Simulation of Taylor-Couette flow . Part 1 . Numerical methods and comparison with experiment

@inproceedings{Philip2004SimulationOT,
  title={Simulation of Taylor-Couette flow . Part 1 . Numerical methods and comparison with experiment},
  author={Philip and M Marcus},
  year={2004}
}
We present a numerical method that allows us to solve the Navicr-Stokes equation with boundary conditions for the viscous flow between two concentrically rotating cylinders as an initial-value problem. We use a pseudospectral code in which all of the time-splitting errors are removed by using a set of Green functions (capacitance matrix) that allows us to satisfy the inviscid boundary conditions exactly. For this geometry we find that a small time-splitting error can produce large errors in the… CONTINUE READING

Citations

Publications citing this paper.
Showing 1-10 of 23 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 32 references

Vector eigenfunction expansions for the growth of Taylor vortices in the flow between rotating cylinders. I n Nonlinear Partial Differential Equations (ed

  • R C.
  • 1967
Highly Influential
4 Excerpts

On the instability of Taylor vortices

  • J T.
  • J . Fluid
  • 1968
Highly Influential
9 Excerpts

Instabilities and transition in flow between concentric rotating cylinders. I n Hydrodynamic Instabilities and the Transition to Turbulence

  • H L.
  • 1981
Highly Influential
1 Excerpt

An empirical torque relation for supercritical flow between rotating cylinders

  • N J.
  • J . Fluid Mech
  • 1960
Highly Influential
1 Excerpt

Wave speeds in wavy

  • P S.
  • 1984

Wave speeds in wavy transient implicit method . Comp . Fluids 6 , 259 - 269 . in the circular Couette system

  • G. P. KIKG, Y. Lr, W. LEE, H. L. SWINNEY, P. S. M RCL-S
  • 1984

Secondary instability of wall-bounded shear flows

  • A T.
  • J . Fluid
  • 1983

Spatial and temporal characteristics of modulated waves

  • H L.
  • 1982

Similar Papers

Loading similar papers…