUME FORMULATION; FLAT PLATE; NUMERICAL EXPERIMENTS; STRUCTURED GRID; SUBSONICS;

COMPUTATIONAL METHODS;

EID: 3242888718     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.01.025     Document Type: Article

References (30)

1. Lele S.K. Compact finite difference schemes with spectral-like resolution J. Comput. Phys. 103 1992 16-42
2. Kim J.W. Lee D.J. Optimized compact finite difference schemes with maximum resolution AIAA J. 34 5 1996
3. Gamet L. Ducros F. Nicoud F. Poinsot T. Compact finite difference schemes on non-uniform meshes. Application to direct numerical simulations of compressible flows Int. J. Numer. Methods Fluids 29 1999 159-191
4. B.J. Boersma, S.K. Lele, Large eddy simulation of a mach 0.9 turbulent jet, AIAA paper 99-1874, 1999
5. Meinke M. Schröder W. Krause E. Rister Th. A comparison of second- and sixth-order methods for large-eddy simulation Comput. Fluids 31 2001 695-718
6. Koutsavdis E.K. Blaisdell G.A. Lyrintzis A.S. Compact schemes with spatial filtering in computational aeroacoustics AIAA J. 38 2000 713
7. Povitsky A. Morris P.J. A higher-order compact method in space and time based on parallel implementation of the Thomas algorithm y flow J. Comput. Phys. 161 2000 182-203
8. Collatz L. The Numerical Treatment of Differential Equations 1966 Springer
9. L. Collatz, Hermitian methods for initial-value problems in partial differential equations, in: Proceedings of the Royal Irish Academy Conference on Numerical Analysis, Topics in Numerical Analysis
10. R.M. Visbal, V.D. Gaitonde, Higher-order-accurate methods for complex unsteady subsonic flows, in: AIAA paper 98-0131, 36th Aerospace Science Meeting, Reno, NV, 1998
11. Gaitonde D. Visbal M. Pade-type higher-order boundary filters for the Navier-Stokes equations AIAA J. 38 2000 2103
12. Visbal R.M. Gaitonde V.D. On the use of higher-order finite-difference schemes on curvilinear and deforming meshes J. Comput. Phys. 181 2002 155-185
13. X. Deng, M. Mao, High-order dissipative weighted compact nonlinear schemes for Euler and Navier-Stokes equations, AIAA Paper 2001-2626, 2001
14. Ravichandran K.S. Higher oder KFVS algorithms using compact upwind difference operators J. Comput. Phys. 130 1997 161-173
15. Goedheer W.J. Potters J.H.H.M. A compact finite difference scheme on a non-equidistant mesh J. Comput. Phys. 61 1985 269-279
16. Gaitonde D. Shang J.S. Optimized compact-difference-based finite-volume schemes for linear wave phenomena J. Comput. Phys. 138 1997 617-643
17. Kobayashi M.H. On a class of padé finite volume methods J. Comput. Phys. 156 1999 137-180
18. C. Lacor, S. Smirnov, M. Baelmans, A finite volume formulation for compact schemes on arbitrary meshes with applications to LES, in: N. Satofuka (Ed.), CFD 2000, 1st International Conference on CFD, Kyoto, 11-14/7/2000, Springer, pp. 479-484
19. M.J. Pereira, M.H. Kobayashi, C.J. Pereira, High order compact schemes in finite volume context, in: B. Suarez, E. Onate, G. Bugeda, (Eds.), ECCOMAS 2000, Barcelona, CIMNE, 2000
20. Pereira J.M.C. Kobayashi M.H. Pereira J.C.F. A fourth-order-accurate finite volume compact method for the incompressible Navier-Stokes solutions J. Comput. Phys. 167 2001 217-243
21. S. Smirnov, C. Lacor, M. Baelmans, A finite volume formulation for compact schemes with applications to LES, in: AIAA paper 2001-2546, AIAA 15th CFD Conference, 2001
22. Vichnevetsky R. Math. Comput. Simul. 21 1979 170
23. Adams N.A. Shariff K. A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems J. Comput. Phys. 127 1996 27-51
24. Zienkiewicz O.C. Taylor R.L. fourth ed. The Finite Element Method vol. 1 1988 McGraw-Hill New York
25. A. Jameson, W. Schmidt, E. Turkel, Numerical solutions of the Euler equations by finite volume methods with Runge-Kutta time stepping schemes, AIAA Paper 81-1259, January 1981
26. C.K.W. Tam, Computational aeroacoustics: issues and methods, in: AIAA paper 95-0677, AIAA 33rd Aerospace Sciences Meeting and Exhibit, 1995
27. T. Broeckhoven, S. Smirnov, Jan Ramboer, C. Lacor, Finite volume formulation of compact upwind and central schemes with artificial selective damping, in: CD-ROM Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics, Boston, 17-20/6/2003, also: accepted for publication in special issue of SIAM J. Sci. Comput.
28. Smagorinsky J. General circulation experiments with the primitive equations Mon. Weather Rev. 91 1963 99-164
29. Y. Morinishi, Conservative properties of finite difference schemes for incompressible flow, Center for Turbulence Research, Annual Research Briefs, 1995
30. Kim J. Moin P. Moser R. Turbulence statistics in fully developed channel flow at low reynolds number J. Fluid Mech. 177 1987