A method for simulating visual effects is disclosed. The method comprises modeling each visual effect within a simulation as a set of associated particles with associated constraints applicable thereto. It also comprises predicting first velocities and first positions of a plurality of particles being used to simulate a visual effect based on an external force applied to the plurality of particles. Next, it comprises identifying a set of neighboring particles for each of the plurality of particles. The method also comprises solving a plurality of constraints related to the visual effect, wherein each of the plurality of constraints is solved for the plurality of particles in parallel. Lastly, responsive to the solving, the method comprises determining second velocities and second positions for the plurality of particles.