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Microorganisms naturally move in microstructured fluids. Using the simulationmethod of multi-particle collision dynamics, we study an undulatory Taylor lineswimming in a two-dimensional microchannel and in a cubic lattice of obstacles,which represent simple forms of a microstructured environment. In themicrochannel the Taylor line swims at an acute angle along a channel wall witha clearly enhanced swimming speed due to hydrodynamic interactions with thebounding wall. While in a dilute obstacle lattice swimming speed is alsoenhanced, a dense obstacle lattice gives rise to geometric swimming. This newtype of swimming is characterized by a drastically increased swimming speed.Since the Taylor line has to fit into the free space of the obstacle lattice,the swimming speed is close to the phase velocity of the bending wave travelingalong the Taylor line. While adjusting its swimming motion within the lattice,the Taylor line chooses a specific swimming direction, which we classify by alattice vector. When plotting the swimming velocity versus the magnitude of thelattice vector, all our data collapse on a single master curve. Finally, wealso report more complex trajectories within the obstacle lattice.

Taylor line swimming in microchannels and cubic lattices of obstacles