A multigrid pseudospectral method for steady flow computation

International Journal for Numerical Methods in Fluids

Volumn 43, Issue 1, 2003, Pages 25-42

  Chou, Mo Hong ^a  

^a INSTITUTE OF MATHEMATICS   (Taiwan)

Author keywords

Multigrid; Picard iteration; Pseudospectral; Random perturbation

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL OPERATORS; NAVIER STOKES EQUATIONS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

PSEUDOSPECTRAL METHODS;

STEADY FLOW;

COMPUTATIONAL FLUID DYNAMICS; INCOMPRESSIBLE FLOW; NAVIER-STOKES EQUATIONS; REYNOLDS NUMBER; TWO-DIMENSIONAL FLOW;

EID: 0043239141     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.597     Document Type: Article

References (21)

1. Chorin AJ. A numerical method for solving incompressibe viscous flow problems. Journal of Computational Physics 1967; 2:12-26.
2. Peyret R, Taylor TD. Computational Methods for Fluid Flow. Springer: New York, 1983.
3. Gresho PM, Sani RL. Incompressible Flow and the Finite Element Method. John Wiley & Sons: New York, 1998.
4. Ferziger JH, Perić M. Computational Methods for Fluid Dynamics. Springer: Berlin, 1999.
5. Canuto C, Hussaini MY, Quarteroni A, Zang TA. Spectral Methods in Fluid Dynamics. Springer: New York, 1988.
6. Peyret R. Spectral Methods for Incompressible Viscous Flow. Springer: New York, 2002.
7. Chou MH. A multigrid finite difference approach to steady flow between eccentric rotating cylinders. International Journal for Numerical Methods in Fluids 2000; 34:479-494.
8. Gottlieb D, Orszag SA. Numerical Analysis of Spectral Methods. SIAM: Philadelphia, 1977.
9. Fornberg B. A Practical Guide to Pseudospectral Methods. Cambridge University Press: Cambridge, 1998.
10. Kleiser L, Schumann U. Treatment of incompressibility and boundary conditions in 3-D numerical spectral simulations of plane channel flows. In Proceedings of the 3rd GAMM Conference on Numerical Methods in Fluid Mechanics, Hirschel EH (ed.). Vieweg: Braunschweig, 1980; 165-173.
11. Ehrenstein U, Peyret R. A Chebyshev collocation method for the Navier-Stokes equations with applications to double-diffusive convection. International Journal for Numerical Methods in Fluids 1989; 9:427-452.
12. Freund RW, Nachtigal NM. QMR: A quasi-minimal residual method for non-Hermitian linear systems. Numerische Mathematik 1991; 60:315-339.
13. Chou MH. On flow simulation and multigrid acceleration. NCTS Workshop on Multiscale Analysis and Computation 2002 (June); National Center for Theoretical Sciences, Taiwan.
14. Brandt A. Guide to multigrid development. In Multigrid Methods, Lecture Notes in Mathematics, vol. 960, Hackbush W, Trottenberg U (eds). Springer: Berlin, 1982; 220-312.
15. Vandeven H. Family of spectral filters for discontinuous problems. Journal of Scientific Computing 1991; 6(2):159-192.
16. Zang TA, Wong YS, Hussaini MY. Spectral multigrid methods for elliptic equations II. Journal of Computational Physics 1984; 54:489-507.
17. Wannier GH. A contribution to the hydrodynamics of lubrication. Quarterly of Applied Mathematics 1950; 8(l):1-32.
18. Ballal BY, Rivlin RS. Flow of Newtonian fluid between eccentric rotating cylinders: inertial effects. Archive for Rational Mechanics and Analysis 1976; 62:237-294.
19. Shen J. Hopf bifurcation of the unsteady regularized driven cavity flow. Journal of Computational Physics 1991; 95:228-245.
20. Phillips TN, Roberts GW. The treatment of spurious pressure modes in spectral incompressible flow calculations. Journal of Computational Physics 1993; 105:150-164.
21. Pinelli A, Vacca A. Chebyshev collocation method and multidomain decomposition for the incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids 1994; 18:781-799.