Position-based dynamics simulation

A computer implemented method of simulating a dynamic object comprising a plurality of particles, the method comprising:

• defining a current position and a current velocity for the plurality of particles;
• determining multipliers for a plurality of positional constraints of the plurality of particles over a plurality of iterations, wherein the multipliers regularize the plurality of positional constraints and correspond to an elastic potential energy of the constraints;
• and
• determining subsequent positions of the plurality of particles based on the current position, the plurality of positional constraints, and the multipliers.

A computer system for simulating a dynamic object comprising a plurality of particles, the computer system comprising:

• a memory operable for storing data and instructions of an application;
• and
• a processor communicatively coupled to the memory, wherein the processor is configured to perform, responsive to the instructions, a method of simulating the dynamic object, the method comprising:
• defining a current position and a current velocity for the plurality of particles;
• determining multipliers for a plurality of positional constraints of the plurality of particles over a plurality of iterations, wherein the multipliers regularize the plurality of positional constraints and correspond to an elastic potential energy of the plurality of positional constraints;
• and
• determining subsequent positions of the particles based on the current position, the plurality of positional constraints, and the multipliers.