Recirculation of viscous incompressible flows in

CMES - Computer Modeling in Engineering and Sciences

Volumn 41, Issue 2, 2009, Pages 107-130

  Báez, Elsa ^a   Nicolás, Alfredo ^a  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; ITERATIVE METHODS; REYNOLDS NUMBER; VISCOUS FLOW;

ASYMPTOTIC STEADY STATE; HIGH REYNOLDS NUMBER; LID-DRIVEN CAVITIES; MODERATE REYNOLDS NUMBERS; OPERATOR SPLITTING TECHNIQUE; SPATIAL DISCRETIZATIONS; VISCOUS INCOMPRESSIBLE FLOWS; VISCOUS INCOMPRESSIBLE FLUID FLOWS;

NAVIER STOKES EQUATIONS;

EID: 67049164897     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (34)

1. Arefmanesh A., Najafi M., and Abdi H. (2008) : Meshless Local Petrov-Galerkin Method with Unity Test Function for Non-Isothermal Fluid Flow. CMES: Computer Modeling in Engineering and Sciences, vol. 25, no. 1, 9-22.
2. Adams J., Swarztrauber P. and Sweet R. (1980) : FISHPACK: A Package of Fortran Subprograms for the Solution of Separable Elliptic PDE's, The National Center for Atmospheric Research, Boulder, CO, USA.
3. Badalassi V. E., Ceniceros H. D., Banerjee S. (2003) : Computation of multiphase systems with phase field models. Journal of Computational Physics, 190, 371-397.
4. Bermúdez B., Nicolás A. (1999) : An operator splitting numerical scheme for thermal/isothermal incompressible viscous flows. International Journal for Numerical Methods in Fluids, 29, 397-410.
5. Bristeau M. O., Glowinski R., Periaux J. (1987) Numerical Methods for the N-S Equations. Computer Physics Report, 6, 73-187.
6. Bruneau C-H, Jouron C. (1990) : An efficient scheme for solving steady incompressible Navier-Stokes equations. Journal of Computational Physics, 89, 389-413.
7. Erturk E., Corke, T. C., Gökçöl C. (2005) : Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers. International Journal for Numerical Methods in Fluids 48, 747-774.
8. Foias C., Manley O., Rosa R. and Temam R. (2001) : Navier-Stokes Equations and Turbulence Cambridge University Press.
9. Ghia U., Ghia N., Shin C. T. (1982) : High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Journal of Computational Physics, 48, 387-411.
10. Glowinski R. (1984) : Numerical Methods for Non-Linear Variational Problems. Springer: Berlini
11. Glowinski R. (2003) : Handbook of Numerical Analysis: Numerical Methods for Fluids (Part 3). North-Holland: Amsterdam.
12. Goyon O. (1996) : High-Reynolds number solutions of Navier-Stokes equations using incremental unknowns. Computer Methods in Applied Mechanics and Engineering, 130, 319-335.
13. Gresho P. and Sani R. (1987) : On pressure boundary conditions for incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids, 7, 1111-1145.
14. Grimaldi A., Pascazio G., Napolitano M. (2006) : A Parallel Multi-block Method for the Unsteady Vorticity-velocity Equations. CMES: Computer Modeling in Engineering and Sciences, vol. 14, no. 1, 45-56.
15. Gunzburger M. D. (1989) : Finite Element Methods for Viscous Incompressible Flows: A guide to theory, practice, and algorithms. Academic Press: New York
16. Karniadakis G., Israeli M., Orszag S. (1991) : High-Order Splitting Methods for the Incompressible Navier-Stokes Equations. Journal of Computational Physics, 97, 414-443.
17. Kosec G. and Sãrler B. (2008) : Local RBF Collocation Method for Darcy Flow. CMES: Computer Modeling in Engineering and Sciences, vol. 25, no. 3, 197-207.
18. Landau, L. D., Lifshitz, E. M. (1989) : Fluid Mechanics. Pergamon Press, INC.
19. Mai-Duy N., Mai-Cao L. and Tran-Cong T. (2007) : Computation of transient viscous flows using indirect radial basis function networks. CMES: Computer Modeling in Engineering and Sciences, vol. 18, no. 1, 59-77.
20. Mariani V. C., Alonso E. E. M. and Peters S. (2008) : Numerical Results for a Colocated Finite-Volume Scheme on Voronoi Meshes for Navier-Stokes Equations. CMES: Computer Modeling in Engineering and Sciences, vol. 29, no. 1, 15-27.
21. Mohammadi M. H. (2008) : Stabilized Meshless Local Petrov-Galerkin (MLPG) Method for Incompressible Viscous Fluid Flows. CMES: Computer Modeling in Engineering and Sciences, vol. 29, no. 2, 75-94.
22. Mohammadi B. and Pironnneau O. (1994) : Analysis of the K-Epsilon TURBU- LENCE MODEL. John Wiley and Sons and Masson.
23. Nicolás A., Bermúdez B. (2004) : 2D incompressible viscous flows at moderate and high Reynolds numbers. CMES: Computer Modeling in Engineering and Sciences, vol. 6, 441-451.
24. Nicolás A., Bermúdez B. (2005) : 2D thermal/isothermal incompressible viscous flows. International Journal for Numerical Methods in Fluids, 48, 349-366.
25. Nicolás A., Bermúdez B. (2007) : Viscous Incompressible Flows by the Velocity- Vorticity Navier-Stokes Equations. CMES: Computer Modeling in Engineering and Sciences, vol. 20, no 2, 73-83.
26. Orszag S., Israeli M., Deville M. (1986) : Boundary conditions for incompressible flows. Journal of Scientific Computing, 1, 75-111.
27. Sahin M., Owens R. G. (2003) : A novel fully implicit finite volume method applied to the lid-driven cavity problem -part I: high Reynolds number flow calculations. International Journal for Numerical Methods in Fluids, 42, 57-77.
28. Sani R. L., Shen J., Pironneau O., Gresho P. (2006) : Pressure boundary condition for the time-dependent incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids, 50, 673-682.
29. Schreiber R., Keller H. B. (1983) : Driven cavity flow by efficient numerical techniques. Journal of Computational Physics, 40, 310-333.
30. Sellountos E. J. and Sequeira A. (2008) : A Hybrid Multi-region BEM/LBEI-RBF Velocity-Vorticity Scheme for the Two-Dimensional Navier-Stokes Equations. CMES Computer Modeling in Engineering and Sciences, vol. 23, no. 2, 127-147.
31. Shu C., Ding H., Yeo K. S. (2005) : Computation of Incompressible Navier-Stokes Equations by Local RBF-based Differential Quadrature Method. CMES: Computer Modeling in Engineering and Sciences, vol. 7, no. 2, 195-206.
32. Sweet, R. (1977) : A cyclic reduction algorithm for solving block tridiagonal systems of arbitrary dimensions. SIAM Journal on Numerical Analysis, 14, 706-719.
33. TemamR. (2001) : Navier-Stokes Equations, Theory and Numerical Analysis. AMS CHELSEA PUBLISHING: Providence RH., USA.
34. Trindade J. M. F. and Pereira J. C. F. (2007) : On the Efficiency of the Parallel-in- Time Finite Volumen Calculation of the Unsteady Navier-Stokes Equations. CMES: Computer Modeling in Engineering and Sciences, vol. 20, no. 1, 1-10.