Stokesian dynamics simulations hydrodynamic interactions

The importance of hydrodynamic interactions (HI) in complex fluids is generally accepted. A standard procedure for determining the influence of HI is to investigate the same system with and without HI. In order to compare results, however, the two simulations must differ as little as possible - apart from the inclusion of HI. A well-known example of this approach is Stokesian dynamics simulations (SD), where Ihe original BD method can be extended by inclnding hydrodynamic interactions in the mobility matrix by employing the Oseen tensor [6,12]. 

Stokesian dynamics is a numerical technique for simulating the dynamic hehaviour of colloidal suspensions (sedimentation, rheology), where the motions of the individual particles is driven hy Brownian and volume forces (including particle interactions) and coupled by hydrodynamic interaction. In a more general approach than in Eq. (4.69), the hydrodynamic forces are traced back to the generalised particle velocities Vp and the velocity gradients E ... 

Besides these investigations first attempts to study shear flow have been made, using BD simulations. We should also finally mention that the BD approach can be applied to suspensions as well. For these systems, there exist highly developed simulation schemes, which employ rather accurate diffusion tensors taking into account both the fmiteness of the Brownian particles as well as the hydrodynamic interactions with the periodic images via Ewald sums. For more information on these so-called Stokesian Dynamics , see, e.g.. Ref. 94. Due to the computational complexity, only moderate system sizes can be studied. 

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