Substepping the Material Point Method

Abstract: Many Material Point Method implementations favor explicit time integration. However large time steps are often desirable for special reasons - for example, for partitioned coupling with another large-step solver, or for imposing constraints, projections, or multiphysics solves. We present a simple, plug-and-play algorithm that advances MPM with a large time step using substeps, effectively wrapping an explicit MPM integrator into a pseudo-implicit one.