The deformability of soft condensed matter often requires modelling ofhydrodynamical aspects to gain quantitative understanding. This, however,requires specialised methods that can resolve the multiscale nature of softmatter systems. We review a number of the most popular simulation methods thathave emerged, such as Langevin dynamics, dissipative particle dynamics,multi-particle collision dynamics, sometimes also referred to as stochasticrotation dynamics, and the lattice-Boltzmann method. We conclude this reviewwith a short glance at current compute architectures for high-performancecomputing and community codes for soft matter simulation.
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