Abstract: Dissipative particle dynamics (DPD) is a simulation method at mesoscopic scales that bridges the gap between molecular dynamics and continuum hydrodynamics. It can simulate efficiently complex liquids and dense suspensions using only a few thousands of virtual particles and at speed-up factors of more than one hundred thousands compared to molecular dynamics. Here we demonstrate the potential and accuracy of the method by computing well known scaling laws for polymer flows from simulations on a laptop, using new time-staggered algorithms.