A new method for material point method particle updates that reduces noise and enhances stability

摘要: Abstract Current material point method (MPM) particle updates use a PIC approach, FLIP or linear combination of and FLIP. A update filters velocity in each time step, which causes unwanted numerical diffusion, while eliminates that but may retain too much noise. This paper develops new termed XPIC( m ) (for eXtended order because it generalizes updates. XPIC(1) is identical to current methods, higher orders address the over filtering diffusion PIC, still out noise caused by nontrivial null space extrapolation matrix used MPM. As → ∞ , converges modified with orthogonal removal The frequency response properties are investigated several examples demonstrate its advantages other methods.