A Transform-Free HOC Scheme for Incompressible Viscous Flow past a Rotationally Oscillating Circular Cylinder
A numerical study is made of laminar, unsteady flow
behind a rotationally oscillating circular cylinder using a recently
developed higher order compact (HOC) scheme. The stream function
vorticity formulation of Navier-Stokes (N-S) equations in cylindrical
polar coordinates are considered as the governing equations. The
temporal behaviour of vortex formation and relevant streamline
patterns of the flow are scrutinized over broad ranges of two
externally specified parameters namely dimensionless forced
oscillating frequency Sf and dimensionless peak rotation rate αm for
the Reynolds-s number Re = 200. Excellent agreements are found
both qualitatively and quantitatively with the existing experimental
and standard numerical results.
[1] J. C. Kalita, A. K. Dass, D. C. Dalal, "A transformation-free HOC
scheme for steady-state convection diffusion on non-uniform grids", Int.
J. Numer. Methods Fluids, vol. 44, pp. 33-53, 2004.
[2] J. C. Kalita, and R. K. Ray, "A transformation-free HOC scheme for
incompressible viscous flows past an impulsively started circular
cylinder", J. Computational Physics, vol. 228, pp. 5207-5236, 2009.
[3] R. K. Ray, and J. C. Kalita, "A transformation-free HOC scheme for
incompressible viscous flows on non-uniform polar grids", Int. J.
Numer. Methods Fluids, vol. 62, pp. 683-708, 2010.
[4] R. K. Ray, "A transformation free HOC scheme for incompressible
viscous flow past a rotating and translating circular cylinder", J. Sci.
Comput., vol. 46, pp. 265-293, 2011.
[5] M. Cheng, Y. T. Chew, and S. C. Luo, "Numerical investigation of a
rotationally oscillating cylinder in a mean flow", J. Fluids and
Structures, vol. 15, pp. 981-1007, 2001.
[6] X. Y. Lu, and J. Sato, "A numerical study of flow past a rotationally
oscillating circular cylinder", J. Fluids and Structures, vol. 10, pp. 829-
849, 1996.
[1] J. C. Kalita, A. K. Dass, D. C. Dalal, "A transformation-free HOC
scheme for steady-state convection diffusion on non-uniform grids", Int.
J. Numer. Methods Fluids, vol. 44, pp. 33-53, 2004.
[2] J. C. Kalita, and R. K. Ray, "A transformation-free HOC scheme for
incompressible viscous flows past an impulsively started circular
cylinder", J. Computational Physics, vol. 228, pp. 5207-5236, 2009.
[3] R. K. Ray, and J. C. Kalita, "A transformation-free HOC scheme for
incompressible viscous flows on non-uniform polar grids", Int. J.
Numer. Methods Fluids, vol. 62, pp. 683-708, 2010.
[4] R. K. Ray, "A transformation free HOC scheme for incompressible
viscous flow past a rotating and translating circular cylinder", J. Sci.
Comput., vol. 46, pp. 265-293, 2011.
[5] M. Cheng, Y. T. Chew, and S. C. Luo, "Numerical investigation of a
rotationally oscillating cylinder in a mean flow", J. Fluids and
Structures, vol. 15, pp. 981-1007, 2001.
[6] X. Y. Lu, and J. Sato, "A numerical study of flow past a rotationally
oscillating circular cylinder", J. Fluids and Structures, vol. 10, pp. 829-
849, 1996.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:61957", author = "Rajendra K. Ray and H. V. R. Mittal", title = "A Transform-Free HOC Scheme for Incompressible Viscous Flow past a Rotationally Oscillating Circular Cylinder", abstract = "A numerical study is made of laminar, unsteady flow
behind a rotationally oscillating circular cylinder using a recently
developed higher order compact (HOC) scheme. The stream function
vorticity formulation of Navier-Stokes (N-S) equations in cylindrical
polar coordinates are considered as the governing equations. The
temporal behaviour of vortex formation and relevant streamline
patterns of the flow are scrutinized over broad ranges of two
externally specified parameters namely dimensionless forced
oscillating frequency Sf and dimensionless peak rotation rate αm for
the Reynolds-s number Re = 200. Excellent agreements are found
both qualitatively and quantitatively with the existing experimental
and standard numerical results.", keywords = "HOC, Navier-Stokes, non-uniform polar grids,
rotationally oscillating cylinder.", volume = "6", number = "12", pages = "1772-7", }