Accuracy study of the IDO scheme by Fourier analysis

Journal of Computational Physics

Volumn 217, Issue 2, 2006, Pages 453-472

  Imai, Yohsuke ^a   Aoki, Takayuki ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Computational fluid dynamics; Fourier analysis; High resolution; IDO scheme; Numerical accuracy; Numerical stability

Indexed keywords

ADVECTION; DIFFUSION IN LIQUIDS; FINITE DIFFERENCE METHOD; FLOW OF FLUIDS; FOURIER ANALYSIS; FOURIER TRANSFORMS; MATHEMATICAL OPERATORS; POISSON EQUATION;

ACCURACY STUDY; COMPACT DIFFERENCE SCHEME; FOURIER'S ANALYSIS; GOVERNING EQUATIONS; HIGH RESOLUTION; INTERPOLATED DIFFERENTIAL OPERATOR SCHEME; INTERPOLATED DIFFERENTIAL OPERATORS; NUMERICAL ACCURACY; PHYSICAL VARIABLES; WAVE NUMBERS;

COMPUTATIONAL FLUID DYNAMICS;

EID: 33748438585     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.01.015     Document Type: Article

References (21)

1. Gottlieb D., and Orszag A. Numerical Analysis of Spectral Methods (1977), SIAM, Philadelphia, PA
2. Kim J., Moin P., and Moser R. Turbulence statistics in fully developed turbulent channel flow at low Reynolds number. J. Fluid Mech. 177 (1987) 133
3. Spalart P. Direct numerical simulation of a turbulent boundary layer up to Re θ = 1410. J. Fluid Mech. 187 (1988) 61
4. Lele S.K. Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103 (1992) 16
5. Yabe T., and Aoki T. A universal solver for hyperbolic equations by cubic-polynomial interpolation I. One-dimensional solver. Comput. Phys. Commun. 66 (1991) 219
6. Yabe T., Xiao F., and Utsumi T. The constrained interpolation profile method for multiphase analysis. J. Comput. Phys. 169 (2001) 556
7. Utsumi T., Aoki T., and Kunugi T. Stability and accuracy of the cubic interpolated propagation scheme. Comput. Phys. Commun. 101 (1997) 9
8. Tanaka R., Nakamura T., and Yabe T. Constructing exactly conservative scheme in a non-conservative form. Comput. Phys. Commun. 126 (2000) 232
9. Takizawa K., Yabe T., and Nakamura T. Multi-dimensional semi-Lagrangian scheme that guarantees exact conservation. Comput. Phys. Commun. 148 (2002) 137
10. Xiao F. A simple CIP finite volume method for incompressible flows. JSME Int. J. B 47 (2004) 664
11. Utsumi T., and Kimura H. Solutions of partial differential equations with the CIP-BS method. JSME Int. J. B 47 (2004) 761
12. Ogata Y., and Yabe T. Multi-dimensional semi-Lagrangian characteristic approach to the shallow water equations by the CIP method. Int. J. Comput. Eng. Sci. 5 (2004) 699
13. Aoki T. Interpolated Differential Operator (IDO) scheme for solving partial differential equations. Comput. Phys. Commun. 102 (1997) 132
14. Aoki T., Nishita S., and Sakurai K. Interpolated differential operator scheme and application to level set method. Comput. Fluid Dynam. J. 9 4 (2001) 418
15. Aoki T. 3D simulation for falling papers. Comput. Phys. Commun. 142 (2001) 326
16. Kobara T., Aoki T., and Tanahashi M. Interpolated Differential Operator (IDO) scheme for direct numerical simulation of two-dimensional homogeneous isotropic turbulence. Trans. JSME B 70 (2004) 2791 (in Japanese)
17. Chu P.C., and Fan C. A three-point combined compact difference scheme. J. Comput. Phys. 140 (1998) 370
18. Harlow F.H., and Welch J.E. A numerical calculation of time dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8 (1965) 2182
19. Amsden A.A., and Harlow F.H. A simplified MAC technique for incompressible fluid flow calculations. J. Comput. Phys. 6 (1970) 322
20. Sakurai K., Aoki T., Lee W.H., and Kato K. Poisson equation solver with fourth-order accuracy by using interpolated differential operator scheme. Comput. Math. Appl. 43 (2002) 621
21. Thompson M.C., and Ferziger J.H. An adaptive multigrid technique for the incompressible Navier-Stokes equations. J. Comput. Phys. 82 (1989) 94