Kl. Henderson et Cf. Barenghi, NUMERICAL-METHODS FOR 2-FLUID HYDRODYNAMICS - APPLICATION TO THE TAYLOR VORTEX FLOW OF SUPERFLUID-HELIUM-II, Journal of low temperature physics, 98(5-6), 1995, pp. 351-381
We describe the numerical method which we have developed to solve for
the first time the fully nonlinear HVBK equations. These equations gen
eralise Landau's two fluid model to rake into account the presence of
quantised vol tices. We apply the method to investigate the flow patte
rn of helium II between rotating concentric cylinders (Taylor vortex f
low) at increasing Reynolds numbers. We compare the results against cl
assical Taylor vortex flow.