I need to model a system of active particles in confinement and with hydrodynamic interactions between them and the walls of a channel. The channel is not constant but corrugated (smooth). The interactions between the walls and the particles will be done with a method similar to Ewald's sums called GgEM (General geometry Ewald-like method). But for computational facilities, I would like to do it in two dimensions. My question is: is it conceptually correct to deal with problems of hydrodynamic interactions of active particles doing 2D simulations? Do I necessarily have to do the simulations in 3D?

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