We developed a unique numerical method for direct numerical simulations (DNS) of dense colloidal dispersions. This method, called the smoothed profile method (SPM), enables us to compute the time evolutions of colloidal particles, ions, and host fluids simultaneously by solving Newton, advection-diffusion, and Navier-Stokes equations so that the electro- hydrodynamic couplings can be fully taken into account. We have applied the SPM successfully for simulating the dynamics of various particle dispersions including the following problems.
1) electrophoresis of charged colloids (DC/AC fields)
2) thermal diffusion of colloidal particles
3) rheology of colloidal dispersions
4) motions of a chain in shear flow
5) hindered settling of particles
6) the motions of colloidal particles in a compressible fluid
Recently, the SPM is extended for dispersions of self-propelled particles (squirmer) and also for dispersions of rigid particles. One can download an open software called KAPSEL, which implements the SPM, from the website.
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