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Multiparticle collision dynamics (MPCD) is a flexible and robust mesoscalecomputational technique for simulating solvent-mediated hydrodynamicinteractions in soft materials. Here, we provide a critical overview of theMPCD method and summarize its current strengths and limitations. Thecapabilities of the method are highlighted by reviewing its recent applicationsto simulate diverse phenomena, ranging from the flow of complex fluids andthermo-osmotic transport to bacterial swimming and active particleself-assembly. We also discuss outstanding challenges and emergingmethodological developments that are expected to greatly expand theapplicability of MPCD to other systems of technological importance.

Modeling hydrodynamic interactions in soft materials with multiparticle collision dynamics