|
|
|
References
|
|
|
1. |
Prasad A. K., Koseff J. R., “Reynolds number and end-wall effects on a lid-driven cavity flow”, Phys. Fluids, 1:2 (1989), 208–218 |
2. |
Shankar P. N., Deshpande M. D., “Fluid Mechanics in the Driven Cavity”, Annu. Rev. Fluid Mech., 32 (2000), 93–136 |
3. |
Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970, 205 pp. |
4. |
Ghia U., Ghia K. N., Shin C. T., “High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method”, J. Comp. Phys., 48 (1982), 387–411 |
5. |
Barragy E., Carey G. F., “Stream Function-Vorticity Driven Cavity Solutions Using p Finite Elements”, Computers and Fluids, 26 (1997), 453–468 |
6. |
Erturk E., Corke T. C., Gokcol C., “Numerical Solutions of 2-D Steady Incompressible Driven Cavity Flow at High Reynolds Numbers”, Int. J. Numer. Meth. Fluids, 48 (2005), 747–774 |
7. |
Erturk E., Gokcol C., “Fourth Order Compact Formulation of Navier-Stokes Equations and Driven Cavity Flow at High Reynolds Numbers”, Int. J. Numer. Meth. Fluids, 50 (2006), 421–436 |
8. |
Isaev S. A. i dr., “Modelirovanie laminarnogo tsirkulyatsionnogo techeniya v kvadratnoi kaverne s podvizhnoi granitsei pri vysokikh chislakh Reinoldsa”, Inzhenerno-fiz. zhurn., 75:1 (2002), 55–60 |
9. |
Isaev S. A. i dr., “Modelirovanie laminarnogo tsirkulyatsionnogo techeniya v kvadratnoi kaverne s podvizhnoi granitsei pri vysokikh chislakh Reinoldsa s pomoschyu paketov VP2/3 i FLUENT”, Inzhenerno-fiz. zhurn., 78:4 (2005), 163–179 |
10. |
Fortin A. et al., “Localization of Hopf bifurcations in Fluid Flow problems”, Int. J. Numer. Meth. Fluids, 24 (1997), 1185–1210 |
11. |
Sahin M., Owens R. G., “A novel fully-implicit finite volume method applied to the lid-driven cavity problem. Part II. Linear stability analysis”, Int. J. Numer. Meth. Fluids, 42 (2003), 79–88 |
12. |
Cazemier W., Verstappen R. W. C. P., Veldman A. E. P., “Proper orthogonal decomposition and low-dimensional models for driven cavity flows”, Phys. Fluids, 10:7 (1998), 1685–1698 |
13. |
Fletcher K., Vychislitelnye metody v dinamike zhidkostei, v. 2, Mir, M., 1991, 552 pp. |
14. |
Weinan E., Liu J. G., “Vorticity boundary conditions and related issues for finite difference schemes”, J. Comp. Phys., 124 (1996), 368–382 |
15. |
Trottenberg U., Oosterlee C. W., Schuller A., Multigrid, Acad. Press, London, 2001, 631 pp. |
16. |
Roache P. J., “Quantification of uncertainty in computational fluid dynamics”, Annu. Rev. Fluid Mech., 29 (1997), 123–160 |
17. |
Nuriev A. N., “Ustoichivost ploskogo statsionarnogo techeniya v kaverne s podvizhnoi kryshkoi”, Trudy matem. tsentra im. Lobachevskogo, 37, 2008, 133–135 |
18. |
Gomes F. M., Sorensen D. C., ARPACK++: A C++ Implementation of ARPACK Eigenvalue Package www.caam.rice.edu/software/ARPACK/ |
19. |
Kuznetsov Y. A., Elements of Applied Bifurcation Theory, Springer, Berlin, 1995, 591 pp. |
20. |
Johannsen K., “On the validity of the Boussinesq approximation for the Elder problem”, Comp. Geosci., 7 (2003), 169–182 |
21. |
Abouhamza A., Pierre R., “A neutral stability curve for incompressible flows in a rectangular driven cavity”, Math. Comp. Modelling, 38 (2003), 141–157 |