A sparse-mode spectral method for the simulation of turbulent flows

Journal of Computational Physics

Volumn 123, Issue 1, 1996, Pages 32-44

  Meneguzzi, M ^a   Politano, H ^b   Pouquet, A ^b   Zolver, M ^b  

^a CERCA   (Canada)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FAST FOURIER TRANSFORMS; FOURIER SERIES;

FOURIER MODES; MHD FLOW; ONE-DIMENSIONAL BURGERS EQUATION; SPECTRAL METHODS; TWO-DIMENSIONAL;

TURBULENT FLOW;

EID: 0029690493     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0003     Document Type: Article

References (27)

1. 1. P. Constantin, C. Foias, and R. Temam, J. Fluid Mech. 150, 314 (1985).
2. 2. A. Yoshizawa, Phys. Fluids 28, 3313 (1985).
3. 3. G. Erlebacher, M. Hussaini, C. Speziale, and T. Zang, J. Fluid Mech. 238, 155 (1992).
4. 4. T. Passot and A. Pouquet, J. Comput. Phys. 75, 300 (1988).
5. 5. T. Passot, H. Politano, A. Pouquet, and P. L. Sulem, Theor. Comput. Fluid Dyn. 1, 47 (1990).
6. 6. V. N. Denianski and E. A. Novikov, Izv. Atmos. Oceanic Phys. 10, 127 (1974); Prikl. Mat. Mech. 38, 507 (1974).
7. 6. V. N. Denianski and E. A. Novikov, Izv. Atmos. Oceanic Phys. 10, 127 (1974); Prikl. Mat. Mech. 38, 507 (1974).
8. 7. E. Vazquez-Semadeni and J. Scalo, Phys. Rev. Lett. 68, 2921 (1992).
9. 8. S. Grossman & D. Lohse, Phys. Rev. Lett. 67, 445 (1991).
10. 9. E. N. Lorenz, Lecture Notes in Phys., Vol. 12 (Springer-Verlag, New York/Berlin, 1971), p. 195.
11. 10. D. Gottlieb and S. A. Orszag, Numerical Analysis of Spectral Methods Theory and Applications (SIAM, Philadelphia, 1977).
12. 11. G. Eyink, Phys. D 78, 222 (1994).
13. 12. P. S. Iroshnikov, Sov. Astron. 7, 56 (1963).
14. 13. R. H. Kraichnan, Phys. Fluids 8, 995 (1965).
15. 14. S. A. Orszag & C. M. Tang, J. Fluid Mech. 90, 129 (1979).
16. 15. H. Politano, A. Pouquet, and P. L. Sulem, Phys. Fluids B 1, 2230 (1989).
17. 16. H. Politano, A. Pouquet, and P. L. Sulem, Cargèse Workshop on MHD flows, July 1988, edited by M. Meneguzzi, A. Pouquet, and P. L. Sulem (North-Holland, Amsterdam, 1989).
18. 17. H. Politano, P. L. Sulem, and A. Pouquet, Topological Fluid Mechanics, edited by H. K. Moffatt and A. Tsinober (Cambridge Univ. Press Cambridge, 1990).
19. 18. D. Biskamp, H. Welter, and M. Walter, Phys. Fluids B 2, 3024 (1990).
20. 19. W. H. Matthaeus and D. Montgomery, Ann. N.Y. Acad Sci. 357, 203 (1980).
21. 20. G. Einaudi, C. Chiuderi, and F. Califano, Adv. Space Res. 13, 85 (1993).
22. 21. A. Pouquet, in Magnetohydrodynamic Turbulence, Les Houches Session XLVII, edited by J. P. Zahn and J. Zinn-Justin (Elsevier, Amsterdam, 1993), p. 139.
23. 22. R. Grappin, Phys. Fluids 29, 2433 (1986).
24. 23. X. Jimenez, J. Fluid Mech. 279, 169 (1994).
25. 24. S. Lele, J. Comput. Phys. 103, 16 (1992).
26. 25. A. Vincent and M. Meneguzzi, J. Fluid Mech. 225, 1 (1991).
27. 26. Z. S. She, S. Chen, G. Doolen, R. H. Kraichnan, and S. A. Orszag, Phys. Rev. Lett. 70, 3521 (1993).