References
- Alves, M. A., F. T. Pinho and P. J. Oliveira, 2001, The flow of viscoelastic fluids past a cylinder: finite-volume high-resolution methods, J Non-Newtonian Fluid Mech. 97, 207-232 https://doi.org/10.1016/S0377-0257(00)00198-1
- Brooks, A. N. and T. J. R. Hughes, 1982, Streamline upwind/ Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Comput. Mrthods Appl. Mech. Eng. 32, 199-259 https://doi.org/10.1016/0045-7825(82)90071-8
- Cadot, O. and M. Lebey, 1999, Phys. Fluids 11, 494-496 https://doi.org/10.1063/1.869864
- Cadot, O. and S. Kumar, 2000, J Fluid Mech. 416, 151-172 https://doi.org/10.1017/S0022112000008818
- Caola A. E., Y. L. Joo, R. C. Armstrong and R. A. Brown, 2001, Highly parallel time integration of viscoelastic flows, J Non-Newtonian Fluid Mech. 100, 191-216 https://doi.org/10.1016/S0377-0257(01)00136-7
- Carew, E. O. A., P. Townsend and M. F. Webster, 1993, A taylorpetrov- galerkin algorithm for viscoelastic flow, J Non-Newtonian Fluid Mech. 50, 253-287 https://doi.org/10.1016/0377-0257(93)80034-9
- Deville, M. O., P. F. Fischer and E. H. Mund, 2002, High-order methods for incompressible fluid flow, Cambridge University Press, Cambridge, UK
- Dimitropoulos, C. D., R. Sureshkumar and A. N. Beris, 1998, Direct numerical simulation of viscoelastic turbulent channel flow exhibiting drag reduction: effect of the variation of rheological parameters, J Non-Newtonian Fluid Mech. 79, 433 https://doi.org/10.1016/S0377-0257(98)00115-3
- Fan, Y. and M. J. Crochet, 1995, High-order finite element methods for steady viscoelastic flows, J Non-Newtonian Fluid Mech. 57, 283-311 https://doi.org/10.1016/0377-0257(94)01338-I
- Graham, M. D., 2003, Interfacial hoop stress and instability of viscoelastic free surface flows, Physics Fluids 15, 1702-1710 https://doi.org/10.1063/1.1568340
- Groisman, A. and V. Steinberg, 2000, Elastic turbulence in a polymer solution flow, Nature 405, 53-55 https://doi.org/10.1038/35011019
- Kang, S., H. Choi and S. Lee, 1999, Laminar flow past a rotating circular cylinder, Phys. Fluids 11, 3312-3321 https://doi.org/10.1063/1.870190
- Kang, S., 2006, Laminar flow over a steadily rotating circular cylinder under the influence of uniform shear, Phys. Fluids 18, 047106 https://doi.org/10.1063/1.2189293
- Kirn, J. M., C. Kim, K. H. Ahn and S. J. Lee, 2004, An efficient iterative solver and high-resolution computations of the Oldroyd-B fluid flow past a confined cylinder, J Non-Newtonian Fluid Mech. 123(2-3), 161-173 https://doi.org/10.1016/j.jnnfm.2004.08.003
- Lilek Z., S. Muzaferija, M. PeriE and V. Seidl, 1997, Computation of unsteady flows using nonmatching blocks of structured grids, Numer. Heat Transf B 32, 403-418 https://doi.org/10.1080/10407799708915016
- McKinley, G H., R. C. Armstrong and R. A. Brown, 1993, The wake instability in viscoelastic flow past confined circular cylinders, Phil. Trans. Roy. Soc. Lond. A 344, 265-304 https://doi.org/10.1098/rsta.1993.0091
- McKinley, G. H., P. Pakdel and A. Oztekin, 1996, Rheological and geometric scaling of purely elastic instabilities, J Non-Newtonian Fluid Mech. 67, 19-47 https://doi.org/10.1016/S0377-0257(96)01453-X
- Min, T., J. Y. Yoo and H. Choi, 2001, Effect of spatial discretization schemes on numerical solutions of viscoelastic fluid flows, J Non-Newtonian Fluid Mech. 100, 27-47 https://doi.org/10.1016/S0377-0257(01)00128-8
- Min, T., J. Y. Yoo and H. Choi, 2003, Maximum drag reduction in a turbulent channel flow by polymer additives, J Fluid Mech. 492, 91-100 https://doi.org/10.1017/S0022112003005597
- Nigen, S. and K. Walters, 2002, Viscoelastic contraction flows: comparison of axisymmetric and planar configurations, J Non-Newtonian Fluid Mech. 102, 343-359 https://doi.org/10.1016/S0377-0257(01)00186-0
- Oliveira, P. J., 2001 , Method for time-dependent simulations of viscoelastic flows: vortex shedding behind cylinder, J Non-Newtonian Fluid Mech. 101, 113-137 https://doi.org/10.1016/S0377-0257(01)00146-X
- Oliveira, P. J. and A. I. P. Miranda, 2005, A numerical study of steady and unsteady viscoelastic flow past bounded cylinders, J Non-Newtonian Fluid Mech. 127, 51-66 https://doi.org/10.1016/j.jnnfm.2005.02.003
- Papanastasiou, T. C., N. Malamataris and K. Ellwood, 1992, A new outflow boundary condition, Int. J Numer. Methods Fluids 14, 587-608 https://doi.org/10.1002/fld.1650140506
- Park, J., K. Kwon and H. Choi, 1998, Numerical solutions of flow past ,a circular cylinder at Reynolds number up to 160, KSME Int. J 12, 1200-1205
- Park, S. J. and S. J. Lee, 1999, On the use ofthe open boundary condition method in the numerical simulation of nonisothermal viscoelastic flow, J. Non-Newtonian Fluid Mech. 87(2-3), 197-214 https://doi.org/10.1016/S0377-0257(99)00064-6
- Rothstein, J. P. and G. H. McKinly, 1999, Extensional flow of a polystyrene Boger fluid through a 4:1:4 axisymmetric contraction/expansion, J. Non- Newtonian Fluid Mech. 86, 61-88 https://doi.org/10.1016/S0377-0257(98)00202-X
- Sahin, M. and R. G. Owens, 2004, On the effect of viscoelasticity on two-dimentional vortex dynamics in the cylinder wake, J Non-Newtonian Fluid Mech. 123, 121-139 https://doi.org/10.1016/j.jnnfm.2004.08.002
- Saramito, P. and J. M. Piau, 1994, Flow characteristics of viscoelastic fluids in an abrupt contraction by using numerical modeling, J. Non-Newtonian Fluid Mech. 52, 263-288 https://doi.org/10.1016/0377-0257(94)80055-3
- Spiegelberg H. and G. H. McKinley, 1996, Stress relaxation and elastic decohesion of viscoelastic polymer solutions in extensional flow, J. Non-Newtonian Fluid Mech. 67, 49-76 https://doi.org/10.1016/S0377-0257(96)01475-9
- Stojkovic, D., M. Breuer and F. Durst, 2002, Effect of high rotation rates on the laminar flow around a circular cylinder, Phys Fluids 14(9), 3160-3178 https://doi.org/10.1063/1.1492811
- Stojkovic, D., P. Schon, M. Breuer and F. Durst, 2003, On thε new vortex shedding mode past a rotating circular cylinder, Phys. Fluids 15(5), 1257-1260 https://doi.org/10.1063/1.1562940
- Sunwoo, G. B , S. J. Park, S. J. Lee, K. H. Ahn and S. J. LEE, 2001, Numerical simulation of three-dimensional viscoelastic flow using the open boundary condition method in coextrusion process, J Non-Newtonian Fluid Mech. 99(2-3), 125-144 https://doi.org/10.1016/S0377-0257(01)00115-X
- Surεshkwnar, R., A. N. Beris and R. A. Handler, 1997, Direct numerical simulation of the turbulent channel flow of a polymer solution, Phys. Fluids 9(3), 743-755 https://doi.org/10.1063/1.869229
- Usui, H., T. Shibata and Y. Sano, 1980, J Chem. Eng. Jpn. 13, 77-79 https://doi.org/10.1252/jcej.13.77
- van der Vorst, H. A., 1992, Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of non-symmetric linear systems, SIAM J Sci. Stat. Comput. 12, 631-634
- Williamson, C. H. K., 1996, Vortex dynamics in the cylinder wake, Annu. Rev. Fluid Mech. 28, 477-539 https://doi.org/10.1146/annurev.fl.28.010196.002401