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We present a new algorithm, MULTIGRAIN, for modelling the dynamics of anentire population of small dust grains immersed in gas, typical of conditionsthat are found in molecular clouds and protoplanetary discs. The MULTIGRAINmethod is more accurate than single-phase simulations because the gasexperiences a backreaction from each dust phase and communicates this change tothe other phases, thereby indirectly coupling the dust phases together. TheMULTIGRAIN method is fast, explicit and low storage, requiring only an array ofdust fractions and their derivatives defined for each resolution element.

MULTIGRAIN: A smoothed particle hydrodynamics algorithm for multiple small dust grains and gas