Thecalculationofsettlingspeedofcoarseparticlesisfirstlyaddressed,withacceleratedStokesiandynamicswithoutadjustableparameters,inwhichfarfieldforceactingontheparticleinsteadofparticlevelocityischosenasdependentvariablestoconsiderinter-particlehydrodynamicinteractions.Thesedimentationofasimplecubicarrayofsphericalparticlesissimulatedandcomparedtotheresultsavailabletoverifyandvalidatethenumericalcodeandcomputationalscheme.TheimprovedmethodkeepsthesamecomputationalcostoftheorderO(NlogN)asusualacceleratedStokesiandynamicsdoes.Then,morerealisticrandomsuspensionsedimentationisinvestigatedwiththehelpofMontCarlomethod.Thecomputationalresultsagreewellwithexperimentalfitting.Finally,thesedimentationoffinercohesiveparticle,whichisoftenobservedinestuaryenvironment,ispresentedasafurtherapplicationincoastalengineering.