Finance

Oceanography

Physics

Smoothed-particle hydrodynamics

Mathematical optimization

Geology

Mathematical analysis

Finite element method

Multigrid method

Paleontology

Economics

Boundary value problem

Grid

Material point method

Geometry

Particle (ecology)

Solver

Sediment

Particle method

Sedimentation

Mathematics

Computer science

Mechanics

Momentum (technical analysis)

Discretization

Classical mechanics

Partial differential equation

Thermodynamics

ACM Transactions on Graphics

In this paper, we present a mixed explicit and semi-implicit Material Point Method for simulating particle-laden flows. We develop a Multigrid Preconditioned fluid solver for the Locally Averaged Navier Stokes equation. This is discretized purely on a semi-staggered standard MPM grid. Sedimentation is modeled with the Drucker-Prager elastoplasticity flow rule, enhanced by a novel particle density estimation method for converting particles between representations of either continuum or discrete points. Fluid and sediment are two-way coupled through a momentum exchange force that can be easily resolved with two MPM background grids. We present various results to demonstrate the efficacy of our method.

Animating fluid sediment mixture in particle-laden flows