Incompact3d: A powerful tool to tackle turbulence problems with up to O(105) computational cores

International Journal for Numerical Methods in Fluids

Volumn 67, Issue 11, 2011, Pages 1735-1757

  Laizet, Sylvain ^a   Li, Ning ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b Numerical Algorithms Group   (United Kingdom)

Author keywords

Computational fluid dynamics; Direct numerical simulation; High performance computing

Indexed keywords

CLASSICAL PHYSICS; COMPLEX TURBULENT FLOWS; COMPUTATIONAL CORE; HIGH PERFORMANCE COMPUTING; NUMERICAL TOOLS; PARALLEL PLATFORMS; SPATIAL ACCURACY;

COMPUTATIONAL FLUID DYNAMICS; COMPUTER SOFTWARE SELECTION AND EVALUATION; DIRECT NUMERICAL SIMULATION; DYNAMICS; FLUIDS; INTERNET PROTOCOLS;

TURBULENCE;

EID: 81255172229     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2480     Document Type: Article

References (39)

1. Canuto C, Hussaini MY, Quarteroni A, Zang TA. Spectral Methods in Fluid Dynamics. Springer: New York, 1988.
2. Ishihara T, Gotoh T, Kaneda Y. Study of high Reynolds number isotropic turbulence by direct numerical simulation. Annual Review of Fluid Mechanics 2009; 41:165-180.
3. Deville MO, Fischer PF, Mund EH. High-order Methods for Incompressible Fluid Flow. Cambridge University Press: Cambridge, 2002.
4. Laizet S, Lamballais E, Vassilicos JC. A numerical strategy to combine high-order schemes, complex geometry and parallel computing for high resolution DNS of fractal generated turbulence. Computers and Fluids 2010; 39(3):471-484.
5. Laizet S, Lamballais E. High-order compact schemes for incompressible flows: a simple and efficient method with the quasi-spectral accuracy. Journal of Computational Physics 2009; 228(16):5989-6015.
6. Avital EJ, Sandham ND, Luo KH. Stretched Cartesian grids for solution of the incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids 2000; 33:897-918.
7. Cain AB, Ferziger JH, Reynolds WC. Discrete orthogonal function expansions for non-uniform grids using the fast Fourier transform. Journal of Computational Physics 1984; 56:272-286.
8. Kim J, Moin P. Application of a fractional-step method to incompressible Navier-Stokes equations. Journal of Computational Physics 1985; 59:308-323.
9. Swarztrauber PN. The methods of cyclic reduction, Fourier analysis and the FACR algorithm for the discrete solution of Poisson's equation on a rectangle. SIAM Review 1977; 19:490-501.
10. Wilhelmson RB, Ericksen JH. Direct solutions for Poisson's equation in three dimensions. Journal of Computational Physics 1977; 25:319-331.
11. Chen L, Coleman SW, Vassilicos JC, Hu Z. Acceleration in turbulent channel flow. Journal of Turbulence 2010; 11(41):1-23.
12. Dallas V, Vassilicos JC, Hewitt GF. Strong polymer-turbulence interactions in viscoelastic turbulent channel flow. Physica Review E 2010; in press.
13. Laizet S, Vassilicos JC. Direct numerical simulation of turbulent flows generated by regular and fractal grids using an immersed boundary method. Proceedings of TSFP 6, Seoul, 2009.
14. Laizet S, Vassilicos JC. Multiscale generation of turbulence. Journal of Multiscale Modelling 2009; 1:177-192.
15. Lamballais E, Silvestrini J, Laizet S. Direct numerical simulation of a separation bubble on a rounded finite-width leading edge. International Journal of Heat and Fluid Flow 2008; 29:612-625.
16. Lamballais E, Silvestrini J, Laizet S. Direct numerical simulation of flow separation behind a rounded leading edge: study of curvature effects. International Journal of Heat and Fluid Flow 2010; DOI: 10.1016/j.ijheatfluidflow.2009.12.007.
17. Laurendeau E, Jordan P, Bonnet JP, Delville J, Parnaudeau P, Lamballais E. Subsonic jet noise reduction by fluidic control: the interaction region and the global effect. Physics of Fluids 2008; 20(10):101519.
18. Lele SK. Compact finite difference schemes with spectral-like resolution. Journal of Computational Physics 1992; 103:16-42.
19. Parnaudeau P, Carlier J, Heitz D, Lamballais E. Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3900. Physics of Fluids 2008; 20:085101.
20. Parnaudeau P, Lamballais E, Heitz D, Silvestrini JH. Combination of the immersed boundary method with compact schemes for DNS of flows in complex geometry. Proceedings of DLES-5, Munich, 2003.
21. FFTW official website. Available from:
22. Laizet S, Vassilicos JC. Direct numerical simulation of fractal-generated turbulence. Proceedings of DLES-7, Trieste, 2008.
23. Top500 official website. Available from:
24. 4) processors. Tera Grid Conference, 2008. Available from:
25. P3D FFT official website. Available from:
26. Mercier P, Deville M. A multidimensional compact high-order scheme for 3-D Poisson's equation. Journal of Computational Physics 1981; 39:443-455.
27. ACML official website. Available from:
28. Source code of Plimpton's FFT library. Available from:
29. Takahashi's FFTE Fast Fourier Transform package. Available from:
30. Li N, Laizet S. 2DECOMPFFT a highly scalable 2d decomposition library and FFT interface. Cray User Group 2010, Edinburgh, 2010.
31. Source code of Glassman's algorithm in Fortran. Available from:
32. FFTPACK Fortran package. Available from:
33. Intel MKL library official website. Available from:
34. IBM ESSL official website. Available from:
35. Official website for CrayPat. Available from:
36. Scalasca official website. Available from:
37. Hurst D, Vassilicos JC. Scalings and decay of fractal-generated turbulence. Physics of Fluids 2007; 19:035103.
38. Seoud RE, Vassilicos JC. Dissipation and decay of fractal-generated turbulence. Physics of Fluids 2007; 19:105108.
39. Mazellier N, Vassilicos JC. Turbulence without Richardson-Kolmogorov cascade. Physics of Fluids 2010; 22:075101.